For what slit-width-to-wavelength ratio does the first minimum of a single-slit diffraction pattern appear at 30 degrees?

The direction of electric field by the charge in and on the metal block will be along the direction line 5 as given in question.

The charge always remain on outer surface of metal and inside the metal block, the net electric field is zero. But due to dipole there is an electric field at the center of metal block i.e. at point R along direction line 1.

Now, to make make the net electric field zero at center, the electric field by the charge in and on the metal block must be equal in magnitude to that of electric field due to dipole at point R and in opposite direction to that of the net electric field at at R due to dipole.

The electric field by the charge in and on the metal block will be making 180° angle to the  electric field due to dipole at point R.

Hence the direction of electric field by the charge in and on the metal block will be along the direction line 5 as given in question.

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The correct option B) The object continues to roll without slipping, and the actual force of static friction doesn't change.

When an object experiences static friction, its frictional force resists any applied force, causing the object to stay at rest until the static frictional force is removed. The frictional force opposes an object's motion in kinetic friction.

In contrast, static friction occurs when two surfaces are at rest with regard to one another. Static friction ranges in value from zero to the minimum force required to initiate motion. The force necessary to initiate motion or to remove static friction is always greater than that needed to keep the motion going or to remove kinetic friction.

When an object and surface have twice as much friction as is required to prevent slippage, the object rolls onto the surface without slipping.

Thus, the ensuing motion is that the object keeps rolling without slipping, and the static friction's actual force remains constant.

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The mass of the body has a direct relationship to the force. The force exerted by small insects will be less because they weigh so little. As a result, the car exerts more force.

A body is changed from its state of rest or motion by the application of force, which is an external agent. Magnetic, frictional, nuclear, gravitational, and other types of forces are among them.

Force in physics is calculated as the sum of mass and acceleration.

F = ma is the formula for force. The force generated by a heavy body is therefore greater than the force generated by a light body.

In contrast to the insect, which is much smaller and lighter than a car, the car is much larger and weighs much more. In light of this, the massive car exerts a greater force than the tiny insect.

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The resultant acceleration of the object is 4.55 m/s².

The mass of the object is calculated by applying Newton's second law of motion as shown below.

F = ma

m = F / a

where;

m = (10, 000 N ) / (8.19 m/s²)

m = 1,221 kg

when the mass changes by a factor of 1.8, the new mass becomes;

m' = 1.8 x 1,221 kg

m' = 2,197.8 kg

The resultant acceleration becomes;

a = F / m

a = (10, 000 N ) / (2, 197.8 kg)

a = 4.55 m/s²

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The difference between a dental X-ray examination and the bright lights of the exam room lies in the type of radiation emitted. During a dental X-ray examination, the X-ray source emits ionizing radiation, which can be harmful if a person is exposed to it for too long.

This is why the person giving the X-ray examination will leave the room while the X-ray source is active. The bright lights of the exam room, on the other hand, emit non-ionizing radiation, which is not as harmful and can be safely exposed to without any special precautions.

The type of radiation emitted is an important factor when considering safety precautions. Ionizing radiation can be dangerous, so it is important to take the necessary steps to protect oneself from it. Non-ionizing radiation, on the other hand, is not as dangerous and can be safely exposed to without taking any special precautions. This is why the person giving the X-ray examination will leave the room while the X-ray source is active, but dental office workers do not take similar precautions against the bright lights of the exam room.

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The volume of the resting solid = 11,226 [tex]units^{3}[/tex]

Firstly, if we talk about the spherical volume,

The formula for the spherical volume will be ⇒ ν =  [tex]\frac{4\pi r^{3} }{3}[/tex]

⇒ 'r' represents the radius of the sphere,

According to the question, a ball of radius 14 is given and another hole of radius 4 is drilled into it,

Volume (ν1) of the ball of radius r = 14,

⇒ ν1 = [tex]\frac{4\pi 14^{3} }{3}[/tex] ⇒ [tex]\frac{34,482}{3}[/tex]

= 11,494

Volume (ν2) of the hole drilled into the ball with radius r = 4,

⇒ ν2 = [tex]\frac{4\pi 4^{3} }{3}[/tex] ⇒ [tex]\frac{804}{3}[/tex]

= 268

Hence, the volume of the resting solid will be the difference between the ball (ν1) and the hole (ν2) drilled inside it,

= ν1 - ν2

= 11,494 - 268

= 11,226 [tex]units^{3}[/tex]

Therefore, the volume of the resting solid is = 11,226 [tex]units^{3}[/tex]

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A ball of radius 14 has a round hole of radius 4 drilled through its center.

Find the volume of the resulting solid.

Is for Carnot engine to have an efficiency of 1, i.e.  100 %, either T2 (temperature of the sink) should be zero or T1 (temperature of the source) should be infinite.

There is no perfect source since it is impossible to achieve 100% efficiency because a portion of the heat from the source must be used to overcome resistance from the environment and other forces.

The efficiency of a steam generator cannot be 100% since it is impossible to reach absolute zero or infinite temperatures in real life.

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The angle the second snowball should be thrown to arrive at the same point as the first is determined as 35 degrees.

The range of projectile is the maximum horizontal displacement of the projectile along the horizontal direction.

Mathematically, the maximum range of a projectile is given as;

R = u² sin (2θ) / g

where;

When the angle of projection = 55⁰

R = (33.3² x sin (2 x 55) ) / (9.8)

R = 106.33 m

When the angle of projection = 90⁰ - 55⁰ = 35⁰

R = (33.3² x sin (2 x 35) ) / (9.8)

R = 106.33 m

Thus, when the second snowball is projected at an angle of 35⁰ it will attain the same horizontal displacement as the first snowball.

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Due to gravity  the period of a pendulum is Length of the cord. option C is the correct answer

The amount of time it takes the bob to complete one oscillation is known as the simple pendulum's time period.

The time period(T) of a simple pendulum is,

T = 2π√l/g

Time period :

Time depends on both the pendulum's effective length and the acceleration caused by gravity. The rope length and radius f bob are added to determine the effective length. The distance between the pendulum's point of suspension and the bob's center of gravity is its effective length. The length of the pendulum and, to a lesser extent, the amplitude have an impact on the basic pendulum's time period. That is the pendulum's swing's width. A pendulum's time span often refers to one whole cycle, or one full left swing and right swing.

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The wavelength of the electromagnetic waves with this frequency would be 12 cm.

The length over which a periodic wave repeats in space is known as its wavelength. It is a characteristic of all spatial wave patterns, including standing waves and moving waves. The distance between two adjacent crests, troughs, or zero crossings on the wave that correspond to successively in the same phase.

In other words, the wavelength is the distance, notably between electromagnetic or sound wave points, between the crests of a wave.

The relation between frequency and wavelength is given as

v . d = c

where

v =  frequency, d= wavelength, c = speed of light in vacuum

here in this case v = 2.48 ghz which is equal to

v = 2.48 ghz = [tex]2.48 * 10^{9}[/tex] hz. = [tex]2.48 * 10^{9}[/tex]  [tex]s^{-1}[/tex]

substituting the values in the relation

d = c / v

We get,

d = [tex]3* 10 ^{8}[/tex] / [tex]2.48 * 10^{9}[/tex] = 0.120 m = 12 cm

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According to Molecular Orbital Theory, the regions of the wave function with the highest probability of finding electrons are areas with Constructive Interference.

Molecular Orbital Theory: F. Hund and R. S. Mulliken created the Molecular Orbital Theory (commonly abbreviated as MOT) at the start of the 20th century as a theory on chemical bonding to explain the structure and characteristics of many molecules. The valence-bond theory was unable to satisfactorily explain how some compounds, such as the bonds in resonance-stabilized molecules, have two or more equivalent bonds whose bond orders lay between that of a single bond and that of a double bond. Here, the valence-bond theory was outperformed by the molecular orbital theory (since the orbitals described by the MOT reflect the geometries of the molecules to which it is applied).

The following is a list of the main components of the molecular orbital theory.

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The frequency of a wave is  20Hertz if its speed is 0.4m/sec and wavelength is 0.02meter.

For electromagnetic wave ,we know an expression

c=ν × λ

where c is the defined as the speed of wave  in any medium,

ν is  defined as the frequency of the wave and

λ is defined as the  wavelength of the wave.

Frequency is the amount of occasions of a reiterating event for each unit of time. It is similarly once in a while suggested as common repeat for clarity, and is undeniable from dashing repeat. Frequency is assessed in Hertz (Hz) which is comparable to one event each second. The period is the time span between events, so the period is the relating of the recurrence.

Now, according to given formula we get

=>0.4 = v×0.02

=>v=0.4/0.02

=>v=40/2sec

=>v=20/sec or

=>v=20Hertz.

Hence, frequency of a wave is 20Hertz.

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A 750 g aluminum pan is removed from the stove and plunged into a sink filled with 10 kg of water at 200c. The temperature quickly rises to 240c. 100 c the initial temperature of the pan.

The physical concept of temperature indicates in numerical form how hot or cold something is. Temperature is measured with a thermometer. Different temperature scales, which traditionally established various reference points and thermometric materials, are used to calibrate thermometers. The most widely used scales are the Kelvin scale (K), which is mostly used in science, the Fahrenheit scale (°F), and the Celsius scale, also referred to as centigrade and denoted by the unit symbol °C. The kelvin is one of the seven base units in the International System of Units (SI). On the thermodynamic temperature scale, absolute zero, also known as 0 kelvin, or 273.15 °C, is the lowest temperature. The third law of thermodynamics recognizes that it can only be very nearly attained experimentally and that it cannot actually be reached. It would be challenging for a body to produce heat at such temperature. Temperature is a crucial factor in all branches of natural science, including physics, chemistry, Earth science, astronomy, biology, ecology, material science, metallurgy, mechanical engineering, geography, and the majority of aspects of daily living. These fields cover the majority of the scientific disciplines, including biology, medicine, and ecology.

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A crane is lifting a 2000 kgload with a cable whose breaking strength is 22,000 n.  1.2 m/sec² is the maximum upward acceleration that the load can be given.

The motion of an item is related to the forces operating on it by Newton's equations of motion. According to the first law, until a force strikes on an item, it will not alter its motion. According to the second law, an object's force is determined by multiplying its mass by its acceleration. According to the third law, when two objects interact, they exert equal-sized and opposite-direction pressures upon one another.

Given that,

a crane is lifting a 2000 kg load

breaking strength is 22,000 N

According to Newton's law:

F - mg = ma

Now, acceleration, a = (F- mg)/m

or, a = [22,000 - (2000 × 9.8)] / 2000

or, a = 1.2 m/sec².

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Aluminum has the largest buoyant force on it.

The buoyant force is an upward force that an object will experience whether it is fully or partially submerged in a fluid. This upward thrust also goes by the name of upthrust. Because of the buoyant force, an object that is partially or completely submerged in a fluid seems to weigh less or to be lighter.

The fluid is pushing up on the submerged object with this force. Examples of buoyant force include a fish hovering in the middle of the ocean, a ship floating in the middle of the sea, and an anchor that sinks when dropped into the water.

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The maximum transverse acceleration of a point on a wire is closest to is 474100 m/s².

The wave function expression is given as :

y = A cos ( ωt + Ф)

A is the amplitude

ω is the angular frequency

Ф is the phase angle

the seconds derivative of wave function is the transverse acceleration :

a = d²y / dt²

a = - ω² A cos ( ωt + Ф)

the maximum  transverse acceleration is given as :

a_max =  ω² A

            = ( 2πf)² A

            = 4 π² f² A

             =  4 × ( 3.14)² (570 )² × 3.7

             = 474100 m/s²

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The tension in the 2.00-m string is 320 n, Mass of the wire is 30.9 grams

Frequency of the wave = ν = v/λ = 1/λ [tex]\sqrt{T/P}[/tex]

Where p = m/l

ν = 3/2l [tex]\sqrt{Tl/m}[/tex]

mass of the wire = gt /4l[tex]v^{2}[/tex] = 0.0309 kg

Hence mass of the wire m = 30.9 grams

Tension is defined as the pulling force transmitted axially by means of a string, rope, chain, or similar object, or by each end of a rod, truss member, or similar three-dimensional object; tension may alternatively be defined as the action-reaction pair of forces operating at each end of those elements. Compression's opposite, tension, might exist.

When molecules or atoms are forced apart at the atomic level and accumulate potential energy while a restoring force is still present, the restoring force may produce what is also known as tension. Under such stress, each end of a string or rod might pull on the thing to which it is linked, releasing the tension and allowing the string or rod to return to its relaxed length.

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The higher rotational kinetic energy they have the same kinetic energy.

What is rotational kinetic energy?

Rotational kinetic energy is the energy possessed by an object due to its rotational motion about an axis. It is equal to the work done by a torque on an object to rotate it from an initial angular position to its final angular position. The magnitude of the rotational kinetic energy is determined by the moment of inertia of the object, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation, and the angular velocity of the object. Rotational kinetic energy is also referred to as rotational energy, angular kinetic energy, and angular energy.

This is because the rotational kinetic energy of an object is determined by its mass and its angular speed, not its shape. Since the two spheres have the same mass and angular speed, they will both have the same rotational kinetic energy.

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The thinnest soap film that appears black when illuminated with light with a wavelength of 520 nm is about 195 nm.

A natural phenomenon known as "thin-film interference" occurs when light waves reflected by a thin film's upper and lower limits collide with one another, either enhancing or weakening the light that is reflected.

First, draw the diagram. From the diagram 1 is the first reflected ray and 2 is the second reflected ray. The red circle indicates the phase change. The first ray experience phase change but the second ray doesn't experience phase change.

Therefore, the thickness of the soap bubble is given by the thin-film interference formula,

[tex]\begin{aligned}2t& = m\lambda_{soap}\\t&=\frac{m\lambda_{soap}}{2}\\\lambda_{soap}&=\frac{2t}{m}\end{aligned}[/tex]

From Snell's law, we know that n₁λ₁=n₂λ₂, where λ is the wavelength and n is the index of refraction.

Then, for the soap film, [tex]n_{air}\lambda_{air}=n_{soap}\lambda_{soap}[/tex].

We know that n (air) is 1. From this,

[tex]\begin{aligned}\lambda_{soap}&=\frac{\lambda_{air}}{n_{soap}}\\\frac{2t}{m}&=\frac{\lambda_{air}}{n_{soap}}\\t&=\frac{m\lambda_{air}}{2n_{soap}}\end{aligned}[/tex]

Excluding the case of zero thickness, substitute m=1 for the first destructive interference.

Then, the smallest thickness is,

[tex]\begin{aligned}t&=\frac{\lambda_{air}}{2n_{soap}}\\&=\frac{520}{2\times1.33}\\&=\mathrm{195\;nm}\end{aligned}[/tex]

The answer is 195 nm.

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C. The sunken lead displaces a volume of water whose weight equals the lead's weight.

How are masses determined?

Scales and balances Digital science balances & beam balances, like a triple beam balance, are examples of several sorts of balances.The metric system uses either grams and kilograms as standard unit of measure of mass.To determine mass at home, you normally use a contemporary digital or spring scale.

A amount much matter inside a particle or object is represented by the dimensionless quantity mass (symbolized m).The kilogram is the International System's (SI) preferred unit of mass (kg).

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The circuit having a parallel combination of resistance will have more current and series combination have less current.

In today's high-tech world, electrical engineers are faced with the design and analysis of an ever-increasing variety of circuits and systems. However, all of these systems are based on his DC circuit behavior at a basic level. In fact, the ability to analyze and simplify such circuits is critical to understanding and designing more complex circuits.

In addition, measurement of DC circuit quantity i. H. Voltage, current, resistance, the most basic and basic measurements an electrician can perform. In this experiment, students learn the use and limitations of modern digital multimeters and experimentally verify the validity of Thevenin's Theorem, his of key concepts in circuit theory.

It is often desirable to measure electricity without using an electricity meter. This situation is most common when examining current waveforms on the oscilloscope. The problem that arises here is that the oscilloscope cannot measure the current directly (this will become apparent in further experiments), so we have to devise a way to measure the current indirectly.

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The applied force MUST ALWAYS be higher than the frictional force in order for the object to begin moving or accelerate. The initial acceleration increases as the disparity grows. (Keep in mind that the square of a motion's resistance is its speed. Because of this, the top speed restriction for cars is set.

Some of the responses are incorrect because they don't comprehend what the term "force" means in the formula "Force = Mass x Acceleration." The force necessary to balance the resistance while at rest or while moving is NOT this force. To move the object, further force is required. Call the frictional force, which opposes this initial extra force, P, and changes with motion, F.

P will keep accelerating the object until the increase in friction stops it from moving at all. That does not imply that the object is not being subjected to additional force. The value of F has grown, but it is still present, and the object is moving with a steady speed.

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Adding more insulation to a home's attic is a simple approach to save heating bills. Consider that the attic and all outside surfaces of the home already have 15 cm of fiberglass insulation. The cost of heating would drop by 12%.

Don't make as many car excursions as you normally would. Cut back on, or stop using, wood stoves and fireplaces. Be careful not to burn rubbish, leaves, or other items. Use electric lawn and garden tools instead of gas-powered ones.

Touching fiberglass shouldn't have an adverse long-term health consequence. As a result of fiberglass exposure, eyes may become red and itchy. Inflammation of the throat and nose.

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When I view a distant rainbow, each single water drop contributes to the bow d)All of the above cases. So, correct option is d.

A rainbow is a meteorological peculiarity that is brought about by reflection, refraction and scattering of light in water beads bringing about a range of light showing up overhead. It appears as a kaleidoscopic round bend. Rainbows brought about by daylight generally show up in the part of sky straightforwardly inverse the Sun.

Rainbows can be round trips. In any case, the spectator ordinarily sees just a curve shaped by enlightened drops over the ground,[1] and fixated on a line from the Sun to the spectator's eye.

Inside the essential rainbow, the curve actually shows red on the external part and violet on the inward side. This rainbow is brought about by light being refracted while entering a bead of water, then pondered inside the rear of the drop and refracted again while leaving it.

Hence, correct option is d.

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(Complete question) is:

When you view a distant rainbow, each single water drop contributes to the bow

A. a single color

B. either low, middle, or high-frequency colors in most cases

C. all the colors of the rainbow

D.all of the above cases

The planet's mass is 2.19 * 10 24 kg when a spacecraft orbits it at a distance of 5.82107 from its Centre. Its orbital period is 52 hours. Kepler's principles of planetary motion roughly predict that planets

Ordinarily, the term "orbit" refers to a trajectory that repeats itself periodically, though it can also apply to a non-repeating trajectory. Kepler's principles of planetary motion roughly predict that planets and satellites have elliptic orbits, with the Centre of mass orbiting at a focal point of the ellipse [2]. The measurement of distance between two objects or points can be quantitative or occasionally qualitative.

time = 2pi x R/v v=1677 m/s F=mv2/R= GMm/R2 M= mass of planet = 2.19 * 10 24 kg.

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When a rope with mass m and length 'hangs from the ceiling, the wave speed on the rope is V = (gy)1/2 and 2(L/g)1/2, which is the speed of the wave to go up the rope.

Wave speed is a property of waves that can refer to the absolute value of the phase velocity, the speed at which a wave phase propagates at a particular frequency group velocity, the propagation velocity for the envelope of wave groups, and frequently the velocity of wave energy, which is different from the phase velocity for dispersive waves. When the string is yy distance from the bottom, the tension there is mg, where m is the mass of the component below y. Mass per unit length is what is meant by linear density.

V =(gy)^1/2

2(L/g)^1/2 is the speed of the a wave to travel up the rope.

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Electromagnetic radiation is a sort of energy emission. This has two components, electrical and magnetic components, as is clear from the name. The radiation is hence known as electromagnetic radiation. In Fig. 1.1, it is depicted. From a very low frequency of 3 Hz to a very high frequency of 300 EHz (1 EHz = 1018 Hz), this radiation has a wide frequency range. Table 1.1 lists the metric prefixes along with their symbols.

The magnetic and electric vectors are perpendicular to one another and to the path of propagation. In Fig. 1, this is depicted. 1. Depending on the frequency, this electromagnetic spectrum is separated into different section

 Wavelength and Frequency Relationship

Wavelength

According , a wavelength is the separation between two crests or troughs. It is described in the "electronic spectrum" in terms of nm. 1 nm = 10−9 m. Radiation's energy and wavelength are inversely related. In other words, energy increases when the wavelength lowers and decreases when the wavelength grows.

In the IR spectrum, wavenumber, which has the SI value of cm1, is used in place of or v.

 The relationship between frequency and wavelength

where is the wavenumber, is the wavelength, c is the speed of light, and is the frequency of the radiation.

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The temperature required is  29315.6457C to maintain on 0.5 moles of the oxygen gas in order to maintain the given pressure.

We have pressure, volume, moles it means we can easily apply the ideal-gas equation which is given by the formula

=>P×V=n×R×T

where P is defined as the pressure,

V is defined as the volume of the gas

n is defined as the number of moles of the gas

R is defined as gas constant

and T is defined as the temperature of the gas.

Now,we have P=123kpa=123000pa,

V=10L,n=0.5,R=8.314m³Pa/K,T=?

So, on putting the values in above formula,we get

=>123000×10=0.5×8.314×T

=>T=(1230000) / 41.570

=>T=29588.6457K

But we got the temperature in kelvin and we need to report in Celsius,so we know that

=>K=C+273

=>29588.6457K=C+273

=>C=29588.6457-273

=>C=29315.6457C

Hence, required temperature is 29315.6457C

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The change in volume when it is taken to depth is -0.053m³.

Given in the question,

Pressure at depth of 11 km = 1.13 × 10⁸ N/m²

The volume of seawater V = 1 m³

Pressure at the surface of seawater = 1.01 × 10⁵ N/m²

ΔP = 1.13×10⁸ - 1.01 × 10⁵ N/m²

Bulk modulus, B = -V dP/dV = -V(ΔP/ΔV)

B = -V (1.13 × 10⁸ - 1.01 × 10⁵)/ΔV N/m²

2.1 × 10⁹ N/m² = -1 (1.13 × 18⁸ - 1.01 × 10⁵) N/m² / ΔV

ΔV = (-1) (1.13 × 10⁸ - 1.01 × 10⁵)/2.1×10⁹ = -0.053m³

Therefore, the change in volume when it is taken to depth is -0.053m³.

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Complete question:

The deepest point in the ocean is in the Mariana Trench, about 11 km deep, about 1.13 × 10³ N/m². Calculate the change in volume of 1.00m² of seawater carried from the surface to this deepest point.

Mindfulness is the basic human ability to be fully present, aware of where we are and what we’re doing, and not overly reactive or overwhelmed by what’s going on around us.

When we meditate it doesn’t help to fixate on the benefits, but rather to just do the practice, and yet there are benefits or no one would do it.

When we’re mindful, we reduce stress, enhance performance, gain insight and awareness through observing our own mind, and increase our attention to others’ well-being.

Mindfulness meditation gives us a time in our lives when we can suspend judgment and unleash our natural curiosity about the workings of the mind, approaching our experience with warmth and kindness—to ourselves and others.

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Answer:

Ways to suspect mindfulness is eating healthy and yoga.

Explanation:

This is because eating healthy can make you increase stamina and happiness. On the other hand, Yoga improves strength, balance and flexibility.