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notsponge [240]
3 years ago
10

A ray of laser light travels through air and enters an unknown material. The laser enters the material at an angle of 36 degrees

to the normal. The refracted angle is 27.5 degrees. If the index of refraction of air is n = 1.00, what is the index of refraction of the unknown material?
Physics
1 answer:
V125BC [204]3 years ago
3 0

Answer:1.27

Explanation:

Given

incident angle i=36^{\circ}

refracted angle r=27.5^{\circ}

Suppose n_2 is the refractive index of material then using Snell's law we  can write

n_1\sin i=n_2\sin r

where n_1=refractive index of air

1\times \sin (36)=n_2\times \sin (27.5)

n_2=\dfrac{0.5877}{0.4617}

n_2=1.27

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The catcher can catch the ball at a height of 0.96 m from the ground.

The distance between the pitcher's mound and the catcher's box is about 60'6", which translates to 18.44 m. An average pitcher can pitch with speeds ranging from 88 mph to 97 mph, which is from 39.3 m/s to 43.4 m/s.

Assume the pitcher pitches a ball horizontally with a speed of 40 m/s. If the catcher catches the ball in a time t, then the ball travels a horizontal distance x of 18.44 m and at the same time falls through a height y.

The horizontal motion of the ball is uniform motion since no force acts on the ball ( assuming no air resistance) and hence the acceleration of the ball along the horizontal direction is zero.

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x=ut

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The ball is acted upon by the earth's gravitational attraction and hence it accelerates downwards with an acceleration equal to the acceleration due to gravity g.

Since a horizontal projection is assumed, the ball has no component of velocity in the downward direction.

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The pitcher releases the ball at a height of 1.8 m from a mound which is at a height of 0.2 m. Thus, the ball is released at a height of 2.0 m from the ground. It falls through a distance of 1.04 m in the time it takes to reach the catcher.

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3 years ago
A stuntwoman is going to attempt a jump across a canyon that is 77 m wide. The ramp on the far side of the canyon is 25 m lower
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Answer:

  She will make the jump.

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First we will consider horizontal motion of stunt women

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Substituting

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