a. How long (in ns) does it take light to travel 1.0 m in a vacuum?
b. What distance does light travel in water, glass, and diamond during the time that it travels 1.0 m in a vacuum?

Respuesta :

Answer:

a) 3.33 ns

b) Water distance = 0.75 m

Glass distance = 0.66 m

Diamond distance = 0.41 m

Explanation:

We take the speed of light, c = m/s.

Speed = distance/time

Time = distance/speed

a)

[tex]t=\dfrac{1}{3.0\times10^{8}}=3.33\times10^{-9}[/tex]

t = 3.33 ns

b)

Refractive index, n = speed of light in vacuum / speed of light in medium

[tex]n=\dfrac{c}{s}[/tex]

[tex]s=\dfrac{c}{n}[/tex]

[tex]d=s\times t[/tex]

[tex]d=\dfrac{c}{n}\times \dfrac{1}{c}[/tex]

[tex]d=\dfrac{1}{n}[/tex]

Thus, the distance traveled in the same time is numerically equal to the reciprocal of the refractive index.

For water n = 1.333

d = 1/1.333 = 0.75 m

For glass n = 1.517

d = 0.66 m

For diamond n = 2.417

d = 0.41 m

It take light 3.33 ns to travel 1.0 m in a vacuum.

The distance light travels in

  • Water = 0.75 m
  • Glass = 0.66 m
  • Diamond = 0.41 m.

What is a Vacuum?

This is defined as a space which lacks matter.

of light, c = m/s.

Speed = distance/time

Time = distance/speed

T = 1/3× 10⁸ = 3.33ns

Refractive index = speed of light in vacuum / speed of light in medium

n =  c/s

s = c/n

d = st

  = c/n ˣ 1/c = 1/n

Distance = 1/ refractive index

Water = 1/1.333 = 0.75m

Glass =  1/1.517 = 0.66m

Diamond = 1/2.417 = 0.41m.

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