Question

what is the speed of light in lucite (n = 1.50)?
express your answer to three significant figures and include the appropriate units.

v =
value
units
submit request answer

part c

what is the speed of light in crown glass (n = 1.52)?
express your answer to three significant figures and include the appropriate units.

v =
value
units

Explanation:

Step1: Recall the formula for speed of light in a medium

The speed of light \( v \) in a medium with refractive index \( n \) is given by \( v=\frac{c}{n} \), where \( c = 3.00\times10^{8}\space m/s \) (speed of light in vacuum).

For Lucite (\( n = 1.50 \)):

Step2: Substitute values into the formula

Substitute \( c = 3.00\times10^{8}\space m/s \) and \( n = 1.50 \) into \( v=\frac{c}{n} \).
\( v=\frac{3.00\times 10^{8}\space m/s}{1.50} \)
Calculate the value: \( \frac{3.00\times 10^{8}}{1.50}=2.00\times 10^{8}\space m/s \)

For Crown Glass (\( n = 1.52 \)):

Step3: Substitute values into the formula

Substitute \( c = 3.00\times10^{8}\space m/s \) and \( n = 1.52 \) into \( v=\frac{c}{n} \).
\( v=\frac{3.00\times 10^{8}\space m/s}{1.52} \)
Calculate the value: \( \frac{3.00\times 10^{8}}{1.52}\approx1.97\times 10^{8}\space m/s \) (rounded to three significant figures)

Answer:

• Speed of light in Lucite: \( 2.00\times 10^{8}\space m/s \)
• Speed of light in crown glass: \( 1.97\times 10^{8}\space m/s \)