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GRE Subject Test: Physics : Fundamental Properties

Study concepts, example questions & explanations for GRE Subject Test: Physics

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Example Questions

Example Question #1 : Electromagnetics, Waves, And Optics

A particle traveling through glass (index of refraction 1.33) emits Cherenkov radiation. Which of the following is a possible speed of the particle?

Possible Answers:

$\frac{5}{8}c$ $\displaystyle \frac{5}{8}c$

$\frac{3}{8}c$ $\displaystyle \frac{3}{8}c$

$\frac{9}{8}c$ $\displaystyle \frac{9}{8}c$

$\frac{1}{8}c$ $\displaystyle \frac{1}{8}c$

$\frac{7}{8}c$ $\displaystyle \frac{7}{8}c$

Correct answer:

$\frac{7}{8}c$ $\displaystyle \frac{7}{8}c$

Explanation:

Cherenkov radiation is emitted by a particle traveling faster than the phase velocity of light in that medium. Because $n=\frac{4}{3}$ $\displaystyle n=\frac{4}{3}$, the phase velocity of light in the glass is:

$v_p=\frac{c}{n}=\frac{3}{4}c$ $\displaystyle v_p=\frac{c}{n}=\frac{3}{4}c$

This is the minimum velocity of a particle to be emitting Cherenkov radiation in glass. This eliminates all answers except $\frac{7}{8}c$ $\displaystyle \frac{7}{8}c$ and $\frac{9}{8}c$ $\displaystyle \frac{9}{8}c$. The latter is impossible because it is greater than the speed of light in a vacuum, therefore the answer is $\frac{7}{8}c$ $\displaystyle \frac{7}{8}c$.

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Example Question #2 : Electromagnetics, Waves, And Optics

A monochromatic beam of $600\textup{ nm}$ $\displaystyle 600\textup{ nm}$ light travels through a material with a phase velocity of $2*10^8\ \frac{\textup{m}}{\textup{s}}$ $\displaystyle 2*10^8\ \frac{\textup{m}}{\textup{s}}$. What is the refractive index of the material?

Possible Answers:

1.33 $\displaystyle 1.33$

0.67 $\displaystyle 0.67$

2.4 $\displaystyle 2.4$

1.7 $\displaystyle 1.7$

1.5 $\displaystyle 1.5$

Correct answer:

1.5 $\displaystyle 1.5$

Explanation:

The phase velocity of light through a medium with refractive index $\displaystyle n$ is given by:

$v_p=\frac{c}{n}$ $\displaystyle v_p=\frac{c}{n}$

Solving this for $\displaystyle n$ and substituting our given value of v_p $\displaystyle v_p$_:

$n=\frac{c}{v_p}=\frac{3\times10^8}{2\times10^8}=1.5$ $\displaystyle n=\frac{c}{v_p}=\frac{3\times10^8}{2\times10^8}=1.5$

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GRE Subject Test: Physics : Fundamental Properties

Study concepts, example questions & explanations for GRE Subject Test: Physics

All GRE Subject Test: Physics Resources

Example Questions

Example Question #1 : Electromagnetics, Waves, And Optics

Example Question #2 : Electromagnetics, Waves, And Optics

All GRE Subject Test: Physics Resources

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