Q: A radio station broadcasts at a frequency of $$100\ \text{MHz}$$ ($$1\ \text{MHz} = 10^6$\ \text{Hz}). $$What is the period of the radio wave?

$$1 \times 10$$^{-8}$$\ \text{s}$$

Question 1

A simple pendulum is constructed using a 1.5-meter-long string and a 0.5 kg mass. If the mass is replaced with a 2 kg mass, what happens to the period of the pendulum?

Accepted Answer

The period remains the same.

Question 2

Which of the following best describes the difference between a vibration and a wave?

Accepted Answer

A vibration is a periodic wiggle in time, while a wave is a periodic wiggle in both space and time.

Question 3

A sound wave has a frequency of 250 Hz. What is the period of vibration of the air molecules?

Accepted Answer

$$0.004\ 	ext{s}$$

Question 4

A wave traveling in water has a wavelength of $$5\ 	ext{m}$$ and a frequency of $$3\ 	ext{Hz}. $$What is the speed of the wave?

Accepted Answer

$$15\ 	ext{m/s}$$

Question 5

Which of the following is NOT a characteristic of a transverse wave?

Accepted Answer

The medium vibrates parallel to the direction of energy transfer.

Question 6

The wavelength of a longitudinal wave is the distance between:

Accepted Answer

Both successive compressions and successive rarefactions.

Question 7

A radio station broadcasts at a frequency of $$100\ 	ext{MHz}$$ ($$1\ 	ext{MHz} = 10^6$\ 	ext{Hz}). $$What is the period of the radio wave?

Accepted Answer

$$1 	imes 10$$^{-8}$$\ 	ext{s}$$

Question 8

Which of the following statements about the Doppler Effect is correct?

Accepted Answer

It describes a change in wave frequency due to relative motion between source and observer.

Question 9

A supersonic jet flies faster than the speed of sound. What is the shape of the overlapping waves it produces called?

Accepted Answer

Bow wave

Question 10

Which of the following best describes constructive interference?

Accepted Answer

When the crest of one wave overlaps the crest of another, increasing amplitude.

Question 11

A standing wave is formed on a string fixed at both ends. What is true about the nodes and antinodes?

Accepted Answer

Nodes are points of zero displacement, and antinodes are points of maximum displacement.

Question 12

A wave has a period of $$0.25\ 	ext{s}. $$What is its frequency?

Accepted Answer

$$4\ 	ext{Hz}$$

Question 13

Which of the following is a real-world example of a longitudinal wave?

Accepted Answer

Sound waves in air

Question 14

A bug swims across a pond at the same speed as the waves it creates. What phenomenon does this illustrate?

Accepted Answer

Wave barrier

Question 15

If you shake a rope with three times the frequency, compared to the fundamental frequency, how does the wavelength of the standing wave change?

Accepted Answer

It becomes one-third as long.

Question 16

Which of the following is true about wave motion?

Accepted Answer

Waves transport energy, not matter.

Question 17

A sonic boom is heard when:

Accepted Answer

An object travels faster than the speed of sound, creating overlapping shock waves.

Question 18

Which of the following is an example of a standing wave in a real-world scenario?

Accepted Answer

Sound waves in a trumpet

Question 19

If the frequency of a wave is doubled while its speed remains constant, what happens to its wavelength?

Accepted Answer

It is halved.

Question 20

Which of the following best describes a red shift in the Doppler effect for light?

Accepted Answer

A decrease in light frequency toward the red end of the spectrum.

Vibrations and Waves: Physics with Calculus Study Guide

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