Waves

A guitar string resonates at a fundamental frequency of 300 Hz. Which of the following frequencies can set the string into resonance?

• A. 30 Hz

• B. 100 Hz

• C. 400 Hz

• D. 500 Hz

• E. 600 Hz

The linear density of a string decreases by 1/4 when it is stretched. What happens to the speed of a wave on the string?

• A) It decreases to ¼.

• B) It decreases to ½.

• C) It remains the same.

• D) It doubles.

• E) It quadruples.

The frequency of a wave increases. What happens to the distance between successive crests if the speed remains constant?

• A) It increases.

• B) It remains the same.

• C) It decreases.

• D) It doubles.

• E) It cannot be determined from the information given.

The length, L, of the string is 6 m and the string oscillates at a frequency at which a standing wave is produced. What is the wavelength of the wave in the string?

• A) 6m

• B) 3m

• C) 2m

• D) 4m

• E) 2.4m

A stretched string of length 8 m vibrates at a frequency of 50 Hz producing a standing wave pattern with 4 loops. What is the speed of wave?

• A. 50 𝑚/𝑠

• B. 100 𝑚/𝑠

• C. 150 𝑚/𝑠

• D. 200 𝑚/𝑠

• E. 250 𝑚/s

4. What is the amplitude of oscillations?

• A) 1 m

• B) 2 m

• C) 3 m

• D) 0.04 m

• E) 4 m

What is the frequency of a wave traveling with a speed of 1.6 m/s and the wavelength is 0.50 m?

• 0.8 Hz

• .33 Hz

• 1.6 Hz

• 3.2 Hz

A wave pulse travels a long a thick part of a horizontal cord and reaches another part of the cord that is much thinner and lighter. Which of the following is true about the reflected and transmitted pulse by the boundary in the cord?

• A) Reflected: Upright Transmitted: Upright

• B) Reflected: Inverted Transmitted: Inverted

• C) Reflected: Upright Transmitted: Inverted

• D) Reflected: Inverted Upright

Two wave pulses one with positive amplitude the other with equal negative amplitude travel on a cord approaching each other. What is the result of the oscillations when the pulses reach the same point?

• A) It is constructive interference with twice the amplitude

• B) It is destructive interference with zero amplitude

• C) It is constructive interference with slightly greater amplitude

• D) It is constructive interference with the negative amplitude

• E) The standing wave is produced

A guitar string resonates at a frequency of 500 Hz forming a standing wave pattern with 5 loops. What is the fundamental frequency?

• A) 100 m

• B) 200 m

• C) 300 m

• D) 400 m

• E) 500 m