NEET Waves — Set 12

Question 1

A wave on a string has an amplitude of 0.025 m and a frequency of 50 Hz. What is the maximum transverse speed of a particle?

Accepted Answer

$ \omega = 2\pi v = 2\pi \times 50 = 100\pi \, \text{rad/s} $. Max speed: $ v_{\text{max}} = a \omega = 0.025 \times 100\pi \approx 7.85 \, \text{m/s} $.

Question 2

In a pipe closed at one end, which harmonics are absent compared to a pipe open at both ends?

Accepted Answer

A pipe closed at one end has frequencies $ v_n = (2n - 1) \frac{v}{4L} $, producing only odd harmonics (1, 3, 5, ...). A pipe open at both ends has all harmonics (1, 2, 3, ...), so even harmonics are absent in the closed pipe.

Question 3

A transverse wave travels on a string with tension 400 N and linear mass density 0.1 kg/m. What is the speed of the wave?

Accepted Answer

Speed: $ v = \sqrt{\frac{T}{\mu}} = \sqrt{\frac{400}{0.1}} = \sqrt{4000} \approx 63.25 \, \text{m/s} $.

NEET Physics: Waves — Practice Set 12

Q1. A wave on a string has an amplitude of 0.025 m and a frequency of 50 Hz. What is the maximum transverse speed of a particle?

Q2. In a pipe closed at one end, which harmonics are absent compared to a pipe open at both ends?

Q3. A transverse wave travels on a string with tension 400 N and linear mass density 0.1 kg/m. What is the speed of the wave?

Q4. A pipe closed at one end has a length of 0.32 m and resonates at its fundamental frequency with a speed of sound of 320 m/s. What is the frequency?

Q5. Which phenomenon explains the periodic waxing and waning of sound intensity when two sound waves of slightly different frequencies interfere?

Q6. Two strings produce beats of 4 Hz. If one has a frequency of 256 Hz and the tension in the other is increased, the beat frequency increases to 6 Hz. What was the original frequency of the second string?

Q7. What happens to a transverse wave when it reflects off a fixed end of a string?

Q8. A transverse wave on a string has a speed of 25 m/s and a frequency of 20 Hz. What is its wavelength?

Q9. Why does a standing wave in a pipe closed at one end produce only odd harmonics?

Q10. A transverse wave on a string has a tension of 120 N and a linear mass density of 0.015 kg/m. What is the wavelength if the frequency is 50 Hz?