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Transverse & Longitudinal Waves — Numerical  Quiz

Thu Dec 4, 2025



Transverse & Longitudinal Waves — MCQ Quiz

Transverse & Longitudinal Waves — Numerical MCQ Quiz

10 multiple-choice numerical questions. Select the best option and click Submit. Click Show Answers to reveal correct answers and explanations.

1. A wave on a string has a frequency of 5 Hz and wavelength of 2 m. What is the speed of the wave?

Solution: v = fλ = 5 × 2 = 10 m/s.

2. A sound wave travels with a speed of 330 m/s. If its wavelength is 1.1 m, what is the frequency?

Solution: f = v/λ = 330/1.1 = 300 Hz.

3. A longitudinal wave has a frequency of 200 Hz. If the particles are 0.5 m apart in consecutive compressions, what is the wavelength?

Compression-to-compression distance = wavelength = 0.5 m.

4. A wave has a speed of 15 m/s and wavelength of 3 m. What is its period?

f = v/λ = 15/3 = 5 Hz → T = 1/f = 0.2 s.

5. A sound wave has a frequency of 660 Hz. If its speed in air is 330 m/s, what is its wavelength?

λ = v/f = 330/660 = 0.5 m.

6. A wave completes 40 vibrations in 5 seconds. What is the frequency?

f = n/t = 40/5 = 8 Hz.

7. The speed of a transverse wave on a rope is 20 m/s. If the frequency is 4 Hz, find the wavelength.

λ = v/f = 20/4 = 5 m.

8. A sound wave travels 660 m in 2 seconds. What is its speed?

v = d/t = 660/2 = 330 m/s.

9. A tuning fork of frequency 256 Hz produces a sound wave with wavelength 1.3 m. Find the speed.

v = fλ = 256 × 1.3 = 332.8 m/s (≈ 333 m/s).

10. A wave has a period of 0.02 s. What is its frequency?

f = 1/T = 1/0.02 = 50 Hz.

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