NEET Physics: Waves — Practice Set 1

Q1. A string of length 2 m fixed at both ends has a wave speed of 60 m/s. What is the frequency of its third harmonic?

A. 30 Hz
B. 60 Hz
C. 45 Hz
D. 90 Hz

Q2. Two waves of frequencies 450 Hz and 456 Hz produce beats. How many beats are heard in 5 seconds?

A. 24
B. 28
C. 32
D. 30

Q3. A string of length 2.4 m and mass 0.048 kg is under a tension of 300 N. What is the speed of a transverse wave on the string?

A. 110 m/s
B. 120 m/s
C. 122.5 m/s
D. 130 m/s

Q4. A pipe closed at one end resonates at 275 Hz with a speed of sound of 330 m/s. What is its length?

A. 0.25 m
B. 0.35 m
C. 0.4 m
D. 0.3 m

Q5. A stationary wave is given by \( y = 0.03 \sin (\frac{\pi x}{6}) \cos (80\pi t) \), where \( x \) and \( y \) are in meters and \( t \) in seconds. What is the distance between two consecutive nodes?

A. 4 m
B. 6 m
C. 8 m
D. 12 m

Q6. A steel rod of length 1.2 m has a fundamental frequency of longitudinal vibrations of 2.5 kHz. What is the speed of sound in the rod?

A. 5500 m/s
B. 5800 m/s
C. 6000 m/s
D. 6200 m/s

Q7. Two waves \( y_1 = 6 \sin (4x - 12t) \) and \( y_2 = 6 \sin (4x - 12t + \pi) \) interfere. What is the amplitude of the resultant wave?

A. 12 m
B. 0 m
C. 6 m
D. 3 m

Q8. A string of length 2.4 m fixed at both ends has a wave speed of 96 m/s. What is the frequency difference between its third and first harmonics?

A. 30 Hz
B. 35 Hz
C. 40 Hz
D. 45 Hz

Q9. A wave \( y = 0.08 \sin (10x - 30t) \) reflects at a rigid boundary. What is the equation of the reflected wave?

A. \( y = 0.08 \sin (10x + 30t) \)
B. \( y = -0.08 \sin (10x - 30t) \)
C. \( y = -0.08 \sin (10x + 30t) \)
D. \( y = 0.08 \sin (10x - 30t) \)

Q10. A wave is described by \( y(x, t) = 0.04 \sin (20x - 50t) \), where \( x \) and \( y \) are in meters and \( t \) in seconds. What is the wavelength of the wave?

A. 0.2 m
B. 0.25 m
C. 0.3 m
D. 0.314 m

Q11. A string of length 3.6 m and mass 0.09 kg is under a tension of 160 N. What is the speed of a transverse wave on the string?

A. 70 m/s
B. 80 m/s
C. 90 m/s
D. 100 m/s

Q12. What is the key requirement for a wave to be classified as a progressive wave?

A. Fixed amplitude
B. Constant frequency
C. Standing pattern
D. Energy transfer

Q13. What is the nature of the wave produced by a vibrating tuning fork in air?

A. Longitudinal
B. Transverse
C. Electromagnetic
D. Stationary

Q14. A string fixed at both ends has a length of 2 m and a wave speed of 60 m/s. What is the frequency of its first harmonic?

A. 15 Hz
B. 20 Hz
C. 25 Hz
D. 30 Hz

Q15. A steel rod of length 1.8 m has a fundamental frequency of longitudinal vibrations of 1.5 kHz. What is the speed of sound in the rod?

A. 5000 m/s
B. 5200 m/s
C. 5400 m/s
D. 5600 m/s

Physics — Waves

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