NEET Physics: Waves — Practice Set 4

Q1. A wave \( y = 0.06 \sin (18x - 54t) \) reflects at an open boundary. What is the equation of the reflected wave?

A. \( y = -0.06 \sin (18x + 54t) \)
B. \( y = 0.06 \sin (18x - 54t) \)
C. \( y = 0.06 \sin (18x + 54t) \)
D. \( y = -0.06 \sin (18x - 54t) \)

Q2. A string fixed at both ends has a length of 1.6 m and a wave speed of 80 m/s. What is the frequency of its first harmonic?

A. 25 Hz
B. 20 Hz
C. 30 Hz
D. 35 Hz

Q3. What causes the intensity of a sound wave to decrease as it travels through a medium?

A. Increase in frequency
B. Decrease in speed
C. Energy dissipation
D. Phase change

Q4. What is the relationship between the wavelengths of the fundamental mode and the second harmonic in a string fixed at both ends?

A. They are equal
B. Second harmonic is half the fundamental
C. Second harmonic is double the fundamental
D. No fixed relationship

Q5. The bulk modulus of water is 2.2 × 10⁹ Pa and its density is 1000 kg/m³. What is the speed of sound in water?

A. 1400 m/s
B. 1480 m/s
C. 1500 m/s
D. 1600 m/s

Q6. A string of mass 0.06 kg and length 3 m is under a tension of 150 N. How long does it take a transverse pulse to travel its length?

A. 0.02 s
B. 0.03 s
C. 0.035 s
D. 0.04 s

Q7. A string of length 3.2 m and mass 0.064 kg has a fundamental frequency of 25 Hz. What is the tension in the string?

A. 500 N
B. 510 N
C. 520 N
D. 512 N

Q8. A wave is described by \( y(x, t) = 0.03 \sin (35x - 70t) \), where \( x \) and \( y \) are in meters and \( t \) in seconds. What is the speed of the wave?

A. 1.5 m/s
B. 2 m/s
C. 2.5 m/s
D. 3 m/s

Q9. A pipe open at both ends has a length of 0.6 m and resonates with a source of frequency 850 Hz. What is the harmonic number if the speed of sound is 340 m/s?

A. 2
B. 4
C. 5
D. 3

Q10. A copper rod has a density of 8900 kg/m³ and a longitudinal wave speed of 3560 m/s. What is its Young’s modulus?

A. 1.0 × 10¹¹ Pa
B. 1.2 × 10¹¹ Pa
C. 1.3 × 10¹¹ Pa
D. 1.13 × 10¹¹ Pa

Q11. Which condition must be satisfied for two waves to form a standing wave pattern?

A. Travel in opposite directions
B. Have different frequencies
C. Travel in the same direction
D. Have different amplitudes

Q12. Two waves \( y_1 = 5 \sin (6x - 12t) \) and \( y_2 = 5 \sin (6x - 12t + \frac{\pi}{3}) \) interfere. What is the amplitude of the resultant wave?

A. 5 m
B. 10 m
C. 8.7 m
D. 7.5 m

Q13. A transverse wave on a string has a speed of 15 m/s and a period of 0.05 s. What is its wavelength?

A. 0.5 m
B. 0.75 m
C. 1 m
D. 1.25 m

Q14. In a transverse wave traveling along a stretched string, which property of the medium primarily determines the speed of the wave?

A. Tension
B. Density
C. Elasticity
D. Viscosity

Q15. What is the condition for maximum constructive interference between two waves?

A. Phase difference of \( \pi \)
B. Phase difference of \( \pi/2 \)
C. Different frequencies
D. Phase difference of zero

Physics — Waves

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A wave \( y = 0.06 \sin (18x - 54t) \) reflects at an open boundary. What is the equation of the reflected wave?

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