NEET Physics: Waves — Practice Set 6

Q1. In a standing wave, what is the relationship between the wavelength and the distance between consecutive antinodes?

A. Equal to the wavelength
B. Twice the wavelength
C. Half the wavelength
D. Quarter the wavelength

Q2. A wave \( y = 0.03 \sin (15x - 45t) \) reflects at an open boundary. What is the equation of the reflected wave?

A. \( y = -0.03 \sin (15x + 45t) \)
B. \( y = 0.03 \sin (15x - 45t) \)
C. \( y = 0.03 \sin (15x + 45t) \)
D. \( y = -0.03 \sin (15x - 45t) \)

Q3. A wave \( y = 0.05 \sin (12x - 36t) \) reflects at a rigid boundary. What is the equation of the reflected wave?

A. \( y = 0.05 \sin (12x + 36t) \)
B. \( y = -0.05 \sin (12x - 36t) \)
C. \( y = -0.05 \sin (12x + 36t) \)
D. \( y = 0.05 \sin (12x - 36t) \)

Q4. A pipe closed at one end has a length of 0.42 m and a speed of sound of 336 m/s. What is the frequency of its second harmonic?

A. 400 Hz
B. 500 Hz
C. 600 Hz
D. 700 Hz

Q5. A stationary wave is given by \( y = 0.07 \sin (\frac{\pi x}{5}) \cos (90\pi t) \), where \( x \) and \( y \) are in meters and \( t \) in seconds. What is the distance between two consecutive nodes?

A. 2.5 m
B. 4 m
C. 5 m
D. 6 m

Q6. A wave \( y = 0.02 \sin (40x - 120t) \) reflects at an open boundary. What is the equation of the reflected wave?

A. \( y = -0.02 \sin (40x + 120t) \)
B. \( y = 0.02 \sin (40x - 120t) \)
C. \( y = 0.02 \sin (40x + 120t) \)
D. \( y = -0.02 \sin (40x - 120t) \)

Q7. Why is the speed of sound higher in solids than in liquids?

A. Lower density
B. Higher viscosity
C. Lower pressure
D. Greater elastic modulus

Q8. Two waves of frequencies 512 Hz and 516 Hz interfere. How many beats are heard in 8 seconds?

A. 28
B. 30
C. 32
D. 36

Q9. A travelling wave is reflected at a rigid boundary. If the incident wave is \( y = 0.05 \sin (10x - 20t) \), what is the reflected wave equation?

A. \( y = 0.05 \sin (10x + 20t) \)
B. \( y = -0.05 \sin (10x + 20t) \)
C. \( y = 0.05 \sin (10x - 20t) \)
D. \( y = -0.05 \sin (10x - 20t) \)

Q10. Why does the amplitude of a standing wave vary along its length?

A. Due to changing frequency
B. Due to medium density
C. Due to wave speed
D. Due to interference

Q11. In a progressive wave, what is the phase relationship between two points separated by one full wavelength?

A. Out of phase by \( \pi \) radians
B. In phase
C. Out of phase by \( \pi/2 \) radians
D. Out of phase by \( 3\pi/2 \) radians

Q12. What is the phase difference between two particles separated by half a wavelength in a progressive wave?

A. \( \pi/2 \) radians
B. \( \pi \) radians
C. \( 2\pi \) radians
D. Zero

Q13. A pipe open at both ends has a length of 0.85 m and resonates with a source of frequency 600 Hz. What is the harmonic number if the speed of sound is 340 m/s?

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

Q14. A stationary wave on a string is given by \( y = 0.04 \sin (\frac{\pi x}{4}) \cos (80\pi t) \), where \( x \) and \( y \) are in meters and \( t \) in seconds. What is the distance between two consecutive antinodes?

A. 2 m
B. 6 m
C. 8 m
D. 4 m

Q15. What is the physical significance of the wave number in a progressive wave?

A. Wave speed
B. Frequency
C. Amplitude
D. Spatial frequency

Physics — Waves

Set 6 of 22

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