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591
Resonance occurs when the driving frequency is:
A. Equal to the natural frequency
B. Less than natural frequency
C. Unequal the natural frequency
D. Greater than natural frequency
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Correct Option
Explanation
Resonance happens when the driving frequency equals the system's natural frequency.
592
Which of the following factor will not affect the speed of sound in a medium?
A. Mass
B. Temperature
C. Humidity
D. Pressure
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Explanation
At a given temperature and for an ideal gas, sound speed is independent of pressure; it depends mainly on temperature and the medium's properties.
593
The time period of a simple pendulum is independent of its
A. restoring force
B. acceleration due to gravity
C. length
D. mass
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Explanation
The period of a simple pendulum depends on length and gravitational acceleration but not on the mass of the bob.
594
Which of the following phenomena is not common to sound and light waves ?
A. Interference
B. Polarisation
C. Diffraction
D. Coherence
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Explanation
Sound waves are longitudinal and do not exhibit polarization, whereas light (transverse) does.
595
A simple pendulum with a bob of mass m is swinging with an angular amplitude of 40°. When its displacement is 20°, the tension in the string is
A. less than mg cos 20°
B. greater than mg cos 20°
C. zero
D. mg cos 20°
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Explanation
At 20° the bob is moving so tension = mg cos20° + m v²/L; the extra centripetal term makes the tension greater than mg cos20°.
596
A tuning fork produces waves in a medium. If temperature of the medium changes, then which property of the waves will change as well?
A. Time period
B. Wavelength
C. Amplitude
D. Frequency
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Explanation
The tuning fork fixes the frequency, while wave speed in the medium depends on temperature, so wavelength (λ = v/f) changes; OCR shows option A selected.
597
When two waves travelling through the same medium arrive at the same point 180° out of phase, they give rise to
A. refraction
B. constructive interference
C. destructive interference
D. polarization
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Explanation
Two waves 180° out of phase cancel each other, producing destructive interference.
598
Light waves can be polarized because they
A. are transverse in nature
B. have high frequencies
C. have short wavelength
D. can be reflected
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Correct Option
Explanation
Polarization is possible only for transverse waves, and light is transverse, allowing polarization.
599
A 1 kg block is executing SHM of amplitude 0.1 m on a smooth horizontal surface under a spring of constant 100 N/m. A block of mass 3 kg is gently placed on it at the instant it passes through the mean position. Assuming the two blocks move together, the amplitude of the motion is
A. 5 cm
B. 3 cm
C. 1 cm
D. 2 cm
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Explanation
When the extra mass is placed gently, horizontal momentum is conserved: v' = (1*1)/4 = 0.25 m/s, ω' = √(k/(1+3)) = 5 rad/s, so new amplitude A' = v'/ω' = 0.25/5 = 0.05 m = 5 cm.
600
If a rope in a hand makes 10 oscillations after every 2 s, the frequency of the wave is
A. 10 s^-1
B. 5 s^-1
C. 2 s^-1
D. 20 s^-1
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Explanation
Frequency = number of oscillations / time = 10 / 2 = 5 s^-1.
