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The MCQs below are drawn from the Physics subject category.
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541
When the particles of the medium vibrate about their mean position, along the direction of motion of the waves, then the waves are called:
A. Water waves
B. Longitudinal waves
C. Transverse waves
D. Complex waves
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Explanation
When particle motion is parallel to wave propagation direction it defines longitudinal waves, so option A is correct.
542
The distance of vibrating body from the mean position at any time is known as its
A. Instantaneous displacement
B. All of them
C. Mean displacement
D. Average displacement
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Explanation
The displacement at a particular instant is called instantaneous displacement, not mean or average which are different concepts.
543
A wave source of frequency 1000 Hz emits waves of wavelength 0.1 m. How long does it take for the waves to travel 2500 m?
A. 25 s
B. 100 s
C. 40 s
D. 20 s
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Explanation
Wave speed = f × λ = 1000 × 0.1 = 100 m s^-1; time = distance/speed = 2500/100 = 25 s.
544
A simple pendulum is suspended from the ceiling of a train. When the train moves with a constant acceleration 'a', the direction of the string from the vertical is
A. tan^-1 (a/g)
B. cos^-1 (a/g)
D. sin^-1 (a/g)
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Explanation
In the accelerating frame the bob is in equilibrium under effective horizontal acceleration a and gravity g, so tan θ = a/g and θ = tan^-1(a/g).
545
The sound waves used sonography are
A. greater than 20 kHz
B. of 20 MHz
C. of -20 kHz
D. less than 20 kHz
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Explanation
Medical sonography uses ultrasonic waves with frequencies greater than 20 kHz, so 'greater than 20 kHz' is correct.
546
Time period of a simple pendulum depends upon
A. amplitude of vibration
B. thickness of the thread
C. length of the pendulum
D. mass of the pendulum
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Explanation
For small amplitudes, the period of a simple pendulum depends on its length and g, not mass or thread thickness.
547
In Q. 26, the time period with which the kinetic energy changes is
A. T
B. T/2
C. 2T
D. T/4
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Explanation
Kinetic energy is proportional to velocity squared and thus varies as x^2 (or cos^2), giving a period half that of displacement, T/2.
548
Velocity of sound in air at a given temperature
A. is independent of the pressure
B. increases with increase in density
C. increases with increase in pressure
D. decreases with increase in density
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Explanation
At a given temperature, the speed of sound in an ideal gas is essentially independent of pressure and depends primarily on temperature and molecular properties.
549
The total energy of a body executing SHM is directly proportional to
A. the amplitude
B. square root of the amplitude
C. reciprocal of the amplitude
D. the square of the amplitude
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Explanation
Total mechanical energy in SHM is proportional to kA^2/2, so it scales with the square of the amplitude.
550
When stationary waves are formed in a closed organ pipe
A. the maximum pressure occurs at the nodes
B. each particle at the node experiences zero acceleration
C. a node is formed at the closed end of the pipe
D. an antinode is formed at the closed end of the pipe
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Explanation
For displacement, the closed end of an organ pipe is a node (zero displacement) for standing waves; pressure behavior differs.