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Hassan
1.In case of a forced vibration, the resonance wave becomes very sharp when the?
A. Applied periodic force is small
B. Quality factor is small
C. Damping force is small
D. Applied periodic force is small
2.If the metal bob of a simple pendulum is replaced by a wooden bob, then its time period will?
A. Increase
B. Decrease
C. Remains the same
D. Increase
3.The total energy of a particle executing simple harmonic motion is?
A. ∝x
B. ∝x2
C. Independent of x
D. ∝x
4.A body executes simple harmonic motion. The potential energy, the kinetic energy and total energy are measured as a function of displacement x. Which of the following statements is true?
A. Kinetic energy is maximum when x = 0
B. Total energy is zero, when x = 0
C. Kinetic energy is maximum when x is maximum
D. Kinetic energy is maximum when x = 0
5.The ratio of frequencies of two pendulums is 2:3 then their lengths are in ratio?
A. √(2/3)
B. √(3/2)
C. 4/9
D. √(2/3)
6.For a particle executing simple harmonic motion, which of the following statements is not correct?
A. Total energy is always directed toward a fixed point
B. Restoring force is always directed towards a fixed point
C. Restoring force is maximum at the extreme positions
D. Total energy is always directed toward a fixed point
7.If a spring of mass 30kg has a spring constant of 15N/m, then its time period is?
A. 2Ï€s
B. 2√2 πs
C. 2√2π s
D. 2Ï€s
8.A spring (spring constant = k) is cut into 4 equal parts and two parts are connected in parallel. What is the effective spring constant?
A. 4k
B. 16k
C. 8k
D. 4k
9.The periodic time of a body executing simple harmonic motion is 4s. After how many intervals from time t=0, its displacement will be half of its amplitude?
A. 1⁄2 s
B. 1/3 s
C. 1⁄4 s
D. 1⁄2 s
10.A body of mass 5kg hangs from a spring and oscillates with a time period of 2Ï€ seconds. If the body is removed, the length of the spring will decrease by?
A. g/k meters
B. k/g meters
C. 2Ï€ meters
D. g/k meters
11.The time period of mass suspended from a spring is T. If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new time period will be?
A. T/4
B. T
C. T/2
D. T/4
12.Time period of a simple pendulum is 2sec. If its length is increased by 4 times, then its period becomes?
A. 8 sec
B. 12 sec
C. 16 sec
D. 8 sec
13.If the length of a simple pendulum is increased by 2%, then the time period?
A. Increases by 1%
B. Decreases by 1%
C. Increases by 2%
D. Increases by 1%
14.A second’s pendulum is mounted in a rocket. Its period of oscillation will decrease when rocket is?
A. Moving down with uniform acceleration
B. Moving around the earth in geostationary orbit
C. Moving up with uniform velocity
D. Moving down with uniform acceleration
15.A simple pendulum is suspended from the roof of a trolley which moves in a horizontal direction with an acceleration a, then the time period is given by T=2π√(l/g), where g is equal to?
A. g
B. g-a
C. g+a
D. g
16.In case of a forced vibration, the resonance peak becomes very sharp when the?
A. Damping force is small
B. Restoring force is small
C. Applied periodic force is small
D. Damping force is small
17.The composition of two simple harmonic motions of equal periods at the right angle to each other and with a phase difference of π results in the displacement of the particle along?
A. Circle
B. Figure of eight
C. Straight line
D. Circle
18.A particle executes simple harmonic motion, its time period is 16s. If it passes through the centre of oscillation, then its velocity is 2 m/s at time 2s. The amplitude will be?
A. 7.2m
B. 4cm
C. 6cm
D. 7.2m
19.A body is executing the simple harmonic motion with an angular frequency of 2rad/sec. Velocity of the body at 20m displacement, when amplitude of motion is 60m, is?
A. 90 m/s
B. 118 m/s
C. 113 m/s
D. 90 m/s
20.A particle is executing simple harmonic motion of amplitude 10cm. Its time period of oscillation is π seconds. The velocity of the particle when it is 2 cm from extreme position is?
A. 10 cm/s
B. 12 cm/s
C. 16√16 cm/s
D. 10 cm/s
21.The magnitude of acceleration of particle executing simple harmonic motion at the position of maximum displacement is?
A. Zero
B. Minimum
C. Maximum
D. Zero
22.The maximum velocity and maximum acceleration of a body moving in a simple harmonic motion are 2m/s and 4m/s2 respectively. What will be the angular velocity?
A. 4 rad/sec
B. 3 rad/sec
C. 2 rad/sec
D. 4 rad/sec
23.The ratio of the speed of sound in nitrogen gas to that in the helium gas at 300 K is?
A. √(2/7)
B. √(1/7)
C. √3/5
D. √(2/7)
24.The extension in a string, obeying Hooke’s law, is x. The speed of sound in the stretched string is v. If the extension in the spring is increased to 1.5x, the speed of sound will be?
A. 1.22v
B. 0.16v
C. 1.50v
D. 1.22v
25.A travelling wave in a stretched string is described by the equation y = Asin(kx-ωt). The maximum particle velocity is?
A. Aω
B. ω/k
C. dω/dk
D. Aω
26.A wave represented by the equation y=acos(kx-ωt) is superposed with another wave to form a stationary wave such that point x=0 is a node. The equation for the other wave is?
A. acos(kx-ωt)
B. -acos(kx-ωt)
C. -acos(kx+ωt)
D. acos(kx-ωt)
27.A whistle giving out 450Hz approaches a stationary observer at a speed of 33m/s. The frequency heard by the observer in Hz is (speed of sound = 330m/s).
A. 409
B. 429
C. 517
D. 409
28.The displacement of particles in a string stretched in the x-direction is represented by y. Among the following expressions for y, those describing wave motion are?
A. coskxsinωt
B. k2 ω2-ω2 t2
C. cos2 (kx+ωt)
D. coskxsinωt
29.A tube closed at one end and containing air produces, when excited, the fundamental note of frequency 512Hz. If the tube is open at both ends, the fundamental frequency that can be excited is (in Hz).
A. 1024
B. 512
C. 256
D. 1024
30.A wave y=asin(ωt-kx), on a string meets with another wave producing a node at x = 0. Then, the equation of the unknown wave is?
A. y=asin⁡(ωt+kx)
B. y=-asin⁡(ωt+kx)
C. y=asin⁡(ωt-kx)
D. y=asin⁡(ωt+kx)
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