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20 questions
A solid sphere of mass 4kg and radius 0.05 m is suspended from a wire. What is the period of oscillation, if the torque required to twist the wire is 4×10−3 N-m/rad
6.28 sec
3.14 sec
9.8 sec
1.57 sec
In any system in SHM, the restoring force acting on the mass in the system is proportional to
the displacement
the length of the pendulum
the mass
the frequency
If a simple harmonic oscillator has a displacement of 0.02 m and acceleration equal to 2.00 m s-2, the angular frequency is equal to:
10.0 rad s-1
0.10 rad s-1
100 rad s-1
1.00 rad s-1
Given equation of SHM, x=0.34 cos 3000t where x in mm and t in second. The frequency is:
3000 Hz
3000/2π Hz
0.74/2π Hz
3000/π Hz
The acceleration of a particle in SHM is:
always zero
always constant
maximum at amplitude
maximum at the equilibrium position
Which of the following equation represent the displacement of SHM:
x= A tan ωt
x= A sin ωt
x= A sin ωt cos kx
x= A sin (ωt ± kx)
The displacement x, for a particle at time t in simple harmonic motion is given by the equation, x = 10 sin 20t where x is in meters and t is in seconds. Determine the displacement at t=10 s
91.3 m
8.73 m
-91.3 m
-8.73 m
Two simple harmonic oscillators of mass 12 gram and 48 gram oscillate separately under the action same restoring force. The ratio of their frequencies is
2:1
1:2
4:1
1:4
A wave traveling at 340. m/s with a wavelength of 7.65 m will have a frequency of _____.
44.4 Hz
0.0225 Hz
2,601 Hz
none of these
Refractive index is
sin rsin i
μϵc
μϵ
cvϕ
Snell's law of refraction
n1sinθ1=n2sinθ2
n=sin rsin i
n=vc
n=sin i
Velocity of sound after Laplace's correction is
ρp0
ρ0γp0
ρ0γp0
MkT
Characteristic impedence is given by
T0ρ0
ρ0T0
ρ0T0
ρ0T0
1 db is equal to
Factor of 1000 in intensity
Factor of 1.26 in intensity
Factor of 102.6 in intensity
Factor of 10 in intensity
Group velocity is given by
dkdω
kω
v0k
ρ0T0
Time duration of a pulse is given by
Δν Δt≈1
Δω Δt≈1
Δν Δt≈2π
Δν Δt ≈2πh
The length of the second pendulum is given by
2 m
0.5 m
1 m
3.14 m
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