32 NEET previous-year questions on Oscillations, each with the correct answer and a step-by-step solution. Filter by topic and expand any question to see how to solve it.
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Periodic but not SHM
SHM
Random
Damped
Solution
The hallmark of SHM is acceleration proportional to displacement and oppositely directed: .
Solution
Standard formula: (small angle).
Solution
Spring-mass: .
Solution
Energy conservation in SHM: .
Solution
.
Solution
At , has magnitude .
Doubles
Halves
Increases by
Decreases by
Solution
. Doubling L multiplies T by .
Solution
Parallel: .
Solution
Series: .
Solution
and . Setting them equal: .
Solution
. The phase shift converts sine to cosine.
1 s
2 s
4 s
8 s
Solution
. becomes , so T scales by . .
50 N/m
100 N/m
150 N/m
200 N/m
Solution
.
The mean position ()
The extreme positions ()
Random points
Solution
is max at , equal to .
Stays constant
Increases linearly with time
Decreases exponentially with time
Oscillates with time
Solution
Damped oscillation: . Amplitude decays exponentially.
Driving frequency is much greater than natural frequency
Driving frequency equals natural frequency
Driving frequency is much less than natural frequency
Damping is very high
Solution
At , the amplitude of oscillation is maximum. This is resonance.
cm/s
cm/s
cm/s
cm/s
Solution
rad/s. .
Solution
Phase difference is the difference in arguments: .
Solution
Average KE = average PE = E/2 = (over a full cycle).
s
s
s
s
Solution
From extension: . . Approximately s.
Doubled
Halved
Quartered
Tripled
Solution
. becomes 1/2, so becomes 1/4 (quartered).
5 cm, 1 Hz
10 cm, 1 Hz
5 cm, 2 Hz
5 cm, Hz
Solution
with and .
Solution
At : . . Ratio .
5 rad/s
10 rad/s
20 rad/s
100 rad/s
Solution
and . Divide: .
0.5 cm
1 cm
2 cm
5 cm
Solution
From and : .
Solution
If , then . Velocity leads x by .
In the same direction
Always perpendicular
180° out of phase
90° out of phase
Solution
. Negative sign means acceleration is always opposite to displacement: 180° out of phase.
Solution
. Mass doubles, k halves: factor . New T = 2T.
Constant
Proportional to velocity
Proportional to displacement and opposite in direction
Random
Solution
SHM definition: restoring force (and so acceleration) proportional to displacement, opposite direction. .
Solution
Parallel: . .
Damped oscillation
Free / undamped oscillation
Forced oscillation at resonance
Overdamped
Solution
To keep the swing going at constant amplitude, energy must be added at the natural frequency: forced oscillation at resonance.
Doubles
Halves
Becomes infinite (no oscillation)
Stays the same
Solution
In a freely falling lift, effective . . The pendulum does not oscillate.
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