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Question

A spring block system is put into SHM in two experiments. In the first experiment, the block is pulled from the equilibrium position through a distance d1 and then released. In the second experiment, it is pulled from the equilibrium position through a greater distance d2 and then released. For the given scenario choose the incorrect statement.


A
Time period is same for both SHM
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B
Frequency is same for both SHM
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C
Maximum kinetic energy is same for both SHM
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D
Angular frequency is same for both SHM
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Solution

The correct option is C Maximum kinetic energy is same for both SHM
The time period for a spring-block system performing simple harmonic motion is,
T=2πmk
f=12πkm
Angular frequency is given by,
ω=km
Above parameters T, f, ω are independent of amplitude but Max. Kinetic energy depends on the amplitude of oscillation.
K.Emax=12mω2A2
In the second case, the amplitude of oscillation of block will be higher (d2>d1), hence maximum kinetic energy will be greater in this case.

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