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Question

A wooden block is suspended from a spring. Its period for vertical oscillations is T. In a second experiment the same apparatus is laid on a horizontal frictionless table with the free end of the spring fixed to a nail on the table.The block is pulled a little so as to stretch the spring and then released.The mass will

A
Execute simple harmonic motion with period T
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B
Execute simple harmonic motion with period T/2
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C
Execute simple harmonic motion with period 2T
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D
Not execute simple harmonic motion
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Solution

The correct option is A Execute simple harmonic motion with period T
The expression for the time period for vertical as well as horizontal oscillations is the same as mg = kx
T=2πmk
Where m is the mass of the block and k is the force constant of the spring.
Hence the correct Choice is (a).

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