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Q.

A large horizontal surface moves up and down in SHM with an amplitude of 1 cm. If a mass of 10 kg (which is placed on the surface) is to remain continually in contact with it, the maximum frequency of S.H.M. will be

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a

10 Hz

b

1.5 Hz 

c

5 Hz

d

0.5 Hz 

answer is C.

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Detailed Solution

detailed_solution_thumbnail

For body to remain in contact  amax=g

∴ω2A=g⇒4π2n2A=g

⇒n2=g4π2A=104(3.14)20.01=25⇒n=5 Hz

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A large horizontal surface moves up and down in SHM with an amplitude of 1 cm. If a mass of 10 kg (which is placed on the surface) is to remain continually in contact with it, the maximum frequency of S.H.M. will be