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NEET2007PhysicsOscillationsActual

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

Options

  1. A(5 ~Hz )
  2. B(0.5 ~Hz )
  3. C(1.5 ~Hz )
  4. D(10 ~Hz )

Correct answer

A. (5 ~Hz )

Step-by-step solution

Here, (a=1 ~cm =0.01 ~m ); The mass will remain in contact with surface, if (m g=m ^2 a or = g / a ) ( aligned & or 2 v= g / a or v= 1 2 g a & v= 7 2 22 980 1 =4.9 ~s ⁻¹=5 ~Hz aligned )

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