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The following figure shows a block of mass m suspended from a fixed point by means of a vertical spring. The block is oscillatting simple harmonically and carries a charge q. There also exists a uniform electric field in the region. Consider four different cases. The electric field is zero in case 1, `mg//q` downward in case 2, `mg//q` upward in case 3, and `2mg//q` downward in case 4. The speed at mean position is same in all cases. Select the correct alternative (s). A. Time periods of oscillation are equal in case 1 and case 3.B. Amplitudes of displacement are same in case 2 and case 3.C. The maximum elongation (increment in length from natural length) is maximum in case 4.D. Time periods of oscillation are equal in case 2 and case 4. |
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Answer» Correct Answer - A::B::C::D a.,b.,c.,d. (a) Only equilibrium position changes. Time period remains same `T=2pisqrt(m//K)`. (b) `(1)/(2)kx^(2)=(1)/(2)mv^(2)` So `v` at mean position is same amplitude will be same. (c) In case `4` equilibrium psotion is `x_(0)=3mg//k`. |
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