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The following figure-I .427 shows a bloc...

The following figure-I .427 shows a block of mass m suspended from a fixed point by means ofa vertical spring. The block is oscillating simple harmonically and carries a charge q. There also exists a uniform electric field in the space. Consider four different cases. The electric field is zero, in case-I, `E= mg//q` downward in case-2, `E = mg// q` upward in case-3 and `E = 2mg//q` downward in case-4. The speed at mean position of block is same in all cases. Select which of the following statements is/ are correct :

A

Time periods ofoscillation are equal in case-I 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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