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Time period of a block when suspended fr...

Time period of a block when suspended from the upper plate of a parallel plate capactor by a spring of stiffness `k` is when block ids unchanged If a change `g` is given to the block then new time period of oscilation will be

A

`T`

B

`gt T`

C

`lt T`

D

`ge T`

Text Solution

Verified by Experts

The forces that act on the block are `qE` and `mg`. Since `qE` and `mg` are constant forces, the only variable elastic force changes by `kx`, where `x` is the elongation in the spring
`rArr ` Unbalanced (restoring)force `=F= -kx`
`rArr -momega^(2)x=-kx`
`rArr omega=sqrt((k)/(M))=T`.
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