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A particular of mass m and having a char...

A particular of mass `m` and having a charge `q` is placed on a smooth horizontal table and is connected to walls through unstressed springs of constant `k` (shown in figure). A horizontal electric field `E` parallel to spring is switched On. The maximum speed of the particle

A

`(qE)/(sqrt((2mk))`

B

`(qE)/(mk)`

C

`(qE)/m`

D

none of these

Text Solution

Verified by Experts

(a) The compression is spring at equilibrium `=x_(0)`
`:. 2kx_(0)=qE :' x_(0)=(qE)/(2k)=A=` amplitude
Also, `omega=sqrt((k_(1)+k_(2))/m)=sqrt((2k)/m)`
`1/2mv_("max")^(2)=1/2mA^(2)omega^(2)impliesv_("max")=(qE)/(sqrt(2mk))`
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