A wooden block performs SHM on a frictionless surface with frequency $ν_{0}$ . The block carries a charge $+ Q$ on its surface. If now a uniform electric field $\vec{E}$ is switched-on as shown, then the SHM of the block will be [2011]

Question

Smart Achievers · Accepted Answer

(1)

Here frequency of SHM performed by the wooden block $v_{0} = \frac{1}{2 π} \sqrt{\frac{k}{m}}$

This value of frequency will remain unchanged because when the electric field is switched on, the values of $k$ and $m$ are not affected. The mean position of SHM shifts towards the right by $l = \frac{Q E}{k}$ due to the force acting $F = q E .$

Solution

Q.
A wooden block performs SHM on a frictionless surface with frequency $ν_{0}$ . The block carries a charge $+ Q$ on its surface. If now a uniform electric field $\vec{E}$ is switched-on as shown, then the SHM of the block will be [2011]

1 of the same frequency and with shifted mean position.

2 of the same frequency and with the same mean position.

3 of changed frequency and with shifted mean position.

4 of changed frequency and with the same mean position.

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