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Karnataka Board PUCPUC Science Class 11

A Block of Mass M with a Charge Q is Placed on a Smooth Horizontal Table and is Connected to a Wall Through an Unstressed Spring of Spring Constant K, as Shown in the Figure.

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Question

A block of mass m with a charge q is placed on a smooth horizontal table and is connected to a wall through an unstressed spring of spring constant k, as shown in the figure. A horizontal electric field E, parallel to the spring, is switched on. Find the amplitude of the resulting SHM of the block. 

Numerical
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Solution

Given:
Charge of the block = q
Electrical field intensity = E
Mass of the block = m
Spring constant = k
Electric force, F = qE
Spring force, F = − kx (where x is the amplitude)
Therefore, qE = − kx

\[\Rightarrow x = \left| - \frac{qE}{k} \right| = \frac{qE}{k}\] 

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Chapter 29: Electric Field and Potential - Exercises [Page 123]

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HC Verma Concepts of Physics Volume 1 and 2 [English]
Chapter 29 Electric Field and Potential
Exercises | Q 51 | Page 123

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