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A bead of mass m and charge +q is constrained to move freely o

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A bead of mass m and charge +q is constrained to move freely on vertical y-axis. A charge +Q is fixed at the origin. The bead is at rest at (0, a). Now it is displaced slightly so that it executes SHM. Its time period is then

2 π \frac{2 a}{g}

2 π \frac{a}{g}

2 π \frac{a}{2 g}

π \frac{a}{g}

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Updated on: May 10, 2023

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A bead of mass m and charge +q is constrained to move freely on vertical y-axis. A charge +Q is fixed at the origin. The bead is at rest at (0, a). Now it is displaced slightly so that it executes SHM. Its time period is then

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Text solutionVerified

\frac{k Qq}{a ^{2}} = m g

\frac{k Qq}{( a - y ) ^{2}} - m g

= \frac{k Qq}{( a - y ) ^{2}} - \frac{k Qq}{a ^{2}} ≃ \frac{k Qq 2 a y}{a ^{4}} = \frac{2 am g y}{a ^{2}}

m (a cc) = - \frac{2 m g y}{a}

w^{2} = \frac{2 g}{a}

T = 2 π \frac{a}{2 g}

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Question Text	A bead of mass m and charge +q is constrained to move freely on vertical y-axis. A charge +Q is fixed at the origin. The bead is at rest at (0, a). Now it is displaced slightly so that it executes SHM. Its time period is then
Updated On	May 10, 2023
Topic	Oscillations
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 8
Upvotes	873
Avg. Video Duration	9 min

A bead of mass m and charge +q is constrained to move freely on vertical y-axis. A charge +Q is fixed at the origin. The bead is at rest at (0, a). Now it is displaced slightly so that it executes SHM. Its time period is then

Text solutionVerified

Filo tutor solutions (8)

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A bead of mass m and charge +q is constrained to move freely on vertical y-axis. A charge +Q is fixed at the origin. The bead is at rest at (0, a). Now it is displaced slightly so that it executes SHM. Its time period is then

Text solutionVerified

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