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There is a non-conducting rod of length L and negligible mass with two small balls each of mass m and electric charge Q attached to its ends. The rod can rotate in the horizontal plane about a fixed vertical axis crossing it a distance L4 from one of its ends. A uniform horizontal electric field E (along +x axis) is established. At first the rod is in unstable equilibrium. If it is disturbed slightly from this position, what would be the angular frequency of SHM in the above question?

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Important Questions on Electric Charges and Fields

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Gamma Question Bank for Engineering Physics>Chapter 15 - Electric Charges and Fields>Assignment Set-2>Q 26
The force of repulsion between two point charges is F, when they are d distance apart. If the point charges are replaced by conducting spheres each of radius $r$ and the charges remain same. The separation between the centre of sphere is d, then force of repulsion between them is
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Gamma Question Bank for Engineering Physics>Chapter 15 - Electric Charges and Fields>Assignment Set-2>Q 27
Two identical small bodies each of mass m and charge q are suspended from two strings each of length l from a fixed point. This whole system is taken into an orbiting artificial satellite, then find the tension in strings
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Gamma Question Bank for Engineering Physics>Chapter 15 - Electric Charges and Fields>Assignment Set-2>Q 28
Two points charges +4 q and +q are separated by distance r, where should a third point charge Q be placed that it remains in equilibrium
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Gamma Question Bank for Engineering Physics>Chapter 15 - Electric Charges and Fields>Assignment Set-2>Q 29
Which of the following is true, when a dipole is placed in non-uniform electric field?
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Gamma Question Bank for Engineering Physics>Chapter 15 - Electric Charges and Fields>Assignment Set-2>Q 30
Which of the following is true for electric flux through a Gaussian surface?
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Gamma Question Bank for Engineering Physics>Chapter 15 - Electric Charges and Fields>Assignment Set-2>Q 31
A point charge of +6 μC is placed at a distance 20 cm directly above the centre of a square of side 40 cm. The magnitude of the flux through the square is
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Gamma Question Bank for Engineering Physics>Chapter 15 - Electric Charges and Fields>Assignment Set-2>Q 32

A small spherically symmetric charge q is placed at one vertex of a cube as shown. The flux through the faces ABCD and HGEF are, respectively,

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Gamma Question Bank for Engineering Physics>Chapter 15 - Electric Charges and Fields>Assignment Set-2>Q 33

Charges Q, 2Q and 4Q are uniformly distributed in three dielectric solid spheres 1, 2 and 3 of radii R2, R and 2R respectively, as shown in the figure. If magnitudes of the electric fields at point P at a distance R from the centre of spheres 1, 2 and 3 are E1, E2 and E3 respectively, then 

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