NEET 2016 Phase 1 | Electrostatics Question 32 | Physics

Two identical charged spheres suspended from a common point by two massless strings of lengths $$l$$, are initially at a distance d(d < < $$l$$) apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity v. Then v varies as a function of the distance x between the spheres, as

v $$ \propto $$ x^$$-$$1/2

v $$ \propto $$ x^$$-$$1

v $$ \propto $$ x^1/2

v $$ \propto $$ x

AIPMT 2015

MCQ (Single Correct Answer)

-1

If potential (in volts) in a region is expressed as V(x, y, z) = 6xy $$-$$ y + 2yz, the electric field (in N/C) at point (1, 1, 0) is

$$ - \left( {2\widehat i + 3\widehat j + \widehat k} \right)$$

$$ - \left( {6\widehat i + 9\widehat j + \widehat k} \right)$$

$$ - \left( {3\widehat i + 5\widehat j + 3\widehat k} \right)$$

$$ - \left( {6\widehat i + 5\widehat j + 2\widehat k} \right)$$

AIPMT 2015 Cancelled Paper

MCQ (Single Correct Answer)

-1

The electric field in a certain region is acting radially outward and is given by E = Ar. A charge contained in a sphere of radius 'a' centred at the origin of the field, will be given by

$$4\pi {\varepsilon _0}A{a^3}$$

$${\varepsilon _0}A{a^3}$$

$$4\pi {\varepsilon _0}A{a^2}$$

$$A{\varepsilon _0}{a^2}$$

AIPMT 2014

MCQ (Single Correct Answer)

-1

A conducting sphere of radius R is given a charge Q. The electric potential and the electric field at the centre of the sphere rrespectively are

zero and $${Q \over {4\pi {\varepsilon _0}{R^2}}}$$

$${Q \over {4\pi {\varepsilon _0}R}}$$ and zero

$${Q \over {4\pi {\varepsilon _0}R}}$$ and $${Q \over {4\pi {\varepsilon _0}{R^2}}}$$

both are zero

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