AIPMT 2010 Mains | Electrostatics Question 49 | Physics

The electric field at a distance $${{3R} \over 2}$$ from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance $${R \over 2}$$ from the centre of the sphere is

zero

$${E \over 2}$$

$${E \over 3}$$

AIPMT 2010 Prelims

MCQ (Single Correct Answer)

-1

Two positives ions, each carrying a charge q, are separated by a distance d. If F is the force of repulsion between the ions, the number of electrons missing from each ion will be (e being the charge on an electron)

$${{4\pi {\varepsilon _0}F{d^2}} \over {{e^2}}}$$

$$\sqrt {{{4\pi {\varepsilon _0}F{e^2}} \over {{d^2}}}} $$

$$\sqrt {{{4\pi {\varepsilon _0}F{d^2}} \over {{e^2}}}} $$

$${{4\pi {\varepsilon _0}F{d^2}} \over {{q^2}}}$$

AIPMT 2010 Prelims

MCQ (Single Correct Answer)

-1

A square surface of side L meter in the plane of the paper is placed in a uniform electric field $$E$$(volt/m) acting along the same plane at an angle $$\theta $$ with the horizontal side of the square as shown in figurre.

AIPMT 2010 Prelims Physics - Electrostatics Question 50 English

AIPMT 2010 Prelims Physics - Electrostatics Question 50 English

The electric flux linked to the surface, in units of volt m is

EL²

EL²cos$$\theta $$

EL²sin$$\theta $$

zero

AIPMT 2009

MCQ (Single Correct Answer)

-1

The electric potential at a point (x, y, z) is given by V = $$-$$x²y $$-$$ xz³ + 4

The electric field at that point is

$$\overrightarrow E = \widehat i2xy + \widehat j\left( {{x^2} + {y^2}} \right) + \widehat k\left( {3xz - {y^2}} \right)$$

$$\overrightarrow E = \widehat i{z^3} + \widehat jxyz + \widehat k{z^2}$$

$$\overrightarrow E = \widehat i\left( {2xy - {z^3}} \right) + \widehat jx{y^2} + \widehat k3{z^2}x$$

$$\overrightarrow E = \widehat i\left( {2xy + {z^3}} \right) + \widehat j{x^2} + \widehat k3x{z^2}$$

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