AIPMT 2010 Prelims | Electrostatics Question 49 | Physics

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 2009

MCQ (Single Correct Answer)

-1

Three concentric spherical shells have radii a, b and c (a < b < c) anf have surface charge densities $$\sigma $$, $$-$$$$\sigma $$ and $$\sigma $$ respectively. If V_A, V_B and V_C denote the potentials of the three shells, then, for c = a + b, we have

V_C = V_B $$ \ne $$ V_A

V_C $$ \ne $$ V_B $$ \ne $$ V_A

V_C = V_B = V_A

V_C = V_A $$ \ne $$ V_B

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

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

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

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

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

AIPMT 2008

MCQ (Single Correct Answer)

-1

The electric potential at a point in free space due to charge Q coulomb is Q $$ \times $$ 10¹¹ volts. The electric field at that point is

$$4\pi {\varepsilon _0}Q \times {10^{20}}$$ volt/m

12$$\pi $$₀Q $$ \times $$ 10²² volt/m

$$4\pi {\varepsilon _0}Q \times {10^{22}}$$ volt/m

$$12\pi {\varepsilon _0}Q \times {10^{20}}$$ volt/m

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