1
AIPMT 2002
+4
-1
A capacitor of capacity C1 charged upto V volt and then connected to an uncharged capacitor of capacity C2. The final potential difference across each will be
A
$${{{C_1}V} \over {{C_1} + {C_2}}}$$
B
$${{{C_2}V} \over {{C_1} + {C_2}}}$$
C
$$\left( {1 - {{{C_2}} \over {{C_1}}}} \right)V$$
D
$$\left( {1 + {{{C_2}} \over {{C_1}}}} \right)$$
2
AIPMT 2001
+4
-1
A dipole of dipole moment $$\overrightarrow p$$ is placed in uniform electric field $$\overrightarrow E$$ then torque acting on it is given by
A
$$\overrightarrow \tau = \overrightarrow p .\overrightarrow E$$
B
$$\overrightarrow \tau = \overrightarrow p \times \overrightarrow E$$
C
$$\overrightarrow \tau = \overrightarrow p + \overrightarrow E$$
D
$$\overrightarrow \tau = \overrightarrow p - \overrightarrow E$$
3
AIPMT 2001
+4
-1
A charge Q$$\mu$$C is placed at the centre of a cube, the flux coming out from each face will be
A
$${Q \over {6{\varepsilon _0}}} \times {10^{ - 6}}$$
B
$${Q \over {6{\varepsilon _0}}} \times {10^{ - 3}}$$
C
$${Q \over {24{\varepsilon _0}}}$$
D
$${Q \over {8{\varepsilon _0}}}$$
4
AIPMT 2001
+4
-1
Energy per unit volume for a capacitor having area A and separation d kept at potential difference V is given by
A
$${1 \over 2}{\varepsilon _0}{{{V^2}} \over {{d^2}}}$$
B
$${1 \over {2{\varepsilon _0}}}{{{V^2}} \over {{d^2}}}$$
C
$${1 \over 2}C{V^2}$$
D
$${{{Q^2}} \over {2C}}.$$
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