1
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
A thin spherical conducting shell of radius $$R$$ has a charge $$q.$$ Another charge $$Q$$ is placed at the center of the shell. The electrostatic potential at a point $$P$$ a distance $${R \over 2}$$ from the center of the shell is
A
$${{2Q} \over {4\pi {\varepsilon _0}R}}$$
B
$${{2Q} \over {4\pi {\varepsilon _0}R}} - {{2q} \over {4\pi {\varepsilon _0}R}}$$
C
$${{2Q} \over {4\pi {\varepsilon _0}R}} + {q \over {4\pi {\varepsilon _0}R}}$$
D
$${{\left( {q + Q} \right)2} \over {4\pi {\varepsilon _0}R}}$$
2
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
The work done in placing a charge of $$8 \times {10^{ - 18}}$$ coulomb on a condenser of capacity $$100$$ micro-farad is
A
$$16 \times {10^{ - 32}}\,\,joule$$
B
$$3.1 \times {10^{ - 26}}\,\,joule$$
C
$$4 \times {10^{ - 10}}\,\,joule$$
D
$$32 \times {10^{ - 32}}\,\,joule$$
3
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
Dimensions of $${1 \over {{\mu _0}{\varepsilon _0}}}$$, where symbols have their usual meaning, are
A
[ L-1T ]
B
[ L-2T2 ]
C
[ L2T-2 ]
D
[ LT-1 ]
4
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
The physical quantities not having same dimensions are
A
torque and work
B
momentum and Planck's constant
C
stress and Young's modulus
D
speed and $${\left( {{\mu _0}{\varepsilon _0}} \right)^{ - 1/2}}$$
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