1
IIT-JEE 2008 Paper 2 Offline
+3
-1

A parallel plate capacitor C with plates of unit area and separation d is filled with a liquid of dielectric constant K = 2. The level of liquid is $$\frac{d}{3}$$ initially. Suppose the liquid level decreases at a constant speed V, the time constant as a function of time t is:

A
$${{6{\varepsilon _0}R} \over {5d + 3Vt}}$$
B
$${{(15d + 9Vt){\varepsilon _0}R} \over {2{d^2} - 3dVt - 9{V^2}{t^2}}}$$
C
$${{6{\varepsilon _0}R} \over {5d - 3Vt}}$$
D
$${{(15d - 9Vt){\varepsilon _0}R} \over {2{d^2} + 3dVt - 9{V^2}{t^2}}}$$
2
IIT-JEE 2008 Paper 2 Offline
+3
-1

A light beam is travelling from Region I to Region IV (Refer figure). The refractive index in Regions I, II, III and IV are $${n_0},{{{n_0}} \over 2},{{{n_0}} \over 6}$$ and $${{{n_0}} \over 8}$$, respectively. The angle of incidence $$\theta$$ for which the beam just misses entering Region IV is

A
$${\sin ^{ - 1}}\left( {{3 \over 4}} \right)$$
B
$${\sin ^{ - 1}}\left( {{1 \over 8}} \right)$$
C
$${\sin ^{ - 1}}\left( {{1 \over 4}} \right)$$
D
$${\sin ^{ - 1}}\left( {{1 \over 3}} \right)$$
3
IIT-JEE 2008 Paper 2 Offline
+3
-1

STATEMENT 1 : It is easier to pull a heavy object than to push it on a level ground.

and

STATEMENT 2 : The magnitude of frictional force depends on the nature of the two surfaces in contact.

A
Statement 1 is True, Statement 2 is True; Statement 2 is a CORRECT explanation for Statement 1
B
Statement 1 is True, Statement 2 is True; Statement 2 is a NOT CORRECT explanation for Statement 1
C
Statement 1 is True, Statement 2 is False
D
Statement 1 is False, Statement 2 is True
4
IIT-JEE 2008 Paper 2 Offline
+3
-1

STATEMENT 1 : For practical purposes, the earth is used as a reference at zero potential in electrical circuits.

and

STATEMENT 2 : The electrical potential of a sphere of radius R with charge Q uniformly distributed on the surface is given by $${Q \over {4\pi {\varepsilon _0}R}}$$

A
Statement 1 is True, Statement 2 is True; Statement 2 is a CORRECT explanation for Statement 1
B
Statement 1 is True, Statement 2 is True; Statement 2 is a NOT CORRECT explanation for Statement 1
C
Statement 1 is True, Statement 2 is False
D
Statement 1 is False, Statement 2 is True
EXAM MAP
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