1
JEE Main 2021 (Online) 27th July Evening Shift
+4
-1
A simple pendulum of mass 'm', length 'l' and charge '+ q' suspended in the electric field produced by two conducting parallel plates as shown. The value of deflection of pendulum in equilibrium position will be

A
$${\tan ^{ - 1}}\left[ {{q \over {mg}} \times {{{C_1}({V_2} - {V_1})} \over {({C_1} + {C_2})(d - t)}}} \right]$$
B
$${\tan ^{ - 1}}\left[ {{q \over {mg}} \times {{{C_2}({V_2} - {V_1})} \over {({C_1} + {C_2})(d - t)}}} \right]$$
C
$${\tan ^{ - 1}}\left[ {{q \over {mg}} \times {{{C_2}({V_1} + {V_2})} \over {({C_1} + {C_2})(d - t)}}} \right]$$
D
$${\tan ^{ - 1}}\left[ {{q \over {mg}} \times {{{C_1}({V_1} + {V_2})} \over {({C_1} + {C_2})(d - t)}}} \right]$$
2
JEE Main 2021 (Online) 27th July Evening Shift
+4
-1
The resistance of a conductor at 15$$^\circ$$C is 16$$\Omega$$ and at 100$$^\circ$$C is 20$$\Omega$$. What will be the temperature coefficient of resistance of the conductor?
A
0.010$$^\circ$$C$$-$$1
B
0.033$$^\circ$$C$$-$$1
C
0.003$$^\circ$$C$$-$$1
D
0.042$$^\circ$$C$$-$$1
3
JEE Main 2021 (Online) 27th July Morning Shift
+4
-1
In the given figure, a battery of emf E is connected across a conductor PQ of length 'l' and different area of cross-sections having radii r1 and r2 (r2 < r1).

Choose the correct option as one moves from P to Q :
A
Drift velocity of electron increases.
B
Electric field decreases.
C
Electron current decreases.
D
All of these
4
JEE Main 2021 (Online) 25th July Evening Shift
+4
-1
In the given potentiometer circuit arrangement, the balancing length AC is measured to be 250 cm. When the galvanometer connection is shifted from point (1) to point (2) in the given diagram, the balancing length becomes 400 cm. The ratio of the emf of two cells, $${{{\varepsilon _1}} \over {{\varepsilon _2}}}$$ is :

A
$${5 \over 3}$$
B
$${8 \over 5}$$
C
$${4 \over 3}$$
D
$${3 \over 2}$$
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