1
JEE Main 2021 (Online) 26th August Morning Shift
MCQ (Single Correct Answer)
+4
-1
The material filled between the plates of a parallel plate capacitor has resistivity 200 $$\Omega$$m. The value of capacitance of the capacitor is 2 pF. If a potential difference of 40 V is applied across the plates of the capacitor, then the value of leakage current flowing out of the capacitor is : (given the value of relative permittivity of material is 50)
A
9.0 $$\mu$$A
B
9.0 mA
C
0.9 mA
D
0.9 $$\mu$$A
2
JEE Main 2021 (Online) 27th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Match List I with List II.

List - I List - II
(a) Capacitance, C (i) $${M^1}{L^1}{T^{ - 3}}{A^{ - 1}}$$
(b) Permittivity of free space, $${\varepsilon _0}$$ (ii) $${M^{ - 1}}{L^{ - 3}}{T^4}{A^2}$$
(c) Permeability of free space, $${\mu _0}$$ (iii) $${M^{ - 1}}{L^{ - 2}}{T^4}{A^2}$$
(d) Electric field, E (iv) $${M^1}{L^1}{T^{ - 2}}{A^{ - 2}}$$


Choose the correct answer from the options given below
A
(a) $$\to$$ (iii), (b) $$\to$$ (ii), (c) $$\to$$ (iv), (d) $$\to$$ (i)
B
(a) $$\to$$ (iii), (b) $$\to$$ (iv), (c) $$\to$$ (ii), (d) $$\to$$ (i)
C
(a) $$\to$$ (iv), (b) $$\to$$ (ii), (c) $$\to$$ (iii), (d) $$\to$$ (i)
D
(a) $$\to$$ (iv), (b) $$\to$$ (iii), (c) $$\to$$ (ii), (d) $$\to$$ (i)
3
JEE Main 2021 (Online) 27th July Evening Shift
MCQ (Single Correct Answer)
+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

JEE Main 2021 (Online) 27th July Evening Shift Physics - Capacitor Question 61 English
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
$${\tan ^{ - 1}}\left[ {{q \over {mg}} \times {{{C_1}({V_1} + {V_2})} \over {({C_1} + {C_2})(d - t)}}} \right]$$
4
JEE Main 2021 (Online) 27th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
JEE Main 2021 (Online) 27th July Morning Shift Physics - Capacitor Question 63 English
A capacitor of capacitance C = 1 $$\mu$$F is suddenly connected to a battery of 100 volt through a resistance R = 100 $$\Omega$$. The time taken for the capacitor to be charged to get 50 V is :

[Take ln 2 = 0.69]
A
1.44 $$\times$$ 10$$-$$4 s
B
3.33 $$\times$$ 10$$-$$4 s
C
0.69 $$\times$$ 10$$-$$4 s
D
0.30 $$\times$$ 10$$-$$4 s
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