JEE Main 2021 (Online) 26th August Evening Shift | Capacitor Question 38 | Physics

JEE Main 2021 (Online) 26th August Evening Shift

MCQ (Single Correct Answer)

-1

A parallel plate capacitor with plate area A has separation d between the plates. Two dielectric slabs of dielectric constant K₁ and K₂ of same area A/2 and thickness d/2 are inserted in the space between the plates. The capacitance of the capacitor will be given by:

JEE Main 2021 (Online) 26th August Evening Shift Physics - Capacitor Question 38 English

JEE Main 2021 (Online) 26th August Evening Shift Physics - Capacitor Question 38 English

$${{{\varepsilon _0}A} \over d}\left( {{1 \over 2} + {{{K_1}{K_2}} \over {{K_1} + {K_2}}}} \right)$$

$${{{\varepsilon _0}A} \over d}\left( {{1 \over 2} + {{{K_1}{K_2}} \over {2({K_1} + {K_2})}}} \right)$$

$${{{\varepsilon _0}A} \over d}\left( {{1 \over 2} + {{{K_1} + {K_2}} \over {{K_1}{K_2}}}} \right)$$

$${{{\varepsilon _0}A} \over d}\left( {{1 \over 2} + {{2({K_1} + {K_2})} \over {{K_1}{K_2}}}} \right)$$

JEE Main 2021 (Online) 26th August Morning Shift

MCQ (Single Correct Answer)

-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)

9.0 $$\mu$$A

9.0 mA

0.9 mA

0.9 $$\mu$$A

JEE Main 2021 (Online) 27th July Evening Shift

MCQ (Single Correct Answer)

-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) $$\to$$ (iii), (b) $$\to$$ (ii), (c) $$\to$$ (iv), (d) $$\to$$ (i)

(a) $$\to$$ (iii), (b) $$\to$$ (iv), (c) $$\to$$ (ii), (d) $$\to$$ (i)

(a) $$\to$$ (iv), (b) $$\to$$ (ii), (c) $$\to$$ (iii), (d) $$\to$$ (i)

(a) $$\to$$ (iv), (b) $$\to$$ (iii), (c) $$\to$$ (ii), (d) $$\to$$ (i)

JEE Main 2021 (Online) 27th July Morning Shift

MCQ (Single Correct Answer)

-1

JEE Main 2021 (Online) 27th July Morning Shift Physics - Capacitor Question 42 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]

1.44 $$\times$$ 10^$$-$$4 s

3.33 $$\times$$ 10^$$-$$4 s

0.69 $$\times$$ 10^$$-$$4 s

0.30 $$\times$$ 10^$$-$$4 s

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