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1
JEE Main 2022 (Online) 29th June Morning Shift
MCQ (Single Correct Answer)  +4  -1
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For a series LCR circuit, I vs $$\omega$$ curve is shown :

(a) To the left of $$\omega$$r, the circuit is mainly capacitive.

(b) To the left of $$\omega$$r, the circuit is mainly inductive.

(c) At $$\omega$$r, impedance of the circuit is equal to the resistance of the circuit.

(d) At $$\omega$$r, impedance of the circuit is 0.

Choose the most appropriate answer from the options given below :

A
(a) and (d) only.
B
(b) and (d) only.
C
(a) and (c) only.
D
(b) and (c) only.
2
JEE Main 2022 (Online) 28th June Evening Shift
MCQ (Single Correct Answer)  +4  -1
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An EM wave propagating in x-direction has a wavelength of 8 mm. The electric field vibrating y-direction has maximum magnitude of 60 Vm$$-$$1. Choose the correct equations for electric and magnetic fields if the EM wave is propagating in vacuum :

A

$${E_y} = 60\sin \left[ {{\pi \over 4} \times {{10}^3}(x - 3 \times {{10}^8}t)} \right]\widehat j\,\,V{m^{ - 1}}$$

$${B_z} = 2\sin \left[ {{\pi \over 4} \times {{10}^3}(x - 3 \times {{10}^8}t)} \right]\widehat k\,\,T$$

B

$${E_y} = 60\sin \left[ {{\pi \over 4} \times {{10}^3}(x - 3 \times {{10}^8}t)} \right]\widehat j\,\,V{m^{ - 1}}$$

$${B_z} = 2 \times {10^{ - 7}}\sin \left[ {{\pi \over 4} \times {{10}^3}(x - 3 \times {{10}^8}t)} \right]\widehat k\,\,T$$

C

$${E_y} = 2 \times {10^{ - 7}}\sin \left[ {{\pi \over 4} \times {{10}^3}(x - 3 \times {{10}^8}t)} \right]\widehat j\,\,V{m^{ - 1}}$$

$${B_z} = 60\sin \left[ {{\pi \over 4} \times {{10}^3}(x - 3 \times {{10}^8}t)} \right]\widehat k\,\,T$$

D

$${E_y} = 2 \times {10^{ - 7}}\sin \left[ {{\pi \over 4} \times {{10}^4}(x - 4 \times {{10}^8}t)} \right]\widehat j\,\,V{m^{ - 1}}$$

$${B_z} = 60\sin \left[ {{\pi \over 4} \times {{10}^4}(x - 4 \times {{10}^8}t)} \right]\widehat k\,\,T$$

3
JEE Main 2022 (Online) 27th June Evening Shift
MCQ (Single Correct Answer)  +4  -1
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If L, C and R are the self inductance, capacitance and resistance respectively, which of the following does not have the dimension of time?

A
RC
B
$${L \over R}$$
C
$$\sqrt{LC}$$
D
$${L \over C}$$
4
JEE Main 2022 (Online) 27th June Evening Shift
MCQ (Single Correct Answer)  +4  -1
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Given below are two statements :

Statement I : A time varying electric field is a source of changing magnetic field and vice-versa. Thus a disturbance in electric or magnetic field creates EM waves.

Statement II : In a material medium, the EM wave travels with speed $$v = {1 \over {\sqrt {{\mu _0}{ \in _0}} }}$$. In the light of the above statements, choose the correct answer from the options given below.

A
Both Statement I and Statement II are true
B
Both Statement I and Statement II are false
C
Statement I is correct but Statement II is false
D
Statement I is incorrect but Statement II is true
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