1
JEE Main 2021 (Online) 27th August Morning Shift
+4
-1
Electric field in a plane electromagnetic wave is given by E = 50 sin(500x $$-$$ 10 $$\times$$ 1010 t) V/m The velocity of electromagnetic wave in this medium is :

(Given C = speed of light in vacuum)
A
$${3 \over 2}$$C
B
C
C
$${2 \over 3}$$C
D
$${C \over 2}$$
2
JEE Main 2021 (Online) 26th August Evening Shift
+4
-1
In the given circuit the AC source has $$\omega$$ = 100 rad s-1. Considering the inductor and capacitor to be ideal, what will be the current I flowing through the circuit?

A
5.9 A
B
3.16 A
C
0.94 A
D
6 A
3
JEE Main 2021 (Online) 26th August Morning Shift
+4
-1
An inductor coil stores 64 J of magnetic field energy and dissipates energy at the rate of 640 W when a current of 8A is passed through it. If this coil is joined across an ideal battery, find the time constant of the circuit in seconds :
A
0.4
B
0.8
C
0.125
D
0.2
4
JEE Main 2021 (Online) 26th August Morning Shift
+4
-1
A series LCR circuit driven by 300 V at a frequency of 50 Hz contains a resistance R = 3 k$$\Omega$$, an inductor of inductive reactance XL = 250 $$\pi$$$$\Omega$$ and an unknown capacitor. The value of capacitance to maximize the average power should be : (Take $$\pi$$2 = 10)
A
4 $$\mu$$F
B
25 $$\mu$$F
C
400 $$\mu$$F
D
40 $$\mu$$F
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