1
JEE Main 2021 (Online) 26th February Morning Shift
+4
-1
An alternating current is given by the equation i = i1 sin $$\omega$$t + i2 cos $$\omega$$t. The rms current will be :
A
$${1 \over {\sqrt 2 }}{\left( {i_1^2 + i_2^2} \right)^{{1 \over 2}}}$$
B
$${1 \over {\sqrt 2 }}({i_1} + {i_2})$$
C
$${1 \over {\sqrt 2 }}{({i_1} + {i_2})^2}$$
D
$${1 \over 2}{\left( {i_1^2 + i_2^2} \right)^{{1 \over 2}}}$$
2
JEE Main 2021 (Online) 25th February Evening Shift
+4
-1
An LCR circuit contains resistance of 110$$\Omega$$ and a supply of 220 V at 300 rad/s angular frequency. If only capacitance is removed from the circuit, current lags behind the voltage by 45$$^\circ$$. If on the other hand, only inductor is removed the current leads by 45$$^\circ$$ with the applied voltage. The rms current flowing in the circuit will be :
A
1 A
B
2.5 A
C
2 A
D
1.5 A
3
JEE Main 2021 (Online) 25th February Evening Shift
+4
-1
Match List I with List II.

List I List II
(a) Rectifier (i) Used either for stepping up or stepping down the a.c. voltage
(b) Stabilizer (ii) Used to convert a.c. voltage into d.c. voltage
(c) Transformer (iii) Used to remove any ripple in the rectified output voltage
(d) Filter (iv) Used for constant output voltage even when the input voltage or load current change

Choose the correct answer from the options given below :
A
(a)-(ii), (b)-(iv), (c)-(i), (d)-(iii)
B
(a)-(iii), (b)-(iv), (c)-(i), (d)-(ii)
C
(a)-(ii), (b)-(i), (c)-(iv), (d)-(iii)
D
(a)-(ii), (b)-(i), (c)-(iii), (d)-(iv)
4
JEE Main 2021 (Online) 25th February Morning Shift
+4
-1
The angular frequency of alternating current in a L-C-R circuit is 100 rad/s. The components connected are shown in the figure. Find the value of inductance of the coil and capacity of condenser.

A
0.8 H and 150 $$\mu$$F
B
0.8 H and 250 $$\mu$$F
C
1.33 H and 150 $$\mu$$F
D
1.33 H and 250 $$\mu$$F
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