1
JEE Main 2022 (Online) 30th June Morning Shift
Numerical
+4
-1

A series LCR circuit with $$R = {{250} \over {11}}\,\Omega$$ and $${X_L} = {{70} \over {11}}\,\Omega$$ is connected across a 220 V, 50 Hz supply. The value of capacitance needed to maximize the average power of the circuit will be _________ $$\mu$$F. (Take : $$\pi = {{22} \over 7}$$)

2
JEE Main 2022 (Online) 29th June Evening Shift
Numerical
+4
-1 An inductor of 0.5 mH, a capacitor of 200 $$\mu$$F and a resistor of 2 $$\Omega$$ are connected in series with a 220 V ac source. If the current is in phase with the emf, the frequency of ac source will be ____________ $$\times$$ 102 Hz.

3
JEE Main 2022 (Online) 29th June Morning Shift
Numerical
+4
-1 The intensity of the light from a bulb incident on a surface is 0.22 W/m2. The amplitude of the magnetic field in this light-wave is ______________ $$\times$$ 10$$-$$9 T.

(Given : Permittivity of vacuum $$\in$$0 = 8.85 $$\times$$ 10$$-$$12 C2 N$$-$$1-m$$-$$2, speed of light in vacuum c = 3 $$\times$$ 108 ms$$-$$1)

4
JEE Main 2022 (Online) 28th June Evening Shift
Numerical
+4
-1 In the given circuit, the magnitude of VL and VC are twice that of VR. Given that f = 50 Hz, the inductance of the coil is $${1 \over {K\pi }}$$ mH. The value of K is ____________. JEE Main Subjects
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