1
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.

2
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)

3
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 ____________.

4
JEE Main 2022 (Online) 28th June Morning Shift
Numerical
+4
-1

An AC source is connected to an inductance of 100 mH, a capacitance of 100 $$\mu$$F and a resistance of 120 $$\Omega$$ as shown in figure. The time in which the resistance having a thermal capacity 2 J/$$^\circ$$C will get heated by 16$$^\circ$$C is _____________ s.

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