1
JEE Main 2021 (Online) 31st August Evening Shift
Numerical
+4
-1
At very high frequencies, the effective impendence of the given circuit will be ________________ $$\Omega$$.

2
JEE Main 2021 (Online) 31st August Morning Shift
Numerical
+4
-1
The electric field in an electromagnetic wave is given by E = (50 NC$$-$$1) sin$$\omega$$ (t $$-$$ x/c)

The energy contained in a cylinder of volume V is 5.5 $$\times$$ 10$$-$$12 J. The value of V is _____________ cm3. (given $$\in$$0 = 8.8 $$\times$$ 10$$-$$12C2N$$-$$1m$$-$$2)
3
JEE Main 2021 (Online) 27th August Evening Shift
Numerical
+4
-1
An ac circuit has an inductor and a resistor resistance R in series, such that XL = 3R. Now, a capacitor is added in series such that XC = 2R. The ratio of new power factor with the old power factor of the circuit is $$\sqrt 5 :x$$. The value of x is ___________.
4
JEE Main 2021 (Online) 27th August Morning Shift
Numerical
+4
-1
The alternating current is given by $$i = \left\{ {\sqrt {42} \sin \left( {{{2\pi } \over T}t} \right) + 10} \right\}A$$

The r.m.s. value of of this current is ................. A.
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