An expression for oscillating electric field in a plane electromagnetic wave is given as E_{z} = 300 sin(5$$\pi$$ $$\times$$ 10^{3}x $$-$$ 3$$\pi$$ $$\times$$ 10^{11}t) Vm^{$$-$$1}

Then, the value of magnetic field amplitude will be :

(Given : speed of light in Vacuum c = 3 $$\times$$ 10^{8} ms^{$$-$$1})

In series RLC resonator, if the self inductance and capacitance become double, the new resonant frequency (f_{2}) and new quality factor (Q_{2}) will be :

(f_{1} = original resonant frequency, Q_{1} = original quality factor)

For a series LCR circuit, I vs $$\omega$$ curve is shown :

(a) To the left of $$\omega$$_{r}, the circuit is mainly capacitive.

(b) To the left of $$\omega$$_{r}, the circuit is mainly inductive.

(c) At $$\omega$$_{r}, impedance of the circuit is equal to the resistance of the circuit.

(d) At $$\omega$$_{r}, impedance of the circuit is 0.

Choose the most appropriate answer from the options given below :

An EM wave propagating in x-direction has a wavelength of 8 mm. The electric field vibrating y-direction has maximum magnitude of 60 Vm^{$$-$$1}. Choose the correct equations for electric and magnetic fields if the EM wave is propagating in vacuum :