A bullet of '4 g' mass is fired from a gun of mass 4 kg. If the bullet moves with the muzzle speed of 50 ms^$$-$$1, the impulse imparted to the gun and velocity of recoil of gun are :

Statement I : The ferromagnetic property depends on temperature. At high temperature, ferromagnet becomes paramagnet.

Statement II : At high temperature, the domain wall area of a ferromagnetic substance increases.

In the light of the above statements, choose the most appropriate answer from the options given below :

Match List - I with List - II

	List - I		List - II
(a)	$$\omega L > {1 \over {\omega C}}$$	(i)	Current is in phase with emf
(b)	$$\omega L = {1 \over {\omega C}}$$	(ii)	Current lags behind the applied emf
(c)	$$\omega L < {1 \over {\omega C}}$$	(iii)	Maximum current occurs
(d)	Resonant frequency	(iv)	Current leads the emf

Choose the correct answer from the options given below

A ray of light passes from a denser medium to a rarer medium at an angle of incidence i. The reflected and refracted rays make an angle of 90$$^\circ$$ with each other. The angle of reflection and refraction are respectively r and r'. The critical angle is given by