An $$\alpha$$ particle and a proton are accelerated from rest by a potential difference of 200V. After this, their de Broglie wavelengths are $$\lambda$$_$$\alpha$$ and $$\lambda$$_p respectively. The ratio $${{{{\lambda _p}} \over {{\lambda _\alpha }}}}$$ is :

The angular frequency of alternating current in a L-C-R circuit is 100 rad/s. The components connected are shown in the figure. Find the value of inductance of the coil and capacity of condenser.

Magnetic fields at two points on the axis of a circular coil at a distance of 0.05 m and 0.2 m from the centre are in the ratio 8 : 1. The radius of coil is ________.

Match List - I with List - II :

	List I		List II
(a)	h (Planck's constant)	(i)	$$[ML{T^{ - 1}}]$$
(b)	E (kinetic energy)	(ii)	$$[M{L^2}{T^{ - 1}}]$$
(c)	V (electric potential)	(iii)	$$[M{L^2}{T^{ - 2}}]$$
(d)	P (linear momentum)	(iv)	$$[M{L^2}{I^{ - 1}}{T^{ - 3}}]$$

Choose the correct answer from the options given below :