In the given circuit \( L = \frac{20}{\pi} \text{ H}, R = 2 \text{ k}\Omega \) and \( C = \frac{5}{\pi} \mu F \) are in series across a 220 V, 50 Hz ac source.

The peak voltage drop between A and B is:

Assume that an electric field \( (20\hat{i}) \text{ V m}^{-1} \) exists in the region of space. If \( V_0 \) is the potential at the origin and \( V_A \) is the potential at \( x = 1 \text{ m} \), then the potential difference \( V_A - V_0 \) is :

The electric field and magnetic field of a plane electromagnetic wave propagating in vacuum are expressed as
\(E_x=E_0 \sin (k z-\omega t)\)
\(B_y=B_0 \sin (k z-\omega t)\)
Which of the following statements are correct?
(A). The wave is propagating along the z- direction.
(B). The electric field Ex and magnetic field By are perpendicular to each other and perpendicular to the z direction.
(C) The electric and magnetic fields Ex and By are perpendicular to each other, and parallel to the direction of propagation.
(D) k is related to the wave length À of the wave by the usual equation \(k = A / 2 Tt\)
Choose the correct answer from the options given below:

An equiconvex lens has a focal length of 20 cm and its radius of curvature is 30 cm. Its refractive index is:

Why do light emitting diodes are preferred over conventional incandescent low power lamps?

A battery of emf 20 V and internal resistance \( 2 \, \Omega \) is connected to a resistor, if the current in the circuit is 1 A, find the terminal voltage of the battery.

Light with an energy flux of \( 18 \text{ W/cm}^2 \) falls at normal incidence on a non-reflecting surface of area \( 20 \text{ cm}^2 \). If the light falls for 30 minutes on the surface, find the total momentum delivered to the surface.

The speed of light in a material medium is given by :

The corner points of the bounded feasible region associated with the LPP: Maximize \(Z=p x+q y, p, q>0\) are (0, 0), (3.5, 0), \(\left(\frac{112}{59}, \frac{135}{59}\right)\) and (0,3). If the optimum value of Z occurs at both \(\left(\frac{112}{59}, \frac{135}{59}\right)\) and (0,3), then

Match List I with List II

LIST I	LIST II
A. Decomposition of \(\text{H}_2\text{O}_2\)	I. Second order reaction
B. Decomposition of \(\text{H}_2\) in the presence of Hg and light	II. Pseudo first order reaction
C. Hydrolysis of ester by alkali	III. First order reaction
D. Hydrolysis of ester in excess of acid	IV. Photosensitisation

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Actinoid contraction is of greater extent then lanthanide contraction because

Integrating factor of \(\frac{dy}{dx} + y \cot x = 2x + x^2 \cot x\) (\(x \neq 0\)) is:

Arrange the following ligands in increasing order of their field strength:
(A) SCN-
(B) F-
(C) H2O
(D) CO
Choose the correct answer from the options given below :