What will be the energy required to remove the electron from the first excited state of \( Li^{++} \), if the ground state energy of the electron in a hydrogen atom is -13.6 eV?

The phase difference between two points A and B on a given wavefront separated by distance \(\lambda\) is :

A solenoid with \(2\times 10^4\) turns per meter, diameter 0.1 m, has a coil of 100 turns and 0.01 m radius placed inside. If solenoid current decreases from 4 A to 0 in 0.05 s, total charge through coil is :

The speed of light in a medium depends on:

An unpolarised light of intensity \( I_0 \) passes through five identical polarisers arranged in such a manner that the transmission axis of each is set at an angle of 30° with respect to its predecessor. The ratio of the intensity of the final emerging light to that of the unpolarised light is

A cell of emf E and internal resistance r gives current of 0.5 A with external resistance of 12 \(\Omega\) and a current of 0.25 A with an external resistance 25 \(\Omega\). What is the value of internal resistance?

When a dielectric slab is introduced in between the plates of a charged capacitor with battery connected across the plates, following are the observations. Choose which observation is incorrect?

Three varieties A, B and C of rice are mixed together in the ratio 1:1:3 respectively. The price of rice A is Rs 127 per kg and that of rice B is Rs 135 per kg. If the price of the mixture is Rs. 152 per kg, then the price per kg of rice of type C is :

\(A=\left[\begin{array}{lll}0 & 1 & 3 \\ 1 & 2 & x \\ 2 & 3 & 1\end{array}\right]\)
\(A^{-1}=\left[\begin{array}{ccc}\frac{1}{2} & -4 & \frac{5}{2} \\ -\frac{1}{2} & 3 & -\frac{3}{2} \\ \frac{1}{2} & y & \frac{1}{2}\end{array}\right]\)
Find the value of \(8 x+5 y\)

Which one of the following hormones is responsible for ovulation?

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:

Match List I with List II

LIST - I (compound)	LIST - II (Hybridization & Geometry)
A. \(X e F_6\)	I. \(sp^3d^3 \text{ distorted octahedral}\)
B. \(XeO _3\)	II. \(sp^3d^2 \text{ square planar}\)
C. \(X e O F_4\)	III. \(sp^3\text{ pyramidal }\)
D. \(X e F_4\)	IV. \(sp^3d^2 \text{ square pyramidal}\)

Choose the correct answer from the options given below

The effective rate per annum equivalent to a nominal rate of \(8 \%\) compounded semi-annually is