What will be the expression for the energy of a photon of wavelength \(\lambda\) is:

The half-life of a given radioactive nucleus is 200 days. The mean life of this nucleus is

Frequencies in the UHF range normally propagate by means of :

Match List-I with List-II

List-I	List-II
(A) Maximum kinetic energy of photoelectron	(I) No emission of electrons
(B) Photoelectric current	(II) slope of kinetic energy of electron-frequency graph
(C) Frequency of radiation < threshold frequency	(III) independent of intensity
(D) Plank's constant	(IV) independent of frequency

A 200-turn coil of self-inductance 20 mH carries a current of 4 mA. The magnetic flux linked with each turn of the coil is:

An electron (mass \(9 \times 10^{-31} \text{ kg}\) and charge \(1.6 \times 10^{-19} \text{ C}\)) moving with a speed of \(5.0 \times 10^7 \text{ m/s}\) enters a region of uniform magnetic field of strength 0.04 T which is perpendicular to its velocity. The radius of the circular path it follows is:

An electron, an \( \alpha \)-particle, a proton and a neutron have the same kinetic energy. Which of these particles has the shortest de Broglie wavelength?

A ray of light is incident on an equilateral prism at an angle of 45° and is refracted parallel to the base of the prism. The angle of deviation would be

The interval in which the function \(g(x)=x^2 e^{-x}\) is increasing is :

The given graph shows the variation of terminal potential difference V, across the combination of three identical cells in series to an external resistor versus the current i in the circuit. The internal resistance of each cell is :

A compound forms hexagonal closed packed structure. What is the number of tetrahedral voids in \(0.8\text{ mol}\) of it?

Read the passage carefully and answer the questions.
Electrochemistry is the study involving two types of processes. One type involves the production of electricity from the energy released during a spontaneous chemical reaction. Galvanic cells like Daniel cells are used to produce electricity from the redox reaction. Nernst equation of a galvanic cell gives the relation between the standard cell potential and the concentration of the species involved in the redox reaction. The second type of study involves the cells in which electrical energy is used to bring about the chemical reactions in a non-spontaneous process. The conductance of electrolytic solution depends on many factors including the nature of the electrolyte and the dimensions of the electrolytic cell.
When KCl is dissolved in water, the Potassium ion is;

Match List I with List II

LIST I	LIST II
A. Phenylketonuria	I. Incomplete dominance
B. Haemophilia	II. 9:3:3:1
C. Snapdragon	III. Pleiotropy
D. Dihybrid cross	IV. Sex-linked

Choose the correct answer from the options given below: