A circular loop of conducting wire is placed near a current carrying wire as shown in the figure. Both are in the same plane. If the current flowing through the wire is suddenly increased.

A metallic wire of resistance \( R \) and resistivity \( \rho \) is cut into six equal parts. Now each part is stretched to six times its length. The new resistance and resistivity of each part will be :

The refractive index of the material of a prism is \( \sqrt{2} \) and angle of prism is \( 30^{\circ} \). One of the two refracting surface of the prism is made a mirror inwards, by silver coating at outer surface. A beam of monochromatic light entering the prism from the other face will retrace its path (after reflection from the silvered surface) if its angle of incidence on the prism is:

A current of 10 A in primary of a circuit is reduced to zero at a uniform rate in \( 10^{-3} \text{ s.} \) If coeff. of mutual inductance is 3 H, the induced emf in the secondary would be :

Light of wavelength 300 nm is used in an experiment on photoelectric effect with lithium having a work function of 2.7 eV. The maximum kinetic energy of ejected photo-electrons will be

The magnetic flux through a coil placed in a magnetic field is given by \( \phi = 5t^3 + 4t^2 + 2t - 5 \) Wb The resistance of the coil is 10 \( \Omega \). The induced current through the coil at \( t = 2 \) s is :

A conducting wire of length 0.1 m and mass \( 3 \times 10^{-3} \text{ kg} \), carrying a current of 5 A is suspended freely in a horizontal direction in a uniform magnetic field. The magnitude of magnetic field perpendicular to the length of conductor is:

Match the properties given in list-l with the metals given in list-ll

List-I (Property)	List-II (Metal)
(A) Element with highest second ionization enthalpy	(I) Co
(B) Element with highest heat of atomisation	(II) Cu
(C) M in \(M(\mathrm{CO})_6\)	(III) Zn
(D) Element with highest third ionization enthalpy	(IV) Cr

Choose the correct answer from the options given below:

Read the following paragraph carefully and answer the given questions.
In the year 1963 the two enzymes responsible for restricting the growth of bacteriophage in E. coli were isolated. The first restriction endonuclease - Hind II, whose functioning depended on a specific DNA nucleotide sequence was characterized five years later. It was found that Hind II always cut DNA molecules at a particular point by recognizing a specific sequence of six base pairs. This specific base sequence is known as the recognition sequence for Hind II. Besides Hind II, today we know more than 900 restriction enzymes that have been isolated from over 230 strains of bacteria, each of which recognize different recognition sequences.
Restriction enzymes are also known as

Choose the correct statements from the following:
(A) Electromagnetic waves do not follow the principle of superposition.
(B)The variations in the electric field and in the magnetic field of electromagnetic waves, if any, never happen simultaneously.
(C) Electromagnetic waves are produced by accelerated charges
(D) The energy of electromagnetic waves is divided equally into electric and magnetic field vectors.
Choose the correct answer from the options given below:

Which phenomena proves the particle nature of photon?

Read the Passage carefully and answer the Questions
Kinetic studies not only help us to determine the rate of a chemical reaction but also describe the conditions by which the reaction rates can be altered.
The factors such as concentration, temperature, pressure and catalyst affect the rate of a reaction.
The speed of a reaction or the rate of a reaction can be defined as the change in concentration of a reactant or product in unit time.
Rate \(=k[A]^x[B]^y\)
Here \(k\) is the rate constant
\(z+y\) gives the overall order of a reaction, whereas \(z\) and \(y\) represent the order with respect to the reactants \(A\) and \(B\), respectively.
The order of a reaction which does not exist is:

A cube of side \( a \) has a charge \( Q \) at each of its vertices. What is the potential due to this charge array at the centre of the cube?