A parallel plate capacitor having plate area 200 \( cm^2 \) and separation 2.0 mm holds a charge of \( 0.06\mu C \) on applying a potential difference of 60 V. The dielectric constant of the material filled in between the plates is.
Given permittivity of the vaccum \(\epsilon_0=8.85 \times 10^{-12} F / m \))

The dipole moment of a circular loop carrying a current I is m and the magnetic field at the centre of the loop is \( B_1 \). When the dipole moment is made three times by keeping the current I same, the magnetic field at the centre of the loop becomes \( B_2 \). The ratio of \( B_1 \) and \( B_2 \) is:

A substance, when placed in a magnetic field acquires feeble magnetization in a direction opposite to the applied field, is

Radiation of frequency \(2 v_0\) incident on a metal with threshold frequency \(v_0\) results in maximum kinetic energy of photoelectrons as :

The radius of the arc BD representing a wire is 60 cm. The magnitude of the magnetic field produced at centre C, if a current of 3.0 A flows in the wire, will be:

A 10 pF capacitor is connected to a 24 V battery. The electrostatic energy stored in the capacitor is:

A plane electromagnetic wave of frequency 25 GHz is propagating in vacuum along the z-direction. At a particular point in space and time, the magnetic field is given by a value \(5 \times 10^{-8} \text{ T}\) along Y-direction. The corresponding electric field is (speed of light \(c = 3 \times 10^8 \text{ m/s}\))

In a coil of self inductance 10 H, the rate of change of current is \( 4 \text{ A s}^{-1} \). The electromotive force (emf) induced in the coil will be

Reaction of nitrous acid with aliphatic primary amine in cold gives.

Answer the following questions feom the diagram given below :-

The samples in different lanes are from different sources but treated with a common restriction endonuclease. The maximum number of restriction sites are present in

Answer the question on basis of passage given below :
Lyophobic sols like those of metals (Au, Ag, etc) are unstable and are easily precipitated by addition of electrolytes. However, it is observed that the addition of certain lyophilic colloids like gums, soaps, gelatine, etc. to lyophobic colloids (like a metal sol) render lyophobic colloids difficult to coagulate by the addition of electrolytes. The process is known as 'protection' and the lyophilic colloids are termed as Protective colloids. It is believed that the protective action of the lyophilic colloids is due to the covering up of the particles of the lyophobic colloid by those of the lyophilic colloid.
Evidently, smaller the gold number of a protective colloid, the greater is its protective action.
Which of the following does not form a lyophilic colloid?

Disturbance in the value of allele frequency in Hardy Weinberg equilibrium is directly proportional to the:

A rod of 20 cm lying along the horizontal East-West direction falls freely from the roof of a building of height 3 m. If the horizontal component of the Earth's magnetic field is 0.36 G over the region, find the magnitude of Induced emf when it reaches the bottom of the building (take \( g = 10 \text{ m/s}^2 \) at that place)