Assertion (A)When proton and a neutron enter into a transverse magnetic field with equal speeds, then they trace a circular paths of equal radii.
Reason (R) In a transverse magnetic field the period of revolution of a charged particle in a circular path is directly proportional to the mass of the particle.

A steady current flows in a long wire. It is bent into a circular loop of one turn and the magnetic field at the centre of the coil is \(B\). If the same wire is bent into a circular loop of \(n\) turns, the magnetic field at the centre of the coil is

If a body is projected with an angle \(\theta\) to the horizontal, then

The distance between the carbon atom and the oxygen atom in a carbon monoxide molecule is \(1.1 Å\). Given, mass of carbon atom is \(12 \mathrm{amu}\) and mass of oxygen atom is 16 amu. Calculate the position of the centre of mass of the carbon monoxide molecule.

Match the following lists.
\begin{array}{|c|c|c|c|}
\hline & List I & & List II \\
\hline A & \begin{array}{l}\text { Zeroth law of } \\
\text { thermodynamics }\end{array} & 1 & \begin{array}{l}\text { Direction of flow of } \\
\text { heat }\end{array} \\
\hline B & \begin{array}{l}\text { First law of } \\
\text { thermodynamics }\end{array} & \| & Work done is zero \\
\hline\underline{\mathrm{C}} & Free expansion of a gas & III & Thermal equilibrium \\
\hline D & \begin{array}{l}\text { Second law of } \\
\text { Thermodynamics }\end{array} & IV & \begin{array}{l}\text { Law of conservation } \\
\text { of energy }\end{array} \\
\hline
\end{array}
The correct answer is
\(\begin{array}{lccccccccc} & \text { A } & \text { B } & \text { C } & \text { D } \end{array}\)

The refracting angle of a prism is \(A\) and the refractive index of the material of the prism is \(\cot (A / 2)\). The angle of minimum deviation of the prism is

A ball is projected upwards from a height \(h\) above the surface of the earth with velocity \(v\). The time at which the ball strikes the ground is

How many amines with molecular formula \(\mathrm{C}_3 \mathrm{H}_9 \mathrm{~N}\) can react with benzene sulphonyl chloride?

If a random variable \(X\) has the probability distribution given by \(P(X=0)=3 C^3\), \(P(X=2)=5 C-10 C^2\) and \(P(X=4)=4 C-1\), then the variance of that distribution is

What is the $\mathrm{IUPAC}$ name of ${\mathrm{CH}}_3\mathrm{CH}\left({\mathrm{CH}}_2{\mathrm{CH}}_3\right)\mathrm{CHO}$?

The general solution of the differential equation \(\left(x \sin \frac{y}{x}\right) d y=\left(y \sin \frac{y}{x}-x\right) d x\) is

Assertion (A) Finely divided charcoal can act as an adsorbent.
Reason (R) Finely divided material has small surface area.

\(\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}\) are electromagnetic radiations. Frequencies of \(\mathrm{a}, \mathrm{b}\) are \(3 \times 10^{15} \mathrm{~Hz}\), \(2 \times 10^{14} \mathrm{~Hz}\), respectively, whereas wavelength of c, d are \(400 \mathrm{~nm}, 750 \mathrm{~nm}\), respectively. The increasing order of their energies is