List of practice Questions

In shown fig, the circular loop of wire is moved with velocity towards the infinite current carrying wire. Then

Two charges of equal amount +Q are placed on a line. Another charge q is placed at the mid-point of the line. The system will be in equilibrium if the value of q is

A micro-ammeter gives full scale deflection at 100 $\mu$A. Its resistance is 2k$\Omega$. The resistance required to convert it to a voltmeter reading 1V is

The increase in electrostatic potential energy of a dipole of moment p when it is taken from parallel to anti-parallel orientation in an electric field E is

If $PQ$ is a double ordinate of the hyperbola $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1$ such that $\Delta OPQ$ is equilateral, $O$ being the centre. Then the eccentricity e satisfies

If $A, B$ are two events such that $P\left(A\cup B\right) \ge \frac{3}{4}$ and $\frac{1}{8}\le P\left(A\cap B\right) \le\frac{3}{8}$ then

A particle of mass ????and carrying a charge ????enters with a velocity ????perpendicular to a uniform magnetic field. The time period of rotation of the particle

Let $R$ be a relation defined on the set $Z$ of all integers and $xRy$ when $x + 2y$ is divisible by $3$. Then

Standard Deviation of n observations $a_{1}, a_{2}, a_{3} ..... a_{n}$ is $\sigma$. Then the standard deviation of the observations $\lambda a_{1},\lambda a_{2}, .... \lambda a_{n}$ is

Amongst the following compounds, the one which would not form a white precipitate with ammonical silver nitrate solution is

Consider the following reaction: $6NaOH +3cl_{2} \to5Nacl +A+3H_{2}O$ What is the oxidation number of chlorine in A?

Pressure (P) vs. density (D) curve for an ideal gas at two different temperatures $T_{1} andT_{2}$ is shown below. Identify the correct statement about $T_{1}and T_{2}$:

The locus of the midpoints of all chords of the parabola $y^2 = 4ax$ through its vertex is another parabola with directrix

If a bar magnet of magnetic moment M is kept in a uniform magnetic field B, its time period of oscillation is T. In the same magnetic field, the time period of another magnet of same dimension and same mass but of moment M/4 is,

If$I_{1}$and$I_{2}$ be the sizes of real images for two positions of a convex lens between object and screen,then the size of the object is

The sum of n terms of the following series; $1^3 + 3^3 + 5^3 + 7^3 + ....$ is

Among the following groupings, which one represents the set of iso-electronic species?

Assign the Bravais lattice type of the following unit cell structure.

The correct IUPAC name of $H_{3}C-C\left(CH_{3}\right)_{2} -CH =CH_{2}$ is

Which one of the following does not produce $O_{2}$ as the only gaseous product on heating?

Which property that polyacetylene exhibits is unusual for an organic polymer?

Which structure for $XeO_{3} \, and XeF_{4}$ are consistent with the VSEPR model?

Hologram is based on phenomenon of

If $i_1 = 3 \, \sin \, \omega t$ and $i_2 = 4 \, \cos \, \omega t$, then $i_3$ is

For a current carrying inductor, emf associated is 20mV. Now, current through it changes from 6A to 2A in 2s. The coefficient of mutual inductance is