List of practice Questions

If the focal length of a lens of a camera is $5 f$ and that of another is $2.5\, f$, what is the time of exposure for the second, if for the first one is $\frac{1}{200}$ s? (where $f$ is focal length/unit aperture)

Two planets are revolving around the earth with velocities $v_{1}$ and $v_{2}$ and in radii $r_{1}$ and $r_{2}$ $\left(r_{1} > r_{2}\right)$ respectively. Then :

The angular momentum of a rotating body changes from $A_{0}$ to $4 A_{0}$ in $4$ minutes. The torque acting on the body is :

The equation of stationary wave along a stretched string is given by $y=5\, \sin \frac{\pi x}{3} \cos 40\, \pi t$, where, $x$ and $y$ are in $cm$ and $t$ in second. The separation between two adjacent nodes is :

A perfect gas is found to obey the relation $P V^{3 / 2}=$ constant during an adiabatic process. If such a gas initially at a temperature $T$, is compressed to half of its initial volume, then its final temperature will be :

Which of the following is not an inelastic collision?

A force $F$ is given by $F=a t+ b t^{2}$, where, $t$ is time. What are the dimensions of $a$ and $b$ ?

Which of the following is used as antitranspirant ?

White light is incident on one of the refracting surfaces of a prism of angle $5^\circ$. If the refractive indices for red and blue colours are $1.641$ and $1.659$ respectively, the angular separation between these two colours when they emerge out of the prism is

The unit of Stefan's constant is

The mass of glucose that should be dissolved in $50\, g$ of water in order to produce the same lowering of vapour pressure as is produced by dissolving $1\, g$ of urea in the same quantity of water is

The decomposition of a certain mass of $CaCO_3$ gave $11.2\, dm^3$ of $CO_2$ gas at $STP$. The mass of $KOH$ required to completely neutralise the gas is

The brown ring test for nitrates depends on

Glucose contains in addition to aldehyde group

An example for autocatalysis is

If $a, b$ and $c \in N$ which one of the following is not true ?

Liquor ammonia bottles are opened only after cooling. This is because

When a charged particle moving with velocity $\vec{v}$ is subjected to a magnetic field of induction $\vec{B}$, the force on it is non-zero. This implies the :-

The graph between object distance u and image distance v for a lens is given below. The focal length of the lens is

If $2A+3B =\begin{bmatrix} {2}&{-1} &{4}\\ {3}&{2}& {5} \\ \end{bmatrix} $ and $A+2B \begin{bmatrix} {5}&{0} &{3}\\ {1}&{6}& {2} \\ \end{bmatrix} $then $B =$

The equivalent resistance between the points P and Q in the network shown in the figure is given by:

Some physical constants are given in List 1 and their dimensional formulae are given in List 2.Match the correct pairs in the lists:

Which is not the unit of electric field?

Which of the following rays can be polarised?

Quantum nature can prove :