List of practice Questions

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 :
Huygens wave theory cant explain:
Vector which is perpendicular to $ a\,\cos \,\theta \,\hat{i}+b\,\sin \,\theta \,\,\hat{j} $ is
A radioactive isotope has a half life of $10$ days. If today $125$ mg is left over, what was its original weight $40$ days earlier ?
A circular coil of $20$ turns and radius $10 \,cm$ is placed in uniform magnetic field of $ 0.10\,T $ normal to the plane of the coil. If the current in coil is $5 \,A$, then the torque acting on the coil will be
The projection of the vector $2\hat{i}+\hat{j}-3\hat{k}$ on the vector $\hat{i}-2\hat{j}-\hat{k}$ is
An automobile travelling at 50 km/h, can be stopped at a distance of 40 m by applying brakes. If the same automobile is travelling at 90 km/h, all other conditions remaining same and assuming no skidding, the minimum stopping distance in metres is: