List of practice Questions

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

The condition for a uniform spherical mass $m$ of radius $r$ to be a black hole is : $[G=$ gravitational constant and $g=$ acceleration due to gravity]

From the top of a tower of two stones, whose masses are in the ratio $1 : 2$ are thrown on straight up with an initial speed $u$ and the second straight down with the same speed $u$. Then neglecting air resistance :

The tangents from a point $(2 \sqrt{2}, 1)$ to the hyperbola $16 x ^{2}-25 y ^{2}=400$ include an angle equal to.

The degree of the differential equation $y(x)=1 +\frac{dy}{dx}+\frac{1}{1.2}\left(\frac{dy}{dx}\right)^2+\frac{1}{1.2.3}\left(\frac{dy}{dx}\right)^3+.........$ is

The number of common tangents to circle $x^{2}+y^{2}+2 x+8 y-23=0$ and $x^{2}+y^{2}-4 x-10 y+9=0$, is.

Let $\alpha, \beta, \gamma$ and $\delta$ are four positive real number such that their product is unity, then the least value of $(1+\alpha)(1+\beta)(1+\gamma)(1+\delta)$ is:

The equation of plane passing through a point $A (2,-1,3)$ and parallel to the vectors $a =(3,0,-1)$ and $b =(-3,2,2)$ is: