List of practice Questions

A body of mass $M$ hits normally a rigid wall with velocity $V$ and bounces back with the same velocity. The impulse experienced by the body is

A juggler keeps on moving four balls in the air throwing the balls after intervals. When one ball leaves his hand (speed = 20ms-1) the position of other balls (height in metre) will be (Take g = 10ms-2)

A particle of mass $m$ executes simple harmonic motion with amplitude a and frequency $n$. The average kinetic energy during its motion from the position of equilibrium to the end is.
A point object $O$ is placed in front of a glass rod having spherical end of radius of curvature $30\, cm$. The image would be formed at .
Amongst the elements with following electronic configurations, which one of them may have the highest ionization energy?
Arrange the following alcohols in increasing order of their reactivity towards the reaction with $HCl$. $\left( CH _{3}\right)_{2} CH - OH (1),\left( CH _{3}\right)_{3} C - OH (2),\left( C _{6} H _{5}\right)_{3} COH (3)$
At a place, if the earth's horizontal and vertical components of magnetic fields are equal, then the angle of dip will be
Beryllium shows diagonal relationship with aluminium. Which of the following similarity is incorrect ?
Chloroform, $CHCl _{3}$, boils at $61.7^{\circ} C$. If the $K_{b}$ for chloroform is $3.63^{\circ} C / molal$, what is the boiling point of a solution of $15.0\, kg$ of $CHCl _{3}$ and $0.616\, kg$ of acenaphthalene, $C _{12} H _{10}$ ?
Consider the equation of a parabola $y^2 + 4ax = 0$, where $a > 0$ which of the following is/are correct?
Consider the reactions (A) $H _{2} O _{2}+2 HI \longrightarrow I _{2}+2 H _{2} O$ (B) $HOCl + H _{2} O _{2} \longrightarrow H _{3} O ^{+}+ Cl ^{-}+ O _{2}$ Which of the following statements is correct about $H _{2} O _{2}$ with reference to these reactions? Hydrogen peroxide is ____
Eccentricity of ellipse $\frac{x^{2} }{a^{2}} + \frac{y^{2}}{b^{2}} = 1 $ if it passes through point $(9, 5)$ and $(12, 4)$ is
Electric potential at any point is $V = - 5x + 3y + \sqrt {15 z}, $then the magnitude of the electric field is
Following are colours shown by some alkaline earth metals in flame test. Which of the following are not correctly matched?
For the reaction taking place at certain temperature ${NH_2 COONH_4 (s) <=> 2NH_3 (g) + CO_2 (g) }$, if equilibrium pressure is 3X bar then $ \Delta_G$ would be
How many $\sigma$ bonds and $\pi$ bonds are present in
If $a, b, c$ are in G.P., then
If $A = \frac{1}{3} \begin{bmatrix}1&2&2\\ 2&1&-2\\ a&2&b\end{bmatrix} $ is an orthogonal matrix, then
If a stone of mass $0.05 \,kg$ is thrown out a window of a train moving at a constant speed of $100\, km/h$ then magnitude of the net force acting on the stone is
If $ \hat{i} + \hat{j}, \hat{j} + \hat{k}, \hat{i} + \hat{k}$ are the position vectors of the vertices of a triangle $ABC$ taken in order, then $\angle A$ is equal to
If the constraints in a linear programming problem are changed then
If the Planck?s constant $h = 6.6 \times 10^{-34} \, Js$, the de Broglie wavelength of a particle having momentum of $3.3 \times 10^{-24} \, kg \, ms^{-1}$ will be
If $V$ is the volume of one molecule of gas under given conditions, the van der Waal?s constant $b$ is
If $x > 0,$ the $ 1 + \frac{\log_{e^{2}}x}{1!} + \frac{\left(\log_{e^{2}}x\right)^{2}}{2!} + ....=$
In a binomial distribution, the mean is $4$ and variance is $3$. Then its mode is :