List of practice Questions

A box contains $2$ black, $4$ white and $3$ red balls. One ball is drawn at random from the box and kept aside. From the remaining balls in the box, another ball is drawn at random and kept beside the first. The process is repeated, find the probability that the balls drawn are in the sequence of $2$ black, $4$ white and $3$ red.
A box of T L-capacity ls'divided into two equal compartments by a thin partition which are filled with 2 g $H_2$ and 16 g $CH_4$ respectively. The pressure in compartment filled with $H_2$ is recorded as P atm. The total pressure when partition is removed will be
A body under three concurrent forces is in equilibrium. The resultant of any two forces
A bomb is dropped from an aeroplane flying horizontally with uniform speed. The path of the bomb is
A bomb of 12 kg explodes into two pieces of masses 4 kg and 8 kg. The velocity of 8 kg mass is $6 ms^{-1}$. The kinetic energy of the other mass is
A book is lying on the table. What is the angle between the action of the book on the table and the reaction of the table on the book?
A body starting with a velocity 'v' returns to its initial position after 't' second with the same speed, alone the same line acceleration of the particle is
A body travels for 15 seconds starting from rest with constant acceleration. If it travels distances $S_1,\, S_2$ and $S_3$ in the first five seconds, second five seconds and next five seconds respectively, then the relation between $S_1,\, S_2$ and $S_3$ is
A body travels uniformly a distance of $(13.8 ? 0.2)\, m$ in a time $(4.0 ? 0.3) \,s$. Its velocity with error limits is
A body starting from rest moving with uniform acceleration has a displacement of 16 m in first 4 s and 9 m in first 3 s. The acceleration of the body is
A body of mass $M$ is dropped from a height $h$ on a sand floor. If the body penetrates $x\, cm$ into the sand, the average resistance offered by the sand to the body is
A body of mass 6 kg is acted upon by a force which causes a displacement in it given by x =$\frac{t^2}{4}$ metre, where $t$ is the time in second. The work done by the force in 2 s is
A body of mass 2 kg, initially at rest, is moved by 3 m along the horizontal by a force of 10 N acting at an angle of $60^?$ with the horizontal. The kinetic energy gained by the body is
A body of mass $2\, kg$ travels according to the law $x\left(t\right)$ $=pt+qt^{2}+rt^{3}$ where $p=3 \,ms^{-1}$, $q=4\,ms^{-2}$ and $r=5 \,ms^{-3}$. The force acting on the body at $t=2$ seconds is
A body moves $6\,m$ north, $8\,m$ east and $10\,m$ vertically upwards, the resultant displacement from its initial position is
A body moving with uniform velocity is in equilibrium.
A body is released from the top of the tower H metre high. It takes t second to reach the ground. Where is the body after t/2 second of release ?
A body is rotating with angular velocity $\overrightarrow{\omega}=\left(3\hat{i}-4\hat{j}+\hat{k}\right)$. The linear velocity of a point having position vector $\overrightarrow{r}=\left(5\hat{i}-6\hat{j}+6\hat{k}\right)$ is
A body is moving under the action of two forces $\vec{F}_{1}$ $=2 \hat{i}$ $-5 \hat{j} ;$ $\vec{F}_{2}$ $=3 \hat{i}$ $-4 \hat{j}.$ Its velocity will become uniform under a third force $\vec{F}_{3}$ given by
A body is moving in a circular path with a constant speed. it has
A body is just floating on the surface of liquid. The density of the body is same as that of the liquid. The body is slightly pushed down. Then it will
A body is imparted motion from rest to move in a straight line. If it is then obstructed by an opposite force then
A body from height $h$ is dropped. If the coefficient of restitution is $e$, then calculate the height achieved after one bounce
A body is dropped from the roof of a multi storeyed building. It passes the ceiling of the 15th storey at a speed of $20/m s^{-1}$ .If the height of each storey is 4m, the number of storeys In the building is (take $g = 1 0/ms^{-2}$ and neglect air resistance)
A body is falling freely under the action of gravity alone in vacuum. Which of the following quantities remain constant during the fall?