NEET UG Physics — Mechanics previous year questions with solutions.
On a frictionless surfaces, a block of mass $\text{M}$ moving at speed $v$ collides elastically with another block of same mass $\text{M}$ which is initially at rest. After collision the first block moves at an angle $\theta$ to its initial direction and has a speed $\frac{v}{3}$ . The second block's speed after the collision is:
A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the earth. Then,
Kepler's third law states that the square of the period of revolution $\text{(T)}$ of a planet around the sun is proportional to the third power of the average distance $\text{r}$ between sun and planet i.e., ${T}^{2}=K{r}^{3}$. Here $\text{K}$ is constant. If the masses of sun and planet are $\text{M}$ and $\text{m}$ respectively then as per Newton's law of gravitation force of attraction between them is $F=\frac{GMm}{{r}^{2}}$, here $\text{G}$ is gravitational constant. The relation between $\text{G}$ and $\text{K}$ is described as:
A particle undergoes a one-dimensional motion such that its velocity varies according to $v(x)=\beta {x}^{-2n}$, where $\beta$ and $\text{n}$ are constants and $x$ is the position of the particle. The acceleration of the particle as a function of $x$ is given by
The approximate depth of an ocean is $\text{2700 m}$ . The compressibility of water is $45.4\times {10}^{-11} P{a}^{-1}$ and density of water is ${10}^{3}$ ${\text{kg/m}}^{3}$. What fractional compression of water will be obtained at the bottom of the ocean ?
A projectile is fired from the surface of the earth with a velocity of $5 m{s}^{-1}$ and angle $\theta$ with the horizontal. Another projectile fired from another planet with a velocity of $3 {ms}^{-1}$ at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is: (given $=9.8 m{s}^{-2}$)
The ratio of the acceleration for a solid sphere (mass $‘m'$ and radius $R)$ rolling down an incline of angle $‘\theta '$ without slipping and slipping down the incline without rolling is:
If force $(F),$velocity $(V)$ and time $(T)$ are taken as fundamental units, the dimensions of mass are
A certain number of spherical drops of a liquid of radius $r$ coalesce to form a single drop of radius $R$ and volume $V.$ If $T$ is the surface tension of the liquid then:
A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius would earth $(mass=5.98\times {10}^{24}kg)$ have to be compressed to be a black hole?
Dependence of intensity of gravitational field $(E)$ of earth with distance $(r)$ from centre of earth is correctly represented by:
A solid cylinder of mass $50 kg$ and radius $0.5 m$ is free to rotate about horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of $2$ revolutions ${s}^{-2}$
Copper of fixed volume $V$ is drawn into wire of length $l$. When this wire is subjected to a constant force $F,$ the extension produced in the wire is $\Delta l.$ Which of the following graph is a straight line?
A system consists of three masses ${m}_{1},{m}_{2}$ and ${m}_{3}$ connected by a string passing over a pulley $P.$ The mass ${m}_{3}$ hangs freely and ${m}_{2}$ and ${m}_{1}$ are on a rough horizontal table (the coefficient of friction $=\mu ).$ The pulley is frictionless and of negligible mass. The downward acceleration of mass ${m}_{3}$ is: (Assume ${m}_{1}={m}_{2}={m}_{3}=m)$ 
The force $‘F'$ acting on a particle of mass $‘m'$ is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from zero to $8 s$ is: 
A particle is moving such that its position coordinates $(x, y)$ are $(2m, 3m)$ at time $t=0,$ $(6m, 7m)$ at time $t=2s$ and $(13m, 14m)$ at time $t=5s$. The average velocity vector $({\vec{V}}_{av})$ from $t=0$ to $t=5 s$ is:
A balloon with mass $m$ is descending down with an acceleration $a$ (where $a<g).$ How much mass should be removed from it so that it starts moving up with an acceleration $a$?
A body of mass $(4m)$ is lying in $x$ - $y$ plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass $(m)$ move perpendicular to each other with equal speeds $(\upsilon ).$ The total kinetic energy generated due to explosion is:
In the ratio of diameters, lengths and Young's modulus of steel and copper wires shown in the figure are $p, q$ and $s$ respectively, then the corresponding ratio of increase in their length would be:
The upper half of an inclined plane of inclination $\theta$ is perfectly smooth while lower half is rough. A block starting from rest at the top of the plane will again come to rest at the bottom, if the coefficient of friction between the block and lower half of the plane is given by
A particle with total energy $E$ is moving in a potential energy region $U(x)$. Motion of the particle is restricted to the region when:
A $\operatorname{rod} P Q$ of mass $M$ and length $L$ is hinged at end $P$. The rod is kepts horizontal by a massless string tied to point $Q$ as shown in figure. When string is cut, the initial angular acceleration of the rod is 
In an experiment four quantities $a, b, c$ and $d$ are measured with percentage error $1 \%, 2 \%, 3 \%$ and $4 \%$ respectively. Quantity $P$ is calculated as follows $P=\frac{a^3 b^2}{c d} \%$, Error in $P$ is
A person holding a rifle (mass of person and rifle together is $100 \mathrm{~kg}$ ) stands on a smooth surface and fires 10 shots horizontally, in $5 \mathrm{~s}$. Each bullet has a mass of $10 \mathrm{~g}$ with a muzzle velocity of $800 \mathrm{~ms}^{-1}$. The final velocity acquired by the person and the average force exerted on the person are: