JEE Main Physics — Mechanics previous year questions with solutions.
Given below are two statements: Statement I: If$E$be the total energy of a satellite moving around the earth, then its potential energy will be $\frac{E}{2}$. Statement II: The kinetic energy of a satellite revolving in an orbit is equal to the half the magnitude of total energy $E$. In the light of the above statements, choose the most appropriate answer from the options given below.
The weight of a body on the surface of the earth is $100N$. The gravitational force on it when taken at a height, from the surface of earth, equal to one-fourth the radius of the earth is:
As per given figure, a weightless pulley $P$ is attached on a double inclined frictionless surface. The tension in the string (massless) will be (if $g=10m{s}^{-2}$) 
The position vector of a particle related to time $t$ is given by $\vec{r}=(10t\hat{i}+15{t}^{2}\hat{j}+7\hat{k})m$. The direction of net force experienced by the particle is :
Given below are two statements: Statement I : Rotation of the earth shows effect on the value of acceleration due to gravity $(g)$. Statement II : The effect of rotation of the earth on the value of $g$ at the equator is minimum and that at the pole is maximum. In the light of the above statements, choose the correct answer from the options given below
The height of liquid column raised in a capillary tube of certain radius when dipped in liquid $A$ vertically is, $5\mathrm{cm}$. If the tube is dipped in a similar manner in another liquid $B$ of surface tension and density double the values of liquid $A$, the height of liquid column raised in liquid B would be ______ $m$.
A metal block of mass $m$ is suspended from a rigid support through a metal wire of diameter $14\mathrm{mm}$. The tensile stress developed in the wire under equilibrium state is $7\times {10}^{5}N{m}^{–2}$. The value of mass $m$ is ______ $\mathrm{kg}$. (Take $g=9.8m{s}^{-2}$ and $\pi =\frac{22}{7}$)
The velocity-time graph of a body moving in a straight line is shown in figure.  The ratio of displacement and distance travelled by the body in time $0$ to $10s$ is
Under isothermal condition, the pressure of a gas is given by $P=a{V}^{–3},$ where $a$ is a constant and $V$ is the volume of the gas. The bulk modulus at constant temperature is equal to
A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to:
A $100m$ long wire having cross-sectional area $6.25\times {10}^{-4}{m}^{2}$ and Young's modulus is ${10}^{10}N{m}^{-2}$ is subjected to a load of $250N$, then the elongation in the wire will be :
An object moves with speed ${v}_{1},{v}_{2}\text{and}{v}_{3}$ along a line segment $AB,BC\text{and}CD$ respectively as shown in figure. Where $AB=BC\text{and}AD=3AB$, then average speed of the object will be : 
As shown in the figure, a particle is moving with constant speed $\pi m{s}^{-1}$. Considering its motion from $A$ to $B$, the magnitude of the average velocity is: 
The moment of inertia of a semicircular ring about an axis, passing through the center and perpendicular to the plane of ring, is$\frac{1}{x}{\mathrm{MR}}^{2}$, where $R$ is the radius and $M$ is the mass of the semicircular ring. The value of $x$ will be $_______$.
A lift of mass $M=500\mathrm{kg}$ is descending with speed of $2m{s}^{-1}$. Its supporting cable begins to slip thus allowing it to fall with a constant acceleration of $2m{s}^{-2}$. The kinetic energy of the lift at the end of fall through to a distance of $6m$ will be ______ $\mathrm{kJ}$.
Choose the correct relationship between Poisson ratio $(\sigma )$, bulk modulus $(K)$ and modulus of rigidity $(\eta )$ of a given solid object:
A light rope is wound around a hollow cylinder of mass $5\mathrm{kg}$ and radius $70\mathrm{cm}$. The rope is pulled with a force of $52.5N$. The angular acceleration of the cylinder will be _____ $\mathrm{rad}{s}^{-2}$.
A force is applied to a steel wire $A$, rigidly clamped at one end. As a result elongation in the wire is $0.2\mathrm{mm}$. If same force is applied to another steel wire $B$ of double the length and a diameter $2.4$ times that of the wire $A$, the elongation in the wire $B$ will be (wires having uniform circular cross sections)
A child of mass $5\mathrm{kg}$ is going round a merry-go-round that makes $1$ rotation in $3.14s$. The radius of the merry-go-round is $2m$. The centrifugal force on the child will be
A physical quantity $P$ is given as $P=\frac{{a}^{2}{b}^{3}}{c\sqrt{d}}$. The percentage error in the measurement of $a,b,c$ and $d$ are $1%,2%,3%$ and $4%$ respectively. The percentage error in the measurement of quantity $P$ will be
A particle starts with an initial velocity of $10.0{\mathrm{ms}}^{-1}$ along $x$-direction and accelerates uniformly at the rate of $2.0m{s}^{-2}$. The time taken by the particle to reach the velocity of $60.0m{s}^{-1}$ is _____.
When vector $\vec{A}=2\hat{i}+3\hat{j}+2\hat{k}$ is subtracted from vector $\vec{B}$, it gives a vector equal to $2\hat{j}$. Then the magnitude of vector $\vec{B}$ will be:
A spherical ball of radius $1\mathrm{mm}$ and density $10.5g{\mathrm{cc}}^{-1}$ is dropped in glycerine of coefficient of viscosity $9.8$ poise and density $1.5g{\mathrm{cc}}^{-1}$. Viscous force on the ball when it attains constant velocity is $3696\times {10}^{-x}N$. The value of $x$ is (Given, $g=9.8m{s}^{-2}\text{and}\pi =\frac{22}{7}$)
In the equation $[X+\frac{a}{{Y}^{2}}][Y-b]=RT,X$ is pressure, $Y$ is volume, $R$ is universal gas constant and $T$ is temperature. The physical quantity equivalent to the ratio $\frac{a}{b}$ is: