JEE Main Physics — Mechanics previous year questions with solutions.
A small ball of mass $\mathrm{m}$ starts at a point $\mathrm{A}$ with speed $\mathrm{v}_{\mathrm{o}}$ and moves along a frictionless track $\mathrm{AB}$ as shown. The track $\mathrm{BC}$ has coefficient of friction $\mu$. The ball comes to stop at $\mathrm{C}$ after travelling a distance $L$ which is: 
A block of mass $m$ is placed on a surface with a vertical cross section given by $y=\frac{{x}^{3}}{6}$. If the coefficient of friction is $0.5$, the maximum height above the ground at which the block can be placed without slipping is
A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it ?
 In an experiment to determine the gravitational acceleration $g$ of a place with the help of a simple pendulum, the measured time period squared is plotted against the string length of the pendulum in the figure. What is the value of $g$ at the place?
India's Mangalyan was sent to the Mars by launching it into a transfer orbit EOM around the sun. It leaves the earth at $E$ and meets Mars at $M$. If the semi-major axis of Earth's orbit is ${\text{a}}_{\text{e}} = \text{1.5} \times 1 {0}^{ 1 1 } \text{m}$ , that of Mar's orbit ${\text{a}}_{\text{m}} = \text{2.28} \times 1 {0}^{ 1 1 } \text{m}$, taking Kepler's laws, give the estimate of time for Mangalyan to reach Mars from Earth. 
A person climbs up a stalled escalator in $60 \mathrm{~s}$. If standing on the same but escalator running with constant velocity he takes $40 \mathrm{~s}$. How much time is taken by the person to walk up the moving escalator?
The position of a projectile launched from the origin at t = 0 is given by $\vec{\text{r}} = ( 4 0 \hat{ i } + 5 0 \hat{ j } ) \text{m}$ at t = 2s. If the projectile was launched at an angle $\theta$ from the horizontal, then $\theta$ is (take g = 10 ms$^{-2}$).
There is a circular tube in a vertical plane. Two liquids which do not mix and of densities d$_{1}$ and d$_{2}$ are filled in the tube. Each liquid subtends 90$^{o}$ angle at centre. Radius joining their interface makes an angle $\alpha$ with vertical. Ratio $\frac{{\text{d}}_{1}}{ }$ is : 
A cylinder of mass M$_{c}$ and sphere of mass M$_{s}$ are placed at points A and B of two inclines, respectively. (See figure). If they roll on the incline without slipping such that their accelerations are the same, then the ratio $\frac{ sin {\theta }_{\text{c}} }{ sin {\theta }_{\text{s}} }$ is : 
The current voltage relation of diode is given by I = (e$^{1000}$$^{ V/T}$ - 1) mA, where the applied voltage V is in volts and the temperature T is in degree Kelvin. If a student makes an error measuring $\pm \text{0.01 V}$ while measuring the current of 5 mA at 300 K, what will be the error in the value of current in mA ?
From the following combinations of physical constants (expressed through their usual symbols) the only combination, that would have the same value in different systems of units, is:
In terms of resistance $R$ and time $T$, the dimensions of ratio $\frac{\mu}{\varepsilon}$ of the permeability $\mu$ and permittivity $\varepsilon$ is:
From a tower of height H, a particle is thrown vertically upwards with a speed u. The time taken by the particle, to hit the ground, is n times that taken by it to reach the highest point of its path.The relation between H, u and n is :
A body of mass $5 \mathrm{~kg}$ under the action of constant force $\vec{F}=F_x \hat{i}+F_y \hat{j}$ has velocity at $\mathrm{t}=0 \mathrm{~s}$ as $\overrightarrow{\mathrm{v}}=(6 \hat{\mathrm{i}}-2 \hat{\mathrm{j}} \mathrm{m} / \mathrm{s})$ and at $\mathrm{t}=10 \mathrm{~s}$ as $\overrightarrow{\mathrm{v}}=+6 \hat{\mathrm{j}} \mathrm{m} / \mathrm{s}$. The force $\overrightarrow{\mathrm{F}}$ is:
Consider a cylinder of mass M resting on a rough horizontal rug that is pulled out from under it with acceleration 'a' perpendicular to the axis of the cylinder. What is F$_{friction}$ at point P ? It is assumed that the cylinder does not slip. 
Three masses $\mathrm{m}, 2 \mathrm{~m}$ and $3 \mathrm{~m}$ are moving in $\mathrm{x}-\mathrm{y}$ plane with speed $3 \mathrm{u}, 2 \mathrm{u}$ and $\mathrm{u}$ respectively as shown in figure. The three masses collide at the same point at $\mathrm{P}$ and stick together. The velocity of resulting mass will be: 
The bulk moduli of ethanol, mercury and water are given as $0.9,25$ and $2.2$ respectively in units of $10^9 \mathrm{Nm}^{-2}$. For a given value of pressure, the fractional compression in volume is $\frac{\Delta \mathrm{V}}{\mathrm{V}}$. Which of the following statements about $\frac{\Delta V}{V}$ for these three liquids is correct ?
Water is flowing at a speed of 1.5 m s$^{-1}$ through a horizontal tube of cross-sectional area 10$^{-2}$ m$^{2}$$^{ }$and you are trying to stop the flow by your palm. Assuming that the water stops immediately after hitting the palm, the minimum force that you must exert should be (density of water = 10$^{3}$ kg m$^{-3}$)
The gravitational field in a region is given by $\vec{g}=(5\hat{\text{i}}+12\hat{j})N{\mathrm{kg}}^{-1}$. The change in the gravitational potential energy of a particle of mass $2\mathrm{kg}$ when it is taken from the origin to a point $(7m,-3m)$ is
Match List$‐I$ (Event) with List$‐\mathrm{II}$ (Order of the time interval for the happening of the event) and select the correct option from the options given below the lists. <table class="pyq-table"><tbody><tr><th></th><th>List-I</th><th></th><th>List-II</th></tr><tr><td>$(a)$</td><td>The rotation period of earth</td><td>$(i)$</td><td>${10}^{5}s$</td></tr><tr><td>$(b)$</td><td>Revolution period of earth</td><td>$(\mathrm{ii})$</td><td>${10}^{7}s$</td></tr><tr><td>$(c)$</td><td>Period of a light wave</td><td>$(\mathrm{iii})$</td><td>${10}^{-15}s$</td></tr><tr><td>$(d)$</td><td>Period of a sound wave</td><td>$(\mathrm{iv})$</td><td>${10}^{-3}s$</td></tr></tbody></table>
The initial speed of a bullet fired from a rifle is $630 \mathrm{~m} / \mathrm{s}$. The rifle is fired at the centre of a target $700 \mathrm{~m}$ away at the same level as the target. How far above the centre of the target ?
An open glass tube is immersed in mercury in such a way that a length of $8\mathrm{cm}$ extends above the mercury level. The open end of the tube is then closed and sealed and the tube is raised vertically up by additional $46\mathrm{cm}$. What will be length of the air column above mercury in the tube now ? (Atmospheric pressure = $76\mathrm{cm}$ of Hg)
In materials like aluminium and copper, the correct order of magnitude of various elastic modulii is :
An air bubble of radius $0.1 \mathrm{~cm}$ is in a liquid having surface tension $0.06 \mathrm{~N} / \mathrm{m}$ and density $10^3 \mathrm{~kg} / \mathrm{m}^3$. The pressure inside the bubble is $1100 \mathrm{Nm}^{-2}$ greater than the atmospheric pressure. At what depth is the bubble below the surface of the liquid? $\left(\mathrm{g}=9.8 \mathrm{~ms}^{-2}\right)$