JEE Main Physics — Mechanics previous year questions with solutions.
For $z={a}^{2}{x}^{3}{y}^{\frac{1}{2}}$, where '$a$' is a constant. If percentage error in measurement of '$x$' and '$y$' are $4%$and $12%$, respectively, then the percentage error for '$z$' will be _____$%$.
$\vec{A}$ is a vector quantity such that $|\vec{A}|=$ non-zero constant. Which of the following expression is true for $\vec{A}$?
Assertion A: Product of Pressure $(P)$ and time $(t)$ has the same dimension as that of coefficient of viscosity. Reason: Coefficient of viscosity $=\frac{\mathrm{Force}}{\mathrm{Velocity}\mathrm{gradient}}$
A person is standing in an elevator. In which situation, he experiences weight loss ?
If $t=\sqrt{x}+4$, then ${(\frac{dx}{dt})}_{t=4}$ is:
Motion of a particle in $x-y$ plane is described by a set of following equations $x=4\mathrm{sin}(\frac{\pi }{2}-\omega t)m$ and $y=4\mathrm{sin}(\omega t)m$. The path of the particle will be
A ball is projected with kinetic energy $E$, at an angle of $60^{\circ}$ to the horizontal. The kinetic energy of this ball at the highest point of its flight will become :
If the initial velocity in horizontal direction of a projectile is unit vector $\hat{i}$ and the equation of trajectory is $y=5x(1-x)$. The $y$ component vector of the initial velocity is _____ $\hat{j}$ (Take $g=10m{s}^{-2}$)
A fighter jet is flying horizontally at a certain altitude with a speed of $200{ms}^{-1}$. When it passes directly overhead an anti-aircraft gun, a bullet is fired from the gun, at an angle $\theta$ with the horizontal, to hit the jet. If the bullet speed is $400m{s}^{-1}$, the value of $\theta$ will be _____ $^{\circ}$.
A projectile is projected with velocity of $25m{s}^{-1}$ at an angle $\theta$ with the horizontal. After $t$ seconds its inclination with horizontal becomes zero. If $R$ represents horizontal range of the projectile, the value of $\theta$ will be : [use $\mathrm{use}g=10m{s}^{-2}$]
A boy ties a stone of mass $100g$ to the end of a $2m$ long string and whirls it around in a horizontal plane. The string can withstand the maximum tension of $80N$. If the maximum speed with which the stone can revolve is $\frac{K}{\pi }\mathrm{rev}{\mathrm{min}}^{-1}$. The value of $K$ is : (Assume the string is massless and un-stretchable)
A smooth circular groove has a smooth vertical wall as shown in figure. A block of mass $m$ moves against the wall with a speed $v$. Which of the following curve represents the correct relation between the normal reaction on the block by the wall $(N)$ and speed of the block $(v)$? 
Two masses ${M}_{1}$ and ${M}_{2}$ are tied together at the two ends of a light inextensible string that passes over a frictionless pulley. When the mass ${M}_{2}$ is twice that of ${M}_{1}$. the acceleration of the system is ${a}_{1}$. When the mass ${M}_{2}$ is thrice that of ${M}_{1}$. The acceleration of The system is ${a}_{2}$. The ratio $\frac{{a}_{1}}{{a}_{2}}$ will be 
A block of metal weighing $2\mathrm{kg}$ is resting on a frictionless plane (as shown in figure). It is struck by a jet releasing water at a rate of $1\mathrm{kg}{s}^{-1}$ and at a speed of $10{ms}^{-1}$. Then, the initial acceleration of the block, in $m{s}^{-2}$, will be 
A ball is released from rest from point $P$ of a smooth semi-spherical vessel as shown in figure. The ratio of the centripetal force and normal reaction on the ball at point $Q$ is $A$ while angular position of point $Q$ is $\alpha$ with respect to point $P$. Which of the following graphs represent the correct relation between $A$ and $\alpha$ when ball goes from $Q$ to $R$? 
A force on an object of mass $100g$ is $(10\hat{i}+5\hat{j})N$. The position of that object at $t=2s$ is $(a\hat{i}+b\hat{j})m$ after starting from rest. The value of $\frac{a}{b}$ will be _____ .
A body of mass $10\mathrm{kg}$ is projected at an angle of $45^{\circ}$ with the horizontal. The trajectory of the body is observed to pass through a point $(20,10)$. If $T$ is the time of flight, then its momentum vector, at time $t=\frac{T}{\sqrt{2}}$, is _____ . [Take $g=10m{s}^{-2}$]
A rolling wheel of $12\mathrm{kg}$ is on an inclined plane at position $P$ and connected to a mass of $3\mathrm{kg}$ through a string of fixed length and pulley as shown in figure. Consider $PR$ as friction free surface. The velocity of centre of mass of the wheel when it reaches at the bottom $Q$ of the inclined plane $PQ$ will be $\frac{1}{2}\sqrt{xgh}m{s}^{-1}$. The value of $x$ (rounded off to the nearest integer) is _____. 
An object is thrown vertically upwards. At its maximum height, which of the following quantity becomes zero ?
Arrange the four graphs in descending order of total work done; where ${W}_{1},{W}_{2},{W}_{3}$ and ${W}_{4}$ are the work done corresponding to figure $a,b,c$ and $d$ respectively. 
An object is projected in the air with initial velocity $u$ at an angle $\theta$. The projectile motion is such that the horizontal range $R$, is maximum. Another object is projected in the air with a horizontal range half of the range of first object. The initial velocity remains same in both the case. The value of the angle of projection, at which the second object is projected, will be _____ degree.
Two vectors $\vec{A}$ and $\vec{B}$ have equal magnitudes. If magnitude of $\vec{A}+\vec{B}$ is equal to two times the magnitude of $\vec{A}-\vec{B}$, then the angle between $\vec{A}$ and $\vec{B}$ will be
The SI unit of a physical quantity is $\mathrm{Pascal}‐\mathrm{sec}$. The dimensional formula of this quantity will be
A block of mass '$m$' (as shown in figure) moving with kinetic energy $E$ compresses a spring through a distance $25\mathrm{cm}$ when, its speed is halved. The value of spring constant of used spring will be $nEN{m}^{-1}$ for $n=$_____. 