Physics Mechanics questions from NEET UG 2023.
A bullet is fired from a gun at the speed of$280m{s}^{-1}$ in the direction $30^{\circ}$ above the horizontal. The maximum height attained by the bullet is ($g=9.8m{s}^{-2},$ $\mathrm{sin}30^{\circ}=0.5$):
A bullet of mass $m$ hits a block of mass $M$ elastically. The transfer of energy is the maximum, when
Let a wire be suspended from the ceiling (rigid support) and stretched by a weight $W$ attached at its free end. The longitudinal stress at any point of cross-sectional area $A$of the wire is:
The amount of elastic potential energy per unit volume (in SI unit) of a steel wire of length $100 \mathrm{~cm}$ to stretch it by $1 \mathrm{~mm}$ is (if Young's modulus of the wire $=2.0 \times 10^{11} \mathrm{~N} \mathrm{~m}^{-2}$ )
The venturi-meter works on :
If $R$ is the radius of the earth and $g$ is the acceleration due to gravity on the earth surface. Then the mean density of the earth will be
The viscous drag acting on a metal sphere of diameter $1 \mathrm{~mm}$, falling through a fluid of viscosity $0.8 \mathrm{~Pa} s$ with a velocity of $2 \mathrm{~m} \mathrm{~s}^{-1}$ is equal to
The amount of energy required to form a soap bubble of radius $2\mathrm{cm}$ from a soap solution is nearly: (surface tension of soap solution = $0.03N{m}^{-1}$)
A particle is executing uniform circular motion with velocity $\vec{v}$ and acceleration $\vec{a}$. Which of the following is true?
The potential energy of a long spring when stretched by $2\mathrm{cm}$ is $U$. If the spring is stretched by $8\mathrm{cm}$, potential energy stored in it will be:
A vehicle travels half the distance with speed $v$ and the remaining distance with speed $2v$. Its average speed is:
A ball is thrown vertically upward with velocity 20 m/s. The maximum height reached is (g = 10 m/s²)
The ratio of radius of gyration of a solid sphere of mass $M$ and radius $R$ about its own axis to the radius of gyration of the thin hollow sphere of same mass and radius about its axis is :
Which of the following statement is not true?
The diameter of a spherical bob, when measured with vernier callipers yielded the following values: $3.33 \mathrm{~cm}$, $3.32 \mathrm{~cm}, 3.34 \mathrm{~cm}, 3.33 \mathrm{~cm}$ and $3.32 \mathrm{~cm}$. The mean diameter to appropriate significant figures is:
The position of a particle is given by $\vec{r}(t)=4 t \hat{i}+2 t^2 \hat{j}+5 \hat{k}$ where $t$ is in seconds and $r$ in metre. Find the magnitude and direction of velocity $v(t)$, at $t=1 \mathrm{~s}$, with respect to $x$-axis.
Calculate the maximum acceleration of a moving car so that a body lying on the floor of the car remains stationary. The coefficient of static friction between the body and the floor is $0.15$ $(g=10m{s}^{-2})$
Two bodies of mass $m$ and $9m$ are placed at a distance $R$. The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be ($G=$gravitational constant):
A ball is projected from point $A$ with velocity $20 \mathrm{~m} \mathrm{~s}^{-1}$ at an angle $60^{\circ}$ to the horizontal direction. At the highest point $B$ of the path (as shown in figure), the velocity $v \mathrm{~m} \mathrm{~s}^{-1}$ of the ball will be 
A block of mass $2 \mathrm{~kg}$ is placed on an inclined rough surface $\mathrm{AC}$ (as shown in figure) of coefficient of friction $\mu$. If $g=10 \mathrm{~ms}^{-2}$, the net force (in $\mathrm{N}$ ) on the block will be 
The angular acceleration of a body, moving along the circumference of a circle, is:
The escape velocity of a body on the earth surface is $11.2 \mathrm{~km} / \mathrm{s}$. If the same body is projected upward with velocity $22.4 \mathrm{~km} / \mathrm{s}$, the velocity of this body at infinite distance from the centre of the earth will be
The SI unit of impulse is
A football player is moving southward and suddenly turns eastward with the same speed to avoid an opponent. The force that acts on the player while turning is :
The mechanical quantity, which has dimensions of reciprocal of mass $\left(\mathrm{M}^{-1}\right)$ is
The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are:
A particle moves with a velocity $(5 \hat{i}-3 \hat{j}+6 \hat{k}) \mathrm{ms}^{-1}$ horizontally under the action of constant force $(10 \hat{i}+10 \hat{j}+20 \hat{k}) \mathrm{N}$. The instantaneous power supplied to the particle is:
A horizontal bridge is built across a river. A student standing on the bridge throws a small ball vertically upwards with a velocity $4m{s}^{-1}$. The ball strikes the water surface after $4s$. The height of bridge above water surface is (Take $g=10m{s}^{-2}$):
A bullet from a gun is fired on a rectangular wooden block with velocity $u$. When bullet travels $24\mathrm{cm}$ through the block along its length horizontally, velocity of bullet becomes $\frac{u}{3}$. Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is :
A metal wire has mass ($0.4\pm 0.002$) $g$, radius ($0.3\pm 0.001$) $\mathrm{mm}$ and length ($5\pm 0.02$) $\mathrm{cm}$. The maximum possible percentage error in the measurement of density will nearly be:
Two particles $A$ and $B$ initially at rest, move towards each other under mutual force of attraction. At an instance when the speed of $A$ is $v$ and speed of $B$ is $3 v$, the speed of centre of mass is
A satellite is orbiting just above the surface of the earth with period $T$. If $d$ is the density of the earth and $G$ is the universal constant of gravitation, the quantity $\frac{3\pi }{Gd}$ represents :
A $1 \mathrm{~kg}$ object strikes a wall with velocity $1 \mathrm{~ms}^{-1}$ at an angle of $60^{\circ}$ with the wall and reflects at the same angle. If it remains in contact with wall for $0.1 \mathrm{~s}$, then the force exerted on the wall is
A constant torque of $100 \mathrm{~N} \mathrm{~m}$ turns a wheel of moment of inertia $300 \mathrm{~kg} \mathrm{~m}^2$ about an axis passing through its centre. Starting from rest, its angular velocity after $3 \mathrm{~s}$ is