Question 1 :
Surface tension of a liquid is {tex} 70 \mathrm {\ dyne } / \mathrm { cm } {/tex}. Its value in SI is
Question 2 :
Which of the following is the correct decreasing order of the strengths of four fundamental forces of nature?
Question 4 :
When a small sphere moves at low speed through a fluid, the viscous force {tex} F {/tex}, opposing the motion is experimentally found to depend upon the radius {tex} r , {/tex} the velocity {tex} v {/tex} of the sphere and the viscosity {tex} \eta {/tex} of the fluid. Expression for force is
Question 5 :
The displacement of a body at a particular second {tex} \mathrm { n } {/tex} is given by the expression {tex} \mathrm { S } _ { \mathrm { nth } } = \mathrm { u } + \frac { \mathrm { a } } { 2 } ( 2 \mathrm { n } - 1 ) . {/tex} The dimensional formula of {tex} \mathrm { S } _ { \mathrm { nth } } {/tex} in this equation is
Question 6 :
Mass of a body is {tex} 210 \mathrm { gm } {/tex} and its density is {tex} 7.981 \mathrm { g } / \mathrm { cm } ^ { 3 } {/tex} what will be its volume, with regard to significant digits?
Question 8 :
{tex} \begin{array} { l l } { \text { Column I } } & { \text { Column II } } \\ { \text { (A) Length } } & { \text { (1) burette } } \\ { \text { (B) Volume } } & { \text { (2) Vernier callipers } } \\ { \text { (C) Diameter of a thin wire } } & { \text { (3) screw gauge } } \\ { \text { (D) Mass } } & { \text { (4) common balance } } \end{array} {/tex}
Question 9 :
The current voltage relation of a diode is given by {tex} \mathrm { I } = \left( \mathrm { e } ^ { \text {1000V } / T } - 1 \right) \mathrm { mA } , {/tex} where the applied voltage {tex} \mathrm { V } {/tex} is in volts and the temperature {tex} \mathrm T {/tex} is in degree kelvin. If a student makes an error measuring {tex} \pm 0.01 \mathrm { V } {/tex} while measuring the current of {tex} 5 \mathrm { mA } {/tex} at {tex} 300 \mathrm { K } , {/tex} what will be the error in the value of current in {tex} \mathrm { mA } ? {/tex}
Question 11 :
Two forces {tex} F {/tex} newton and {tex} 2 F {/tex} newton act on a particle. If the first force is doubled and the second is increased by {tex} 10{ N } , {/tex} the direction of the resultant remains unchanged. {tex} F {/tex} is
Question 12 :
A machine gun is mounted on a $2000 kg $ vehicle on a horizontal smooth road (friction negligible). The gun fires $10 $ bullets per sec with a velocity of $500 m/s $ . If the mass of each bullet be $10 g $ , what is the acceleration produced in the vehicle?
Question 13 :
A stone tied to the end of a string of {tex} 1 \mathrm { m } {/tex} long is whirled in a horizontal circle with a constant speed. If the stone makes {tex}22 {/tex} revolution in {tex}44{/tex} seconds, what is the magnitude and direction of acceleration of the stone?
Question 14 :
A freely falling body has a velocity V after falling through a distance h. The distance it has to fall down further for its velocity to become 2V is :
Question 15 :
If {tex} \hat { i } {/tex} denotes a unit vector along incident light, {tex} \hat { r } {/tex} a unit vector along refracted ray into medium of refractive index {tex} \mu {/tex} and {tex} \hat { n } {/tex} a unit vector normal to the boundary of the media, directed towards incident medium, then the law of refraction can be written as
Question 16 :
The displacement of a particle is represented by the following equation: {tex} \mathrm { S } = 3 \mathrm { t } ^ { 3 } + 7 \mathrm { t } ^ { 2 } + 5 \mathrm { t } + 8 {/tex} where {tex}S{/tex} is in meter and {tex} \mathrm { t } {/tex} in second. The acceleration of the particle at {tex} \mathrm { t } = 1{/tex} sec is
Question 17 :
A force {tex} \vec { F } = ( 5 \hat { i } + 3 \hat { j } + 2 \hat { k } ) \mathrm { N } {/tex} applied on a particle displaces it from the origin to the point {tex} \vec { r } = ( 2 \hat { i } - \hat { j } ) \mathrm { m } {/tex}. The work done on the particle in joules is
Question 18 :
The acceleration due to gravity g is determined by dropping an object through a distance of exactly 10 m. The time is to be measured so that the result is to be good to 0.1%. If the absolute error is $n \times 10^{-4}$ S, find n. (Take g = 10 m/s$^{2}$ in calculation)
Question 19 :
A ball is released from the top of tower of height {tex}\mathrm{h}{/tex} metre. It takes {tex}\mathrm{T}{/tex} second to reach the ground. What is the position in {tex} ( \mathrm { m } ) {/tex} from the ground of the ball in {tex} \mathrm { T } / 3 {/tex} second?
Question 20 :
A man running along a straight road with uniform velocity {tex} \overrightarrow { \mathrm { u } } = u \hat { \mathrm { i } } {/tex} feels that the rain is falling vertically down along {tex} - \hat { \mathrm { j } } {/tex} . If he doubles his speed, he finds that the rain is coming at an angle {tex} \theta {/tex} with the vertical. The velocity of the rain with respect to the ground is
Question 21 : A block of mass {tex} 1 \mathrm { kg } {/tex} is pulled along the curve path {tex} \mathrm {A C B }{/tex} by a tangential force as shown in figure. The work done by the frictional force when the block moves from {tex} \mathrm A {/tex} to {tex}\mathrm B {/tex} is<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e0ee6688420d95285473c80"><br>
Question 22 : Two blocks of masses {tex} m{/tex} and {tex}M{/tex} are joined with an ideal spring of spring constant {tex}k{/tex} and kept on a rough surface as shown. The spring is initially unstretched and the coefficient of friction between the blocks and the horizontal surface is {tex} \mu . {/tex} What should be the maximum speed of the block of mass {tex} M {/tex} such that the smaller block does not move?<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e0ee764dc973f528b538d04">
Question 23 :
How much water, a pump of {tex} 2 \mathrm { kW } {/tex} can raise in one minute to a height of {tex} 10 \mathrm { m } , {/tex} take {tex} \mathrm { g } = 10 \mathrm { m } / \mathrm { s } ^ { 2 } ? {/tex}
Question 24 :
A bullet of mass {tex} 20 \mathrm { g } {/tex} and moving with {tex} 600 \mathrm { m } / \mathrm { s } {/tex} collides with a block of mass {tex} 4 \mathrm { kg } {/tex} hanging with the string. What is velocity of bullet when it comes out of block, if block rises to height {tex} 0.2 \mathrm { m } {/tex} after collision?
Question 25 :
An object of mass <b>2kg </b> makes an elastic collision with another object of mass <b> M </b> at rest and continues to move in the original direction but with one-fourth of its original speed. What is the value of <b>M </b>?
Question 26 :
A uniform force of {tex} ( 3 \hat { i } + \hat { j } ) {/tex} newton acts on a particle of mass {tex} 2 \mathrm { kg } {/tex}. The particle is displaced from position {tex} ( 2 \hat { i } + \hat { k } ) {/tex} meter to position {tex} ( 4 \hat { i } + 3 \hat { j } - \hat { k } ) {/tex} meter. The work done by the force on the particle is
Question 27 :
The work done in sliding a wooden box of mass $5\ kg$ along a friction less inclined plane of inclination ${30}^{o}$ and length $10\ m$ is______$J$. $(g=10\ {ms}^{-2})$
Question 28 :
Which of the following must be known in order to determine the power output of an automobile?
Question 29 :
A uniform chain of length 2 m is kept on a table such that a length of 60 cm hangs freely from the edge of the table. The total mass of the chain is 4 kg. What is the work done in pulling the entire chain on the table?
Question 30 :
An athlete in the olympic games covers a distance of {tex} 100 \mathrm { m } {/tex} in {tex} 10 \mathrm { s } {/tex}. His kinetic energy can be estimated to be in the range
Question 31 : A wheel of radius 0.1 m (wheel A) is attached by a non-stretching belt to a wheel of radius 0.2 m (wheel B). The belt does not slip. By the time wheel {tex} B {/tex} turns through 1 revolution, wheel {tex} A {/tex} will rotate through<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e0f0d25ed6e36502132f30f"><br>
Question 32 :
Two circular discs of same mass and thickness are made up of two different metals with densities {tex} d _ { X } {/tex} and {tex} d _ { Y } \left( d _ { X } > d _ { Y } \right) . {/tex} Their moments of inertia about the axes passing through their centers of gravity and perpendicular to their planes are {tex} I _ { X } {/tex} and {tex} I _ { Y } {/tex}. Which one is correct?
Question 33 :
From a solid sphere of mass {tex} \mathrm { M } {/tex} and radius {tex} \mathrm { R } {/tex} a cube of maximum possible volume is cut. Moment of inertia of cube about an axis passing throught its center and perpendicular to one of its faces is
Question 34 : A particle of mass {tex} m {/tex} is attached to a thin uniform rod of length a and mass {tex} 4 \mathrm { m } {/tex}. The distance of the particle from the centre of mass of the rod is {tex} a / 4 {/tex}. The moment of inertia of the combination about an axis passing through O normal to the rod is<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e0f0fa14faa335027dc77fd"><br>
Question 35 :
The free end of a thread wound on a bobbin is passed round a nail A hammered into the wall. The thread is pulled at a constant velocity. Assuming pure rolling of bobbin, find the velocity {tex} v _ { 0 } {/tex} of the centre of the bobbin at the instant when the thread forms an angle {tex} \alpha {/tex} with the vertical.
Question 38 :
The force required to just move a body up the inclined plane is double the force required to just prevent the body from sliding down the plane. The coefficient of friction is {tex} \mu . {/tex} The inclination {tex} \theta {/tex} of the plane is
Question 39 :
A bucket tied at the end of a {tex} 1.6 \mathrm { m } {/tex} long string is whirled in a vertical circle with constant speed. What should be the minimum speed so that the water from the bucket does not spill when the bucket is at the highest position?
Question 40 :
A particle of mass {tex} m {/tex} rotates with a uniform angular speed {tex} \omega . {/tex} It is viewed from a frame rotating about the Z-axis with a uniform angular velocity {tex} \omega _ { 0 } . {/tex} The centrifugal force on the particle is:
Question 41 :
A satellite in a force free space sweeps stationary interplanetary dust at a rate {tex} ( \mathrm { dM } / \mathrm { d } \mathrm { t } ) = \alpha { v } . {/tex} The acceleration of satellite is
Question 42 :
A body is rolling on the ground with a velocity of $1\ m/s$. After travelling a distance of $5\ m$, the body stops. The coefficient of friction is:
Question 43 : Two monkeys of masses {tex} 10 \mathrm { kg } {/tex} and {tex} 8 \mathrm { kg } {/tex} are moving along vertical rope which is light and inextensible, the former climbing up with acceleration of {tex} 2 \mathrm { m } / \mathrm { s } ^ { 2 } {/tex} while the latter coming down with a uniform velocity of {tex} 2 \mathrm { m } / \mathrm { s } {/tex}. Find the tension (in newtons).<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e101dc94faa335027dc7ae8"><br>
Question 44 :
A heavy box is to dragged along a rough horizontal floor. To do so, person {tex}A{/tex} pushes it at an angle {tex}30^{\circ}{/tex} from the horizontal and requires a minimum force {tex}F_A{/tex}, while person {tex}B{/tex} pulls the box at an angle {tex}60^{\circ}{/tex} from the horizontal and needs minimum force {tex}F_B{/tex}. If the coefficient of friction between the box and the floor is {tex}\frac{\sqrt3}{5}{/tex}, the ratio {tex}\frac{F_A}{F_B}{/tex}is
Question 45 :
Two bodies of masses {tex} 1 \mathrm { kg } {/tex} and {tex} 2 \mathrm { kg } {/tex} moving with same velocities are stopped by the same force. Then the ratio of their stopping distances is
