Question 1 :
A circular turn table has a block of ice placed at its centre. The system rotates with an angular speed {tex} \omega {/tex} about an axis passing through the centre of the table. If the ice melts on its own without any evaporation, the speed of rotation of the system<br>

Question 2 :
Point masses {tex} 1,2,3 {/tex} and 4{tex} \mathrm { kg } {/tex} are lying at the point {tex} ( 0,0,0 ) , {/tex} {tex} ( 2,0,0 ) , ( 0,3,0 ) {/tex} and {tex} ( - 2 , - 2,0 ) {/tex} respectively. The moment of inertia of this system about {tex} \mathrm { x } {/tex} -axis will be

Question 3 :
A tangential force of {tex} 20 \mathrm { N } {/tex} is applied on a cylinder of mass {tex} 4 \mathrm { kg } {/tex} and moment of inertia {tex} 0.02 \mathrm { kg } \mathrm { m } ^ { 2 } {/tex} about its own axis. If the cylinder rolls without slipping, then linear acceleration of its centre of mass will be<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e0f0fbb4faa335027dc7812">

Question 4 :
From a circular disc of radius {tex} R {/tex} and mass {tex} 9 M , {/tex} a small disc of radius {tex} R / 3 {/tex} is removed from the disc. The moment of inertia of the remaining disc about an axis perpendicular to th plane of the disc and passing through {tex} O {/tex} is<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e0f0faf4faa335027dc7808">

Question 5 :
A hollow smooth uniform sphere {tex} A {/tex} of mass {tex} \mathrm { m } {/tex} rolls without sliding on a smooth horizontal surface. It collides head on elastically with another stationary smooth solid sphere {tex} B {/tex} of the same mass {tex} m {/tex} and same radius. The ratio of kinetic energy of {tex} B {/tex} to that of {tex} A {/tex} just after the collision is<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5d5e844106864d5bec7be6f4">

Question 6 :
When a ceiling fan is switched on, it makes 10 rotations in the first 3 seconds. Assuming a uniform angular acceleration, how many rotation it will make in the next 3 seconds?<br>

Question 7 :
A solid sphere of mass 2 kg rolls on a smooth horizontal surface at 10{tex} \mathrm { m } / \mathrm { s } {/tex} . It then rolls up a smooth inclined plane of inclination {tex} 30 ^ { \circ } {/tex} with the horizontal. The height attained by the sphere before it stops is<br>

Question 8 :
A certain bicycle can go up a gentle incline with constant speed when the frictional force of ground pushing the rear wheel is<br>{tex} \mathrm { F } _ { 2 } = 4 \mathrm { N } . {/tex} With what force {tex} \mathrm { F } _ { 1 } {/tex} must the chain pull on the sprocket wheel if {tex} \mathrm { R } _ { 1 } = 5 \mathrm { cm } {/tex} and {tex} \mathrm { R } _ { 2 } = 30 \mathrm { cm } ? {/tex}<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5d5e841406864d5bec7be6d2">

Question 9 :
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 10 :
A solid sphere of radius {tex} R {/tex} is placed on a smooth horizontal surface. A horizontal force {tex} F {/tex} is applied at height from the lowest point. For the maximum acceleration of the centre of mass<br><img style='object-fit:contain' src="https://data-screenshots.sgp1.digitaloceanspaces.com/5eabeaa7444bd75bcd5cff80.jpg" />

Question 11 :
If the mass of a planet is $10\%$ less than that of the earth and the radius is $20\%$ greater than that of the earth, the acceleration due to gravity on the planet will be.

Question 12 :
If $g_E$ and $g_M$ are the accelerations due to gravity on the surface of the earth and the moon respectively and if Millikan's oil drop experiment could be performed on the two surfaces, one will find the ratio<br/><br/>$\displaystyle \frac {electronic\ &#160;charge\ &#160;on\ &#160;the\ &#160;moon}{electronic\ &#160;charge\ &#160;on\ &#160;the\ &#160;earth}$to be

Question 13 :
Assertion: If earth suddenly stops rotating about its axis, then the value of acceleration due to gravity will become same at all the places. Reason: The value of acceleration due to gravity is independent of rotation of earth.

Question 14 :
Two balls are dropped from the same height from places $A$ and $B$. The body at $B$ takes two seconds less to reach the ground at $B$ strikes the ground with a velocity greater than at $A$ by $10 m/s$. The product of the acceleration due to gravity at the two places $A$ and $B$ is:

Question 15 :
A spherical planet, far out in space, has a mass $M_0$ and diameter $D_0$. A particle of mass $m$ falling freely near the surface of this planet will experience acceleration due to gravity which is equal to:

Question 16 :
The highest temperatures recorded in 4 different countries are listed below<table class="wysiwyg-table"><tbody><tr><td>Highest temperature</td><td>Country</td></tr><tr><td>127.6$^o$F</td><td>India</td></tr><tr><td>114.8$^o$F</td><td>Nepal</td></tr><tr><td>136.4$^o$F</td><td>Srilanka</td></tr><tr><td>134.0$^o$F</td><td>Pakistan</td></tr></tbody></table>What is the highest temperature listed above?

Question 19 :
At what temperature, due the Celsius and Fahrenheit scales show then same reading but with opposite sign?

Question 20 :
The mode of exchange of energy due to temperature difference is known as:<br/>

Question 21 :
An Aluminium and Copper wire of same cross sectional area but having lengths in the ratio $2 : 3$ are joined end to end. This composite wire is hung from a rigid support and a load is suspended from the free end. If the increase in length of the composite wire is $2.1 \ mm$, the increase in lengths of Aluminium and Copper wires are : [$\displaystyle { Y }_{ Al }=20\times { 10 }^{ 11 }{ N }/{ { m }^{ 2 } }$ and&#160;$\displaystyle { Y }_{ Cu }=12\times { 10 }^{ 11 }{ N }/{ { m }^{ 2 } }$]

Question 22 :
Two rods of different materials having coefficients of thermal expansion and Young's moduli ${Y}_{1}, {Y}_{2}$, respectively are fixed between two rigid massive walls. The rods are heated such that undergo the same increase in temperature. There is no bending of the rods. If ${\alpha}_{1}:{\alpha}_{2}= 2:3$, the thermal stresses developed in the two rods are equal provided ${Y}_{1}: {Y}_{2}$ is equal to:<br/>

Question 23 :
In a Young's double slit experiment with sodium light, slits are 0.589 m apart. The angular separation of the maximum from the central maximum will be (given $\lambda =589$nm,):

Question 24 :
$\mathrm{A}$ student performs an experiment to determine the Young's modulus of a wire, exactly 2 $\mathrm{m}$ long, by Searle's method. In a particular reading, the student measures the extension in the length of the wire to be $0.8 mm$ with an uncertainty of $\pm 0.05$ mm at a load of exactly $1.0 kg$. The student also measures the diameter of the wire to be $0.4 mm$ with an uncertainty of $\pm 0.01$ mm. Take $\mathrm{g}=9.8\mathrm{m}/\mathrm{s}^{2}$ (exact). The Young's modulus obtained from the reading is <br>

Question 25 :
In performing an experiment to determine the Young's modulus Y of steel, a student can record the following values:<br>length of wire l$=(\ell_{0}\pm\Delta$l$){m}$<br>diameter of wire ${d}=({d}_{0}\pm\Delta {d})$ mm<br>force applied to wire ${F}$=$({F}_{0}\pm\Delta {F}){N}$<br>extension of wire ${e}=({e}_{0}\neq\Delta {e})$ mm<br>In order to obtain more reliable value for Y, the followlng three techniques are suggested. <br>Technique (i) A shorter wire ls to be used.<br>Technique (ii) The diameter shall be measured at several places with a micrometer screw gauge.<br>Technique (iii) Two wires are made irom the same ntaterial and of same length. One is loaded at a fixed weight and acts as a reference for the extension of the other which is load- tested<br>Which of the above techniques is/are useful?<br>

Question 26 :
The radiation energy density per unit wavelength at a temperature {tex}\mathrm T{/tex} has a maximum at a wavelength {tex} \lambda _ { 0 } . {/tex} At temperature {tex} 2 \mathrm { T } , {/tex} it will have a maximum wavelength

Question 27 :
In Searle's experiment to find Young's modulus the diameter of wire is measured as $d=0.05cm$, length of wire is $l=125cm$ and when a weight,$m=20.0kg$ is put, extension in wire was found to be $0.100cm$. Find the maximum permissible error in Young's modulus $(Y)$. Use:$Y=\displaystyle\frac{mgl}{(\pi/4)d^2x}$.

Question 28 :
A rubber ball is brought into 200 m deep&#160;water, its volume is decreased by 0.1% then&#160;volume &#160;elasticity coefficient of the material of&#160;ball will be:<br/>$(Given\ \rho = 10^3 kg/m^3$ and $ g = 9.8 ms^{-2})$

Question 29 :
A uniformly tapering conical wire is made from a material of Young's modulus {tex}\mathrm Y{/tex} and has a normal, unextended length {tex}\mathrm L{/tex} . The radii, at the upper and lower ends of this conical wire, have values {tex}\mathrm R{/tex} and {tex} 3 \mathrm { R } , {/tex} respectively. The upper end of the wire is fixed to a rigid support and a mass {tex} \mathrm { M } {/tex} is suspended from its lower end. The equilibrium extended length, of this wire, would equal: {tex} \quad {/tex}

Question 30 :
The length of elastic string, obeying Hooke's law is {tex} \ell _ { 1 } {/tex} metres when the tension {tex} 4 \mathrm { N } {/tex} and {tex} \ell _ { 2 } {/tex} metres when the tension is {tex} 5 \mathrm { N } {/tex}. The length in metres when the tension is {tex} 9 \mathrm { N } {/tex} is -

Question 31 :
Find the size of object which can be featured with $5\space MHz$ in water.

Question 32 :
The frequency of a man's voice is 300 Hz and its wavelength is 1 meter. If the wavelength of a child's voice is 1.5 m, then the frequency of the child's voice is :<br>

Question 33 :
A wave of frequency 500 Hz has a phase velocity of 360 m/s. The phase difference between the two displacements at a certain point in a time interval of 10$^{-3}$ seconds will be how much?

Question 34 :
The frequency of fork is 512 Hz and the sound produced by it travels 42 metres as the tuning fork completes 64 vibrations. Find the velocity of sound :<br/>

Question 35 :
The equation of a progressive wave are $Y=\sin{\left[200\pi\left(t-\cfrac{x}{330}\right)\right]}$, where $x$ is in meter and f is second. The frequency and velocity of wave are

Question 36 :
How is the mean free path {tex} ( \lambda ) {/tex} in a gas related to the interatomic distance?

Question 37 :
A gas mixture consists of 2 moles of oxygen and 4 moles of Argon at temperature T. Neglecting all vibrational moles, the total internal energy of the system is

Question 38 :
One kg of a diatomic gas is at a pressure of {tex} 8 \times 10 ^ { 4 } \mathrm { N } / \mathrm { m } ^ { 2 } . {/tex} Th density of the gas is {tex} 4 \mathrm { kg } / \mathrm { m } ^ { 3 } . {/tex} What is the energy of the ga due to its thermal motion?

Question 39 :
What will be the ratio of number of molecules of a monoatomic and a diatomic gas in a vessel, if the ratio of their partial pressures is 5:3?

Question 40 :
For a gas, if ratio of specific heats at constant pressure and volume is {tex} \gamma {/tex} then value of degrees of freedom is

Question 41 :
Consider a gas with density {tex} \rho {/tex} and {tex} \overline { c } {/tex} as the root mean square velocity of its molecules contained in a volume. If the system moves as whole with velocity {tex} v , {/tex} then the pressure exerted by the gas is

Question 42 :
A vessel has 6{tex} \mathrm { g } {/tex} of hydrogen at pressure {tex} \mathrm { P } {/tex} and temperature 500{tex} \mathrm { K } {/tex} . A small hole is made in it so that hydrogen leaks out. How much hydrogen leaks out if the final pressure is {tex} \mathrm { P } / 2 {/tex} and temperature falls to 300{tex} \mathrm { K } ? {/tex}

Question 43 :
1 mole of a monatomic and 2 mole of a diatomic gas are mixed. The resulting gas is taken through a process in which molar heat capacity was found 3{tex} \mathrm { R } {/tex} . Polytropic constant in the process is

Question 44 :
Work done by a system under isothermal change from a volume {tex} \mathrm { V } _ { 1 } {/tex} to {tex} \mathrm { V } _ { 2 } {/tex} for a gases which obeys Vander Waal's equation {tex} ( V - \beta n ) \left( P + \frac { \alpha n ^ { 2 } } { V } \right) = n R T {/tex} is

Question 45 :
At {tex} 10 ^ { \circ } \mathrm { C } {/tex} the value of the density of a fixed mass of an ideal gas divided by its pressure is {tex} {x } {/tex} . At {tex} 110 ^ { \circ } \mathrm { C } {/tex} this ratio is:

Question 47 :
Two capacitors of $1\mu F$ and $2\mu F$ are connected in series and this combination is changed upto a potential difference of $120$ volt. What will be the potential difference across $1 \mu F$ capacitor:

Question 48 :
For a cylindrical geometry like a coaxial cable, the capacitance is usually stated as a capacitance per _____.

Question 49 :
<p class="wysiwyg-text-align-left"><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">Three capacitors $2\mu F, 3\mu F$ and $5\mu F$ </span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">are&#160;</span></span>connected in parallel. The capacitance of the&#160;combination:</p>

Question 51 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"></span></span><p class="wysiwyg-text-align-left">Two spherical conductors A and B of radii $1\ mm$ and $2\ mm$ are separated by a distance of $5\ cm$ and are uniformly charged. If the spheres are connected by a conducting wire, then in the equilibrium condition, find $\dfrac {E_1}{E_2}$.</p>

Question 52 :
In a $AC$ circuit the potential difference across an inductance and resistance joining in series are respectively $16\ V$ and $20\ V$. The total potential difference across the circuit is:

Question 53 :
Two connected bodies having respectively capacitances ${\text{C}}_{\text{1}} \,{\text{and}}\,{\text{C}}_{\text{2}} $ are charged with a total charge Q. The potentials of the two bodies are.<br>

Question 54 :
If the distance between the plates of a parallel plate capacitor of capacity 10 $\mu$F is doubled. then new capacity will be :<br/>

Question 55 :
Three capacitors connected in series have an effective capacitance of $4 \mu F$. If one of the capacitance is removed, the net capacitance of the capacitor increases to $6 \mu F$. The removed capacitor has a capacitance of