Question 1 : Figure shows the variation in temperature {tex} ( \Delta \mathrm { T } ) {/tex} with the amount of heat supplied {tex} ( \mathrm { Q } ) {/tex} in an isobaric process corresponding to a monoatomic {tex} ( \mathrm {M } ) {/tex}, diatomic {tex} ( \mathrm {D } ) {/tex} and a polyatomic {tex} ( \mathrm {P } ) {/tex} gas. The initial state of all the gases are the same and the scales for the two axes coincide. Ignoring vibrational degrees of freedom, the lines {tex} a , b {/tex} and {tex} c {/tex} respectively correspond to<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5d5fcbafd3eb695bc07eb1e7">

Question 2 : The kinetic theory of gases states that the average squared velocity of molecules varies linearly with the mean molecular weight of the gas. If the root mean square (rms) velocity of oxygen molecules at a certain temperature is 0.5{tex} \mathrm { km } / \mathrm { sec } {/tex} . The rms velocity for hydrogen molecules at the same temperature will be:

Question 3 : The rms speed of the particles of fume of mass {tex} 5 \times 10 ^ { - 17 } \mathrm { kg } {/tex} executing Brownian motion in air at N.T.P. is {tex} ( \mathrm { k } = 1.38 \times {/tex} {tex} \left. 10 ^ { - 23 } \mathrm { J } / \mathrm { K } \right) {/tex}

Question 5 : Three perfect gases at absolute temperatures {tex} T _ { 1 } , T _ { 2 } {/tex} and {tex} T _ { 3 } {/tex} are mixed. The masses of molecules are {tex} m _ { 1 } , m _ { 2 } {/tex} and {tex} m _ { 3 } {/tex} and the number of molecules are {tex} n _ { 1 } , n _ { 2 } {/tex} and {tex} n _ { 3 } {/tex} respectively. Assuming no loss of energy, the final temperature of the mixture is:

Question 6 : N molecules, each of mass <b>m</b> of gas <b>A</b> and <b>2N</b> molecules, each of mass <b>2m</b>, of gas <b>B</b> are contained in the same vessel which is maintained at a temperature <b>T</b>. The mean square velocity of molecules of <b>B</b> type is denoted by <b>V₂</b> and the mean square velocity of <b>A</b> type is denoted by <b>V₁</b> then {tex} \frac { \mathrm { V } _ { 1 } } { \mathrm { V } _ { 2 } } {/tex} is

Question 7 : The temperature of the mixture of one mole of helium and one mole of hydrogen is increased from {tex} 0 ^ { \circ } \mathrm { C } {/tex} to {tex} 100 ^ { \circ } \mathrm { C } {/tex} at constant pressure. The amount of heat delivered will be

Question 8 : At what temperature is root mean square velocity of gaseous hydrogen molecules equal to that of oxygen molecules at {tex} 47 ^ { \circ } \mathrm { C } ? {/tex}

Question 9 : From the following statements, concerning ideal gas at any given temperature {tex} T , {/tex} select the incorrect one(s)

Question 10 : 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 11 : An ideal monoatomic gas undergoes a process in which its internal energy U and density $\rho$ vary as $U\rho\, =\, constant.$ The ratio of change in internal energy and the work done by the gas is

Question 13 : In a thermodynamic system working subtance is ideal gas, its internal energy is in the from of

Question 14 : The temperature of a body on Kelvin scale is found to be $X\ K$. When it is measured by a Fahrenheit thermometer, it is found to be $X^o F$. Then $X$ is

Question 15 : On a new scale of temperature (which is linear) and called the&#160;W scale, the freezing and boiling points of water are 39&#176;W and 239&#176;W respectively. What will be the temperature on the new scale, corresponding to a temperature of 39&#176;C on the Celsius scale ?

Question 16 : The amount of heat required to raise the temperature of 1 kilogram of water by $1\:^oC$ is called :<br/>

Question 17 : The upper and lower fixed points of a faulty mercury thermometer are $210^oF$ and $34^oF$ respectively. The correct temperature read by this thermometer is

Question 18 : Pallet, and Boojho measured their body temperature. Paheli found her's to be $98.6^{o}\digamma$ and Boojho recorded $37^{o}C$.<br>Which of the following statement is true?

Question 19 : Assertion: The internal energy of an isothermal process does not change. Reason: The internal energy of a system depend only on pressure of the system

Question 21 : Two persons pull a rope towards themselves. Each person exerts a force of {tex} 100 \mathrm { N } {/tex} on the rope. Find the Young's modulus of the material of the rope if it extends in length by {tex} 1 \mathrm { cm } {/tex}. Original length of the rope {tex} = 2 \mathrm { m } {/tex} and the area of cross-section {tex} = 2 \mathrm { cm } ^ { 2 } . {/tex}

Question 22 : The sprinkling of water slightly reduces the temperature of a closed room because

Question 23 : 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 24 : The specific heat capacity of a metal at low temperature (T) is given as {tex} C _ { p } \left( k J K ^ { - 1 } \mathrm { kg } ^ { - 1 } \right) = 32 \left( \frac { T } { 400 } \right) ^ { 3 } {/tex}. A {tex}100{/tex} gram vessel of this metal is to be cooled from {tex} 20 ^ { \circ } \mathrm { K } {/tex} to {tex} 4 ^ { \circ } \mathrm { K } {/tex} by a special refrigerator operating at room temperature {tex} \left( 27 ^ { \circ } \mathrm { C } \right) . {/tex} The amount of work required to cool the vessel is

Question 25 : The ratio of the lengths of two rods is $4:3 $ . The ratio of their coefficients of cubical expasion is $ 2:3 $ . Then the ratio of their liner expansions when they are heated through same temperature difference is :

Question 26 : When the temperature of a rod increases from {tex}\mathrm t{/tex} to {tex} \mathrm { t } + \Delta \mathrm { t } {/tex} , its moment of inertia increases from {tex}\mathrm I{/tex} to {tex} \mathrm { I } + \Delta \mathrm { I } {/tex} . If {tex} \alpha {/tex} be the coefficient of linear expansion of the rod, then the value of {tex} \frac { \Delta \mathrm { I } } { \mathrm { I } } {/tex} is<br>

Question 27 : Which of the following will expand the most for same rise in temperature?

Question 28 : 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 29 : Two rods of same length and area of cross-section {tex} \mathrm { A } _ { 1 } {/tex} and {tex} \mathrm { A } _ { 2 } {/tex} have their ends at the same temperature. If {tex} \mathrm { K } _ { 1 } {/tex} and {tex} \mathrm { K } _ { 2 } {/tex} are their thermal conductivities, {tex} \mathrm c _ { 1 } {/tex} and {tex} \mathrm c _ { 2 } {/tex} are their specific heats and {tex} \mathrm d _ { 1 } {/tex} and {tex} \mathrm d _ { 2 } {/tex} are their densities, then the rate of flow of heat is the same in both the rods if<br>

Question 30 : Two wires {tex} \mathrm A {/tex} and {tex}\mathrm B {/tex} of same material and of equal length with the radii in the ratio {tex}1 : 2{/tex} are subjected to identical loads. If the length of {tex} \mathrm A {/tex} increases by {tex} 8 \mathrm { mm } , {/tex} then the increase in length of {tex} \mathrm { B } {/tex} is

Question 31 : The frequency of light ray having the wavelength $3000\ A^o$ is

Question 32 : Equations of a stationary wave and a travelling wave are $y_1=1\,sin(kx)\,cos (\omega t)$ and $y_2=a\,sin\,(\omega t-kx)$.The phase difference between two points $x_1=\dfrac{\pi}{3k}$ and $x_2=\dfrac{3 \pi}{2k}$ is $\phi_1$ for the first wave and $\phi_2$ for the second wave.The ratio $\dfrac{\phi_1}{\phi_2}$ is

Question 33 : The phase difference between two points separated by 0.8 m in a wave of frequency 120 Hz is $90^{0}$. Then the velocity of wave will be

Question 34 : A progressive wave is represented as $y=0.2\cos \pi (0.04 t+0.2x-\dfrac{\pi}{6})$ where distance is expressed in cm and time in second. What will be the minimum distance between two particles having the phase difference of $\dfrac{\pi}{2}$?

Question 35 : A transverse progressive wave on a stretched string has a velocity of $10ms^{-1}$ and frequency of $100Hz$. The phase difference between two particles of the string which nbare $2.5cm$ apart will be :

Question 36 : 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 37 : Find the size of object which can be featured with $5\space MHz$ in water.

Question 38 : 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 39 : A transverse wave travels along the Z-axis. The particles of the medium must move

Question 40 : The wave function&#160;$\displaystyle y=\frac{2}{(x-3t)^{2}+1}$ is a solution to a linear wave equation, x and y are in cm. Find its speed<br/>