Question 1 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"></span></span><p class="wysiwyg-text-align-left">Select the correct formula :</p><p class="wysiwyg-text-align-left">(where k=Boltzmann's constant, R= gas constant, n= moles, r = density, M= molecular weight, p= pressure, T= kelvin temperature, V= volume)<br/></p><p class="wysiwyg-text-align-left"><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">a) k=RN$_{av}$</span></span><span class="wysiwyg-font-size-xx-small"><span class="wysiwyg-font-size-xx-small"> </span></span></p><p class="wysiwyg-text-align-left"><span class="wysiwyg-font-size-xx-small"><span class="wysiwyg-font-size-xx-small"></span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">b)$r=\dfrac{nM}{V}$</span></span></p><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"></span></span><p class="wysiwyg-text-align-left">c)$\dfrac{p}{r}=\dfrac{RT}{M}$</p><p class="wysiwyg-text-align-left"><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">d) R=kN$_{av}$</span></span></p>

Question 3 :
A large glacier melts at the base but not at the top because

Question 4 :
With increases of temperature, the vibration volume in any substance _____

Question 5 :
When a solid object is heated, the molecules that make up&#160;the object:

Question 6 :
Which of the following property is used to identify whether a substance is a solid, liquid or gas ?

Question 7 :
A vessel contains 28 gm of $N-2$ and 32 gm of $O_2$ at temperature T = 1800 K and pressure 2 atm pressure it $N_2$ dissociates $30%$ and $O_2$ dissociates $50%$ if temperature remains constant.&nbsp;

Question 8 :
A graph is plotted with PV/T on y-axis and mass of the gas along x-axis for different gases. The graph is&nbsp;

Question 9 :
An ideal gas is expanding such that $P T ^ { 2 } =$ constant.&nbsp;<span>The coefficient of volume expansion of the gas is</span>

Question 10 :
r.m.s. speed of ideal gas at $127^oC$ is $200m/s$, the r.m.s. speed of same ideal gas at temperature $227^oC$ is:

Question 11 :
<span>In physics,&#160;the&#160;mean free path&#160;is the average distance traveled by a moving particle (such as an atom , a molecule, a photon)&#160;between successive impacts (collisions),&#160;which modify its direction or energy or other particle properties.&#160;</span>In which of the following mean free path is used ?

Question 12 :
A container is divided into two equal parts I and II by a partition with a small hole of diameter d. The two partitions are filled with same ideal gas, but held at temperatures $T_I=150$K and $T_{II}=300$K by connecting to heat reservoirs. Let $\lambda_I$ and $\lambda_{II}$ be the mean free paths of the gas particles in the two parts such that $d &gt; &gt; \lambda_I$ and $d &gt; &gt; \lambda_{II}$. Then $\lambda_I/\lambda_{II}$ is close to.

Question 13 :
Ten small planes are flying at a speed of $150$km $h^{-1}$ in total darkness in an air space that is $20\times 20\times 1.5km^3$ in volume. You are in one of the planes, flying at random within this space with no way of knowing where the other planes are. On the average about how long a time will elapse between near collision with your plane. Assume for this rough computation that a safety region around the plane can be approximated by a sphere of radius $10$m.

Question 14 :
Some gas at $300\ K$ is enclosed in a container. Now, the container is placed on a fast moving train. While the train is in motion, the temperature of the gas

Question 15 :
Ten small planes are flying at a speed of $150$km $h^{-1}$ in total darkness in an air space that is $20\times 20\times 1.5km^3$ in volume. You are in one of the planes, flying at random within this space with no way of knowing where the other planes are. On the average about how long a time will elapse between near collision with your plane. Assume for this rough computation that a safety region around the plane can be approximated by a sphere of radius $10$m.