Question 1 :
A liquid is flowing in a horizontal uniform capillary tube under a constant pressure difference p. The value of pressure for which the rate of flow of the liquid is doubled when the radius and length both are doubled, is

Question 2 :
A capillary tube of radius $r$ is immersed in water and water rises to a height of $h$. Mass of water in the capillary tube is $5\times 10^{-3}kg$. The same capillary tube is now immersed in a liquid whose surface tension is $\sqrt{2}$ times the surface tension of water. The angle of contact between the capillary tube and this liquid is $45^o$. The mass of liquid which rises into the capillary tube now is (in kg):

Question 3 :
Consider the equations $P = \displaystyle \lim_{\triangle S\rightarrow 0} \dfrac {F}{\triangle S}$ and $P_{1} - P_{2} = \rho gz$.<br>In an elevator accelerating upward.

Question 4 :
A capillary tube with inner cross-section in the form of a square of side a is dipped vertically in a liquid of density $ \rho $ and surface tension $ \sigma $ which wet the surface of capillary tube with angle of contact $ \theta $. The approximate height to which liquid will be raised in the tube is : (Neglect the effect of surface tension at the corners of capillary tube)

Question 5 :
A right angled tube is fixed horizontally on a horizontal surface and an ideal liquid of density p is flowing into the tube at the rate of $Q = 4 m^3/s$ Cross sectional area of the tube at intake and outlet positions are $A = 2 m^2$ and $S = 1 m^2$ respectively. The magnitude of net force exerted by liquid on the tube is (Given that the value of atmospheric pressure $P_o = 4p N/m^2$)

Question 6 :
A spherical tank of 1.2 m radius is half filled with oil of relative density 0.8. if the tank is given a horizontal acceleration of $10 m/s^2$, the maximum pressure on the tank is $\sqrt{2 p}$ pascal. Find the value of P.

Question 7 :
Which of the following property is used to identify whether a substance is a solid, liquid or gas ?

Question 8 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"></span></span><p class="wysiwyg-text-align-left">If the volume of the gas is to be increased by 4 times :</p>

Question 9 :
If the pressure of a gas remains constant and the temperature is doubled as a result of it the volume of the gas also gets doubled. Identify by which of the following law this can be explained ?

Question 10 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"></span></span><p class="wysiwyg-text-align-left">The parameter that determine the physical state of gas are :<br/></p><p class="wysiwyg-text-align-left">a) Pressure b) Volume</p><p>c) Number of moles d) Temperature</p>

Question 11 :
An ideal gas is enclosed in a sealed container. Upon heating, which property of the gas does not change?

Question 13 :
Assertion: If pressure of an ideal gas is doubled and volume is halved, then its internal energy will remain unchanged. Reason: Internal energy of an ideal gas is a function of temperature only.

Question 15 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"></span></span><p class="wysiwyg-text-align-left">Follwing operation are carried out on a sample of <span>ideal gas initially at pressure P volume V and </span><span>kelvin temperature T.</span></p><p class="wysiwyg-text-align-left">a) At constant volume, the pressure is increased <span>fourfold.</span></p><p class="wysiwyg-text-align-left">b) At constant pressure, the volume is doubled</p><p class="wysiwyg-text-align-left">c) The volume is doubled and pressure halved.</p><p class="wysiwyg-text-align-left">d) If heated in a vessel open to atmosphere, one-fourth <span>of the gas escapes from the vessel.</span></p><p class="wysiwyg-text-align-left">Arrange the above operations in the increasing <span>order of final temperature.</span></p>

Question 16 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"><p class="wysiwyg-text-align-left">A car tyre has air at 1.5 atm at 300 K.If P increases to 1.75 atm with volume same, the temperature will be ____</p></span></span>

Question 17 :
A vessel of volume V $=$ 30 l contains ideal gas at the temperature $0^\circ$ After a portion of the gas has been let out, the pressure in the vessel decreased by $\Delta p=0.78$ atm (the temperature remaining constant). Find the mass of the released gas. The gas density under the normal conditions $\rho=1.3\:g/l$

Question 18 :
The volume of mole of a prefect gas at NTP is <span>______.</span>

Question 19 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"><p class="wysiwyg-text-align-left">A glass tube sealed at both ends is 1m long. It lies horizontally with the middle 10 cm containing Hg. The two ends of the tube equal in length <span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">contain air at </span></span>27$^{0}$<i>C </i><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">and pressure 76 cm of Hg. </span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">The temperature at one end is kept </span></span>0$^{0}$<i>C </i><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">and at </span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">the other end it is </span></span>127$^{0}$<i>C </i><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">Neglect the change </span></span>in length of Hg column. Then the change in length on two sides is</p></span></span>

Question 21 :
(1):In uniform circular motion, tangential acceleration is zero.<div>(2) : In uniform circular motion, velocity is constant.<br/></div>

Question 23 :
A boy is running along the circumference of a stadium with constant speed. Which of the following is changing in this case?

Question 24 :
A particle is moving along a circle with uniform speed. The physical quantity which is constant both in magnitude and direction, is<br>

Question 26 :
A circular disc is rotating about its own axis at uniform angular velocity $\omega$. The disc is subjected to uniform angular retardation by which its angular velocity is decreased to $\dfrac{\omega}{2}$ during $120$ rotations. The number of rotations further made by it before coming to rest is:<br>

Question 27 :
When a ceiling fan is switched off, its velocity falls to half in 36 rotations. How many more rotations it will make?<br>

Question 28 :
The sun revolves around galaxy with speed of $250 {km}/{s}$ around the center of milky way and its radius is $3 \times {10}^{4}$ light year. The mass of milky way in $kg$ is

Question 29 :
Find the total acceleration of the point as a function of velocity and the distance covered.

Question 30 :
A particle of mass m is tied to a string of length L. The free end of the string is fixed and the particle is whirled in a circular path. The speed of the particle increases from 5 m/s to 10 m/s for 5 secs. The motion is

Question 31 :
Velocity of a particle varies as $\vec{V}=y\hat{i}-x\hat{j}$ under the effect of a single variable force. Then<br/>

Question 32 :
A particle has initial velocity, $\displaystyle \vec{v}=3\hat{i}+4\hat{j}$ and a constant force $\displaystyle \vec{F}=4\hat{i}-3\hat{j}$ acts on it. The path of the particle can be:

Question 33 :
Assertion: Work done by friction force in case of pure rolling,is equal to change in rotational energy. Reason: Ratio of kinetic energy of rotation to kinetic energy of translation is fixed for every case.

Question 34 :
A merry-go-round, made of a ring-like platform of radius R and mass M. is revolving with angular speed $\omega$? A person of mass M is standing on it. At one instant., the person jumps off the<br>round, radially away from the center of the round (as seen from the round). The speed of the round afterwards is: