Degree of Freedom

Q. If a gas has f degrees of freedom, the ratio $C_p/C_v$ of the gas is

1. $\frac{1+f}{2}$
   
2. $1+\frac{f}{2}$
   
3. $\frac{1}{2}+f$
   
4. $1+\frac{2}{f}$

Q. A uniform solid ball first rolls purely along a floor, then up a ramp inclined at 30^° It momentarily stops when it has rolled 1.5 m along the ramp. Its initial speed is approximatel

Q. When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60^0 with horizontal it can travel a dis†an ce x1 along the plane but when the inclination is decreased to 30^0 and the same object is shot with the same velocity it can travel x2 dis†an ce then x1:x2 will be

Q. 34. When a ceiling fan is switched on it makes 10 revolution in the first 4 seconds assuming a uniform angular acceleration how many Revolution it will make in the next 4 second.

Q. A girl is riding a bike with the speed of 100 km/hr on an inclined plane of 37 degree. The rain is falling with speed of 50 km/hr at an angle of 53 degree with the horizontal. At what angle with the vertical the girl should open umbrella to protect herself from the rain?

Q.

Molar specific heat at constant volume $C_v$ for a monoatomic gas is

1. 

2. 

3. 3R

4. 2R

Q. what is the maximum speed with which a car can move over a convex bridge

Q. q .2 projectiles A & B are projected with angle of projection 15^° for the projectile A & 45^° for the projectile B. If Ra & Rb be the horizontal range for the 2 projectiles, then a. Ra Rb d.information insufficient

Q. 19.There are two parallel planes , each inclined to the horizontal at an angle @. a particle is projected from a point mid way between the foot of the two planes so that it grazes one of the planes and strikes the other at right angle . Find the angle of projection of the partical

Q. For a projectile thrown up an incline plane (making an angle θ with horizontal), maximum range on then he achieved by projecting at an anglefrom the horizontal (0 is acute).range on the ground can be achiee

Q.

A monoatomic gas molecule has

1. Six degrees of freedom

2. Five degrees of freedom

3. Three degrees of freedom

4. Four degrees of freedom

Q. The horizontal range is four times the maximum height attained by a projectile.The angle of projection is (a)90^0 (b)60^0 (c)45^0 (d)30^0

Q. a ship is 10km due west of ship b. ship ais heading directly northat aspeed of 30kmph and ship b is heading in a direction 60 degrees west of north at 20kmph what will be the closest dis†an ce of their approach

Q. a thin uniform circular ring is rolling down an inclined plane of inclination 30^° without slipping . its limear accleration along the inclined plane is

Q. A point on a body performing pure rotation is 10 cm from the axis of rotation of body. Angular position of the point from reference line is given by θ=0.5e^{2t } , where θ is in radian and t in second. The acceleration of the point is

Q. Projectile fired at thitha =45 with horizontal elevations angle of Angthe elevationsprojectile at the highest point as seen from the point of projectile .is there any role of thitha here??

Q. A vector of length l is turned through the angle θ about its tail. What is the change in the position vector of its head? why should we take 180 -theta and why not 60 degree? when should we use phi value instead of theta?

Q. The ratio of average translational kinetic energy to rotational kinetic energy of a diatomic molecule at temperature T is

1. $3$
2. $\frac{7}{5}$
3. $\frac{5}{3}$
4. $\frac{3}{2}$

Q. a shot is fired at an angle θ to the horizontal such that it strikes the hill while moving horizontally .find the initial angle of projection

Q. An ideal gas having initial pressure $P$ volume $V$ and temperature $T$ is allowed to expand adiabatically until its volume becomes $5.66V$, while its temperature falls to $T/2$. Find the number of degrees of freedom of the gas molecule.
(Take $(5.66{)}^{0.4}=2)$

1. $2$
2. $3$
3. $5$
4. $6$

Q. A juggler maintains 8 balls in vertical motion, andeach ball rise to a height of 80 m from his handThe height of first ball from his hand, when 8th baljust leaving his hand will be

Q. When an object is shot from the bottom of a longsmooth inclined plane kept at an angle 60^° withhorizontal, it can travela distance x along theplane. But when the inclination is decreased to30^° and the same object is shot with the samevelocity, it can travel x2 distance. Then x1 x2will be:(1) 1: 22: 1(2)1:3(4) 1:2/3

Q. In the above question, if $\gamma =1.5$ the gas may

1. monoatomic
2. diatomic
3. a mixture of monoatomic and diatomic gas
4. a mixture of diatomic and triatomic gas

Q. Define Degree of freedom

Q. A rec†an gular plate of side a and b is suspended from a ceiling by two parallel strings of length L each. The separation between the strings is d. If plate displaced slightly find its time period.

Q. When an object is shot from bottom of an inclined plane at 60° it can travel distance x1. But when inclination is decreased to 30° if can travel x2 distance. Then x1:x2 will be

Q.

what is degree of freedom?

Q.

what is degree of freedom for diatomic molecule

Q. A solid sphere rolls down two different incline plane of same height but different angles of inclination (a) will it reaches the bottom with the same speed in each case (b) will it take longer to roll down one plane than the other (c) if so which one and why

Q. the degree of freedom of a monoatomic gas molecule is