1. A cylinder rolls without slipping down an inclined plane, the number of degrees of freedom it has, is

a) 2

b) 3

c) 5

d) 1

Explanation: A cylinder rolls without slipping down an inclined plane, the number of degrees of freedom it has, is 2

2. If the degree of freedom of a gas are f, then the ratio of two specific heats \[C_{P}\diagup C_{V}\] is given by

a) \[\frac{2}{f}+1\]

b) \[1-\frac{2}{f}\]

c) \[1+\frac{1}{f}\]

d) \[1-\frac{1}{f}\]

Explanation:

3. The degrees of freedom of a triatomic gas is

a) 2

b) 4

c) 6

d) 8

Explanation: The degrees of freedom of a triatomic gas is 6

4. A diatomic gas molecule has translational, rotational and vibrational degrees of freedom. The \[C_{P}\diagup C_{V}\] is

a) 1.67

b) 1.4

c) 1.29

d) 1.33

Explanation: A diatomic gas molecule has translational, rotational and vibrational degrees of freedom. The \[C_{P}\diagup C_{V}\] is 1.33

5. For a gas \[\frac{R}{C_{V}}=0.67\] . This gas is made up of molecules which are

a) Diatomic

b) Mixture of diatomic and polyatomic molecules

c) Monoatomic

d) Polyatomic

Explanation: For a gas \[\frac{R}{C_{V}}=0.67\] . This gas is made up of molecules which are Monoatomic

6. The value of C_{V} for one mole of neon gas is

a) \[\frac{1}{2}R\]

b) \[\frac{3}{2}R\]

c) \[\frac{5}{2}R\]

d) \[\frac{7}{2}R\]

Explanation: The value of C

_{V}for one mole of neon gas is \[\frac{3}{2}R\]

7. For an ideal gas of diatomic molecules

a) \[C_{P}=\frac{5}{2}R\]

b) \[C_{V}=\frac{3}{2}R\]

c) \[C_{P}-C_{V}=2R\]

d) \[C_{P}=\frac{7}{2}R\]

Explanation: For an ideal gas of diatomic molecules, \[C_{P}=\frac{7}{2}R\]

8. At constant volume, for different diatomic gases the molar specific heat is

a) Same and 3 cal/mole/°C approximately

b) Exactly equal and its value is 4 cal/mole/°C

c) Will be totally different

d) Approximately equal and its value is 5
cal/mole/°C

Explanation: At constant volume, for different diatomic gases the molar specific heat is approximately equal and its value is 5 cal/mole/°C

9. At constant volume the specific heat of a gas is \[\frac{3R}{2}\] , then the value of '\[\gamma\] ' will be

a) \[\frac{3}{2}\]

b) \[\frac{5}{2}\]

c) \[\frac{5}{3}\]

d) None of the above

Explanation: \[\frac{5}{3}\]

10. The specific heat of a gas at constant volume is 21.2 J/mole/°C. If the temperature is increased by
1°C keeping the volume constant, the change in its internal energy will be

a) 0

b) 21.2 J

c) 42.2 J

d) 10.6 J

Explanation: