Degrees of Freedom, Law of Equipartition of Energy and Applications to Specific Heat Capacities of Gases NEET Questions

Degrees of Freedom, Law of Equipartition of Energy and Applications to Specific Heat Capacities of Gases MCQ Questions

7.
A diatomic molecule that is NOT a rigid rotator (has vibrational mode) has total degrees of freedom equal to:
A.
5
B.
9
C.
7 (3 translational + 2 rotational + 2 vibrational)
D.
6
ANSWER :
C. 7 (3 translational + 2 rotational + 2 vibrational)
8.
One vibrational mode contributes how many squared terms (degrees of freedom) to the total energy expression?
A.
3 (one for each spatial direction)
B.
2 (one kinetic + one potential energy term)
C.
1 (only kinetic energy term)
D.
4 (two kinetic + two potential)
ANSWER :
B. 2 (one kinetic + one potential energy term)
9.
The kinetic energy of a single monatomic gas molecule moving in three dimensions is expressed as:
A.
εt = mvx² + mvy² + mvz²
B.
εt = ½mv²x only
C.
εt = ½mvx² + ½mvy² + ½mvz²
D.
εt = (3/2)mv²
ANSWER :
C. εt = ½mvx² + ½mvy² + ½mvz²
10.
The motion of a body as a whole from one point to another is called:
A.
Translation
B.
Oscillation
C.
Rotation
D.
Vibration
ANSWER :
A. Translation
11.
A molecule constrained to move along a straight line (one dimension) has how many translational degrees of freedom?
A.
1
B.
0
C.
2
D.
3
ANSWER :
A. 1
12.
A molecule constrained to move in a plane (two dimensions) has how many translational degrees of freedom?
A.
3
B.
2
C.
4
D.
1
ANSWER :
B. 2