Match List - I with List - II.
List - I | List – II | ||
(A) | Mass density | (I) | |
(B) | Impulse | (II) | |
(C) | Power | (III) | |
(D) | Moment of inertia | (IV) |
Choose the correct answer from the options given below:
Text Solution
Verified by ExpertsD
Mass density:
Mass density is defined as mass per unit volume.
The dimension of mass is 
.
The dimension of volume is 
.
Therefore, the dimension of mass density is 
.
Matches with (IV).
Impulse:
Impulse is defined as the change in momentum, or force multiplied by time.
Impulse 
Force 
Time
The dimension of force is 
.
The dimension of time is 
.
Therefore, the dimension of impulse is 
.
Matches with (II).
Power:
Power is defined as the rate of doing work or energy per unit time.
Power = Work / Time
The dimension of work (or energy) is 
.
The dimension of time is 
.
Therefore, the dimension of power is 
.
Matches with (I).
Moment of inertia:
Moment of inertia is defined as 
, where m is mass and r is the distance from the axis of rotation.
The dimension of mass is 
.
The dimension of distance squared is 
.
Therefore, the dimension of moment of inertia is 
.
Matches with (III).
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