AP EAMCET201825 Apr 2018Morning ShiftPhysicsUnits and DimensionsActual
Assertion (A) : Energy per unit volume and angular momentum can be added dimensionally. Reason (R) : Physical quantities having same dimensions can be added or subtracted.
Options
- ABoth (A) and (R) are true and (R) is the correct explanation of (A)
- BBoth (A) and (R) are true but (R) is not the correct explanation of (A)
- C(A) is true but (R) is false
- D(A) is false but (R) is true
Correct answer
D. (A) is false but (R) is true
Step-by-step solution
The unit of energy per unit volume is, J m 3 = J   m - 3 means, kg   m - 1   s - 2 and the unit of angular momentum, m v r = kg   m 2   s - 1 are not same so they can not be added, so we can say that same unit quantities can be added and subtracted and same unit quantities have same dimension.