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Question: Answered & Verified by Expert

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.

PhysicsUnits and DimensionsAP EAMCETAP EAMCET 2018 (25 Apr Shift 1)
Options:
  • A Both (A)  and (R) are true and (R) is the correct explanation of (A)
  • B Both (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
Solution:
1063 Upvotes Verified Answer
The correct answer is: (A) is false but (R) is true

The unit of energy per unit volume is,

Jm3=J m-3 means, kg m-1 s-2 and the unit of angular momentum, mvr=kg m2 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.

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