AP EAMCET · PHYSICS · Units and Dimensions
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.
- 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
Answer & Solution
Correct Answer
(D) (A) is false but (R) is true
Step-by-step Solution
Detailed explanation
The units of energy per unit volume is \(\mathrm{J} / \mathrm{m}^3\) or \(\mathrm{kg} / \mathrm{m}-\mathrm{s}^2\) and that for angular momentum is \(\mathrm{kg}-\mathrm{m}^2 / \mathrm{s}\). Since, they are not dimensionally equal, they cannot be added, so the Assertion (A) is…
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