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Assertion (A) Energy per unit volume and...

Assertion (A) Energy per unit volume and angular momentum can be added dimensionally.
Reason (R ) Physical quantities having same dimension 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.

Text Solution

Verified by Experts

The correct Answer is:
D
The units of energy per unit volume is `J//m^(3) or kg//m-s^(2)` and that for angular momentum is `kg-m^(2)//s`
Since, they are not dimensionally equal, they cannot be added, so the Assertion (A) is false. Only those physical quantities that have same dimensions can be added or subtracted, so Reason (R ) is true.
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Knowledge Check

  • (A) : A dimensionless quantity may have unit. (R) : Two physical quantities having same dimensions, may have different units.

    A
    Both (A) and (R) are true and (R) is the correct explanation of (A)
    B
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    (A) is true but (R) is false
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    A
    Both (A) and (R) are true and (R) is the correct explanation of (A)
    B
    Both (A) and (R) are true and (R) is not the correct explanation of (A)
    C
    (A) is true but (R) is false
    D
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    A
    Both (A) and (R) are true and (R) is the correct explanation of (A)
    B
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