Question

Assertion :$1m{m}^2={10}^{-6}{m}^2$ Reason: The numerical value of physical quantity is less for a smaller unit.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Assertion is incorrect but Reason is correct

Answer 1

The correct option is C Assertion is correct but Reason is incorrect

Larger is the unit of physical quantity, smaller is the numerical value of the quantity and vice-versa.
We know that $1mm={10}^{-3}m$
Thus $1m{m}^2=1m{m}^2\times \frac{({10}^{-3}m{)}^2}{1m{m}^2}={10}^{-6}{m}^2$