Assertion: The error in the measurement of radius of sphere is `0.3%`. The permissible error in its surface area is `0.6 %`.
Reason: The permissible error is calculated by the formula `(Delta A)/(A) = (4 Delta r)/( r)`.

Options

A. If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
B. If both , Assertion and Reason are true but Reason is not a correct explanation of the Assertion.
C. If Assertion is true but the Reason is false.
D. If both, Assertion and Reason are false.

Answer

(c )

Explanation

Here, assertion is true, but reason is false.
as `A = 4 pi r^2, :. (DeltaA)/(A) = (2 Delta r)/(r ) = 2xx 0.3 % = 0.6 %`
Also `(DeltaA)/(A) != (4 Delta r)/(r )`, So reason is false.