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 the asseration and reason are true and reason is a true explanation of the asseration.
B. If both the asseration and reason are true but the reason is not the correct explanation of asseration.
C. If the asseration is ture but reason is false.
D. If both the asseration and reason are false.

Answer

c

Explanation

`A = 4 pi r^(2) `(error will not be involved in constant `4 pi` )
Fractional error `(Delta A)/(A) = (2 Delta r)/(r )`
`(Delta A)/(A) xx 100 = 2 xx 0.3% = 0.6%`
but `(Delta A)/(A) = (4 Delta r)/(r)` is false