Assertion: When percentage error in the meansurement of mass and velocity are `1%` and `2%` respectively the percentagwe error in K.E. is `5%`.
Reason: `(Delta K)/(K) = (Delta m)/(m) = (2 Delta v )/(v)`.

Options

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

Answer

A

Explanation

KE = `(1)/(2)mv^(2)rArr(DeltaE)/(E)=(Deltam)/(m)+(2Deltav)/(v)`
`rArr(DeltaE)/(E)xx100=((Deltam)/(m))xx100+2((Deltav)/(v)xx100)=1+2(2)=5%`