Statement I : If the current of a lamp increases by `20 %`, the percentage increases in the illlumination of the lamp is `40%`.
Statement II : Illumination of the lamp is directly proportional to the square of the current through the lamp.

Options

A. Statement I is True , Statement II is True , Statement II is a correct explanation for Statement I.
B. Statement I is True, Statement II is True , Statement II is NOT a correct explanation for statement I.
C. Statement I is True , Statement is False.
D. Statement I is False, Statement II is True.

Answer

D

Explanation

`H prop I^(2) rArr (H_(2))/(H_(1)) = ((I_(2))/(I_(1)))^(2) = ((1.2I_(1))/(I_(1)))^(2) = 1.44`
There is `44%` increase in illumination.