JEE Main Physics question

Physics Work, Energy and Power JEE Main

Statement 1: Kinetic energy of a body is quadrupled, when its velocity is doubled. Statement 2: Kinetic energy is proportional to the square of velocity.

(A)Assertion is True, Reason is True; Reason is correct explanation for AssertionCorrect
(B)Assertion is True, Reason is True; Reason is not correct explanation for Assertion
(C)Assertion is True, Reason is False
(D)Assertion is False, Reason is True

Answer: (A)

Solution

K = ½mv², so K ∝ v². Doubling v quadruples K, confirming Statement 1, which follows directly from the v² dependence stated in Statement 2.

Question ID VK-154178