Assertion : A body cannot have energy without possessing momentum but it can have momentum without having energy.
Reason : Momentum and energy have same dimensions.

Options

A. If both, Assertion and Reason are true and Reason is correct explantion of 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

D

Explanation

Here, both Assertion and Reason are false. A raised body at rest has energy `(PE)` but no momentum `(p)`, but to possess momentum `(p)` a body should have `KE` as `KE=(p^(2))/( 2m)`. Also dimensions of momentum `=[MLT^(-1)]` and dimensions of energy `= ML^(2)T^(-2)`