A particle moves in the X − Y plane under the influence of a force such that its linear momentum is p ( t ) = A [ i ^ cos k t − j ^ sin k t ] , where A and k are constants. The angle between the for

Question

A particle moves in the X − Y plane under the influence of a force such that its linear momentum is p ( t ) = A [ i ^ cos k t − j ^ ​ sin k t ] , where A and k are constants. The angle between the force and the momentum is

TestHub · Accepted Answer

​ F = d t d p ​ = − k A sin k t i ^ − k A cos k t j ^ ​ p = A cos k t i ^ − A sin k j ^ ​ ​ Since, F ⋅ p = 0 ∴ Angle between F and pshould be 9 0 ∘ . ∴ Correct option is ( d ) .

Physics - Vectors Question with Solution | TestHub

Options:

Doubts & Discussion

JEE Main (2028)