vector L and vector p are angular momentum about origin and linear momentum of a particle.

Question

\(\vec L\ \text{and} \ \vec p\) are angular momentum about origin and linear momentum of a particle. If position vector of particle is given as \(\vec r =a (\sin \omega\ t\hat i + \cos \omega t\hat j)\) then direction of force is

(1) Opposite to \(\vec L \times \vec r\)

(2) Opposite to \(\vec p \times \vec r\)

(3) Opposite to \(\vec L .\vec r\)

(4) Opposite to \(\vec p \times \vec L\)

Answer 1

Correct option is : (4) Opposite to \(\vec p \times \vec L\)