Two vectors of equal magnitude `P` are inclined at some angle such that the difference in magitude of resultant and magnitude of either of the vectors is `0.732` times either of the magnitude of vectors. If the angle between them is increased by half of its initial value then find the magnitude of difference of the vectors

Options

A. `2P`
B. `sqrt2P`
C. `3P`
D. `sqrt3P`

Answer

B

Explanation

`R-P=0.732P,R=1.732P=sqrt3P`
But `2P.cos(theta/2)=sqrt3P,theta^(1)=theta+theta/2`