Download the app

Questions  

When two vectors of magnitudes P and Q are inclined at an angle θ, the magnitude of their resultant 2P. When the inclination is changed to 180-θ, the magnitude of the resultant is halved. Find the ratio of P to Q.

a
2 : 3
b
1 : 3
c
1 : 2
d
3 : 2

detailed solution

Correct option is A

R12 = (2P)2 = P2+Q2+2PQcosθ(P)2 = P2+Q2-2PQcosθAdding them 5P2 = 2P2+2Q2or 3P2 = 2Q2   ⇒  PQ = 23

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?


Similar Questions

(N-1) identical forces of magnitude F act simultaneously on a particle each making an angle of 2πN with the preceding one, the resultant is


phone icon
whats app icon