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Questions  

If the resultant of two forces of magnitude p and 2p is perpendicular to p, then the angle between the forces is

a
2π3
b
3π4
c
4π5
d
5π6

detailed solution

Correct option is A

tan⁡α=2psin⁡θp+2pcos⁡θ  here θ=90∘⇒ ∞=2psin⁡θp+2pcos⁡θ⇒p+2pcos⁡θ=0⇒ cos⁡θ=12⇒θ=2π3

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