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Q.

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

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a

2π3

b

3π4

c

4π5

d

5π6

answer is A.

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Detailed Solution

tanα = 2psinθp+2pcosθ; here α = 900⇒ ∞ = 2psinθp+2pcosθ  ⇒p+2pcosθ = 0⇒ cosθ= -12    ⇒ θ = 2π3
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