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Q.

The resultant of two vectors P&Q is  R . If the magnitude of  Q is doubled the new resultant becomes perpendicular to  P then magnitude of  R is

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a

P2-Q22PQ

b

PQ

c

Q

d

P+QP-Q

answer is C.

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Detailed Solution

R2 = P2 +Q2 + 2PQ cosθ when Q is doubled

tan90=2QsinθP+2Qcosθ P+2Qcosθ=0 2Qcosθ=-P  

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