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The resultant of vector P n …

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The resultant of vector P n Q is vector R. If vector Q is doubled, vector R is doubled. When vector Q is reversed, vector R is again doubled. Find P:Q:R.

Posted by Aadya Singh 3 years, 7 months ago

CBSE > Class 11 > Physics

3 answers

Aadya Singh 3 years, 6 months ago

0Thank You

Aadya Singh 3 years, 7 months ago

Thanks miss Sadul Sharma ?

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Sharma Sadul? 3 years, 7 months ago

Let take the angle between P and Q is θ. The force expression according to given conditions are given as, P2+Q2+2PQcosθ=R2 (1) When Q is doubled, P2+4Q2+4PQcosθ=4R2 (2) When Q is reversed, P2+Q2−2PQcosθ=4R2 (3) Subtracting equation (3) from equation (1), we get 4PQcosθ=−3R2 PQcosθ=4−3R2 (4) Substituting the value from equation (4) to equation (1), (2) and (3), we get P2+Q2=25R2 P2+4Q2=7R2 P2+Q2=25R2 Simplify the above equations, we get P2=R2 Q2=23R2 Thus, the ratio is P:Q:R=√2:√3:√2.

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Posted by Deepak Kumar 1 week ago

CBSE > Class 11 > Physics

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