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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 4 years, 2 months ago

    CBSE > Class 11 > Physics
    • 3 answers

    Aadya Singh 4 years, 2 months ago

    0Thank You

    Aadya Singh 4 years, 2 months ago

    Thanks miss Sadul Sharma ?

    3Thank You

    Sharma Sadul? 4 years, 2 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=4−3​R2                                        (4) Substituting the value from equation (4) to equation (1), (2) and (3), we get P2+Q2=25​R2 P2+4Q2=7R2 P2+Q2=25​R2 Simplify the above equations, we get P2=R2 Q2=23​R2 Thus, the ratio is P:Q:R=√2​:√3​:√2​.

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