First slide

Motion in a plane

Question

Maximum and minimum magnitudes of the resultant of two vectors of magnitudes P and Q are found to be in the ratio 3 : 1. Which of the following relations is true ?

Moderate

A

P = Q
B

P = 2Q
C

P = 4Q
D

P = Q/3

Solution

$\large \frac{{{R_{\max }}}}{{{R_{\min }}}} = \frac{{P + Q}}{{P - Q}} = \frac{3}{1}$
3P - 3Q = P + Q
⇒ 2P = 4Q ⇒ P = 2Q

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