Question:

If $F_1(Q, q) = Qq$ is the generating function of a canonical transformation from $(p, q)$ to $(P, Q)$ , then which one of the following relations is correct?

Updated On: Feb 8, 2025

$\frac{p}{P} = \frac{Q}{q}$
$\frac{P}{p} = \frac{Q}{q}$
$\frac{p}{P} = -\frac{Q}{q}$
$\frac{P}{p} = -\frac{Q}{q}$

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The Correct Option is C

Solution and Explanation

The correct option is (C) :

\frac{p}{P} = -\frac{Q}{q}

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