A convex mirror of focal length 20 , cm is fi | vedclass

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(D) The magnification $m$ of a mirror is given by $m = \frac{f}{f - u}$.The image velocity $v_i$ is related to the object velocity $v_o$ by $v_i = -m^

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$1/15 \, m/s$

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(D) The magnification $m$ of a mirror is given by $m = \frac{f}{f - u}$.The image velocity $v_i$ is related to the object velocity $v_o$ by $v_i = -m^2 v_o$.Given: Focal length $f = +20 \, cm = +0.2 \, m$ (convex mirror).Object distance $u = -2.8 \, m$.Object velocity $v_o = 15 \, m/s$.First,calculate the magnification $m$:$m = \frac{0.2}{0.2 - (-2.8)} = \frac{0.2}{3.0} = \frac{1}{15}$.Now,calculate the image velocity $v_i$:$v_i = -m^2 v_o = -(\frac{1}{15})^2 	imes 15 = -\frac{1}{225} 	imes 15 = -\frac{1}{15} \, m/s$.The magnitude of the speed is $1/15 \, m/s$.

$A$ convex mirror of focal length $20 \, cm$ is fitted in a car. $A$ second car,which is $2.8 \, m$ away,overtakes the first car at a relative speed of $15 \, m/s$. What will be the speed of the second car as observed in the mirror of the first car?

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