A concave mirror of focal length 10 cm forms | vedclass

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(B) For a concave mirror,the magnification $m$ can be $\pm 2$ because the image can be real (inverted) or virtual (erect).The focal length $f = -10$ c

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$10$

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(B) For a concave mirror,the magnification $m$ can be $\pm 2$ because the image can be real (inverted) or virtual (erect).The focal length $f = -10$ cm.$1$) For real image,$m = -2$:Using $m = \frac{f}{f-u}$,we have $-2 = \frac{-10}{-10-u} \Rightarrow -2 = \frac{10}{10+u} \Rightarrow -20 - 2u = 10 \Rightarrow 2u = -30 \Rightarrow u_1 = -15$ cm.$2$) For virtual image,$m = +2$:Using $m = \frac{f}{f-u}$,we have $2 = \frac{-10}{-10-u} \Rightarrow 2 = \frac{10}{10+u} \Rightarrow 20 + 2u = 10 \Rightarrow 2u = -10 \Rightarrow u_2 = -5$ cm.The distance between the two positions is $|u_1 - u_2| = |-15 - (-5)| = |-10| = 10$ cm.

$A$ concave mirror of focal length $10$ cm forms an image which is double the size of the object when the object is placed at two different positions. The distance between the two positions of the object is . . . . . . cm.

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