Question

A spherical mirror produce three times larger real image of an object when it is place at 16 cm in front of it.

Answer 1

focal length of spherical mirror is 12cm .

A spherical mirror produce three times larger real image of an object.

so, mirror is concave in nature.

as image is real so, magnification of mirror would be m = -3 [ as we know real image is inverted so magnification of mirror would be negative ]

given, u = -16 cm

as we know, m = -v/u = -3

⇒-v/-16cm = -3

⇒v = -48cm

now using mirror formula, 1/f = 1/v + 1/u

⇒1/f = 1/-48 + 1/-16

= 1/-48 - 3/48

= -4/48

= -1/12

f = -12cm

hence, focal length of spherical mirror is 12cm

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Answer 2

$\huge\bold\purple{Answer:-}$

A spherical mirror produce three times larger real image of an object. so, mirror is concave in nature. of 12cm in front of concave mirror. an object is 2 cm high is placed at a distance of 16 cm from a concave mirror .