An object 1 cm tall is placed 4 cm in front of a mirror. In order to produce an upright image of 3 cm height one needs a

Question

An object 1 cm tall is placed 4 cm in front of a mirror. In order to produce an upright image of 3 cm height one needs a (A) Convex mirror of radius of curvature 12 cm (B) Concave mirror of radius of curvature 12 cm (C) Concave mirror of radius of curvature 4 m (D) Plane mirror of height 12 cm

Tardigrade Admin · Accepted Answer

Erect and enlarged image can produced by concave mirror. (I/O)=(f/f-u) ⇒ (+3/+1)=(f/f-(-4)) ⇒ f=-6 cm ⇒ R=2 f=-12 cm

Q. An object $1 c m$ tall is placed $4 c m$ in front of a mirror. In order to produce an upright image of $3 c m$ height one needs a

Convex mirror of radius of curvature $12 c m$

Concave mirror of radius of curvature $12 c m$

Concave mirror of radius of curvature $4 m$

Plane mirror of height $12 c m$

Erect and enlarged image can produced by concave mirror.
$\frac{I}{O} = \frac{f}{f - u} \Rightarrow \frac{+ 3}{+ 1} = \frac{f}{f - ( - 4 )}$
$\Rightarrow f = - 6 c m$
$\Rightarrow R = 2 f = - 12 c m$

Q. An object 1cm tall is placed 4cm in front of a mirror. In order to produce an upright image of 3cm height one needs a

Convex mirror of radius of curvature 12cm

Concave mirror of radius of curvature 12cm

Concave mirror of radius of curvature 4m

Plane mirror of height 12cm