Question

A convex mirror of focal length 10 cm forms an upright and magnified image of a real object placed at a distance of 20 cm from the mirror. Is this true or false?

Answer 1

Given,

The focal length, f=10 cm

The distance of the object, u=20 cm

From the mirror formula,

`(1)/(f)=(1)/(u)+(1)/(v)`

Where v is the image distance.

On substituting the known values,

`\begin{gathered} (1)/(10)=(1)/(20)+(1)/(v) \\ (1)/(v)=(1)/(10)-(1)/(20) \\ =0.05 \end{gathered}`

Thus,

`v=20\text{ cm}`

The magnification is given by,

`m=(-v)/(u)`

On substituting the known values,

`\begin{gathered} m=(-20)/(10) \\ =-2 \end{gathered}`

Thus the image produced is inverted.

Thus the given statement is false.