A pattern of shaving is made in such a way, that a person 30 cm away from the mirror sees his image to be 1.33 times larger. What is the radius of curvature of the cast?​

Correct option is D

The correct answer is (d) 34.25 cm​

Explanation:​

Given, Object distance = -30 cm

Magnification, M= 1.33

We know that M= -$$\frac{v}{u}$$​​

that is, 1.33= $$\frac{-v}{-30}$$​​

thus, v= 39.9 cm

The mirror formula is given as $$\frac{1}{f}$$ = $$\frac{1}{v}$$ + $$\frac{1}{u}$$

​​$$\frac{1}{39.9}$$ + $$\frac{1}{30}$$ = $$\frac{1}{f}$$

thus, f= 17.1244 cm

Also, we know, f = $$\frac{R}{2}$$​ 

Thus, R(Radius of curvature) = 2x 17.1244 = 34.25 cm