Find the value of 'X' and 'h' in the following diagram.

Correct option is B

​$$\text{Given:} \\\text{Position of Object for concave mirror, } u = -15 \, \text{cm} \\\text{Radius of curvature, } R = -20 \, \text{cm} \\\text{Focal length, } F = \frac{-R}{2} = -10 \, \text{cm} \\\text{Size of Object, } h_o = 2 \, \text{cm}$$

$$\text{Use the mirror formula:} \\\frac{1}{F} = \frac{1}{u} + \frac{1}{v} \Rightarrow \frac{1}{-10} = \frac{1}{-15} + \frac{1}{v} \\ \text{Simplifying:} \\\frac{1}{v} = \frac{1}{-10} - \frac{1}{-15} = \frac{-1}{30} \\ \text{Hence:} \\v = -30 \, \text{cm} \\\text{Now, using the magnification formula:} \\\frac{h_i}{h_o} = \frac{-v}{u} \Rightarrow \frac{h_i}{2} = \frac{-(-30)}{-15} \\h_i = -4 \, \text{cm}$$​​​