Question

an image with magnification of – 0.4 is formed at 10 cm distance from spherical mirror. the distance (in cm) of the object from mirror is given by 5x. then x is​

Answer 1

Given :-

• Magnification, m = -0.4
• Image distance, v = -10 cm(negative sign shows that the image is formed in front of the mirror)
• object distance, u = 5x

To Find :-

• value of x

Solution :-

we know that,

$\boxed{ \bold{m = - \frac{v}{u} }} \\ \\ \bold{: \implies - 0.4 = \cancel- \frac{ \cancel- 10}{u} } \: \: \: \\ \\ \bold{: \implies - 0.4u = 10 } \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies - 0.4 \times 5x = 10 } \\ \\ \bold{: \implies - 2x = 10} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies x = \cancel \frac{10}{ - 2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{ : \implies x = - 5 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

hence, value of x is -5