Question

the focal length of the convex lens is 50 cm if an object is kept at a distance of 75 cm from the length then find the image distance and magnification produced by the lens​

Answer 1

$\large \bigstar\boxed{\bf \red{GIVEN}} \bigstar$

• Focal length = 50 cm
• Object distance = -75

$\large \bigstar\boxed{\bf \red{TO FIND}} \bigstar$

• Distance of the image

$\large \bigstar\boxed{\bf \red{SOLUTION}} \bigstar$

By using lens formula :

$\boxed{ \bf \frac{1}{v} - \frac{1}{u} = \frac{1}{f} } \\ \\ \bf \frac{1}{75} - \frac{1}{u} = \frac{1}{50} \\ \\ \bf - \frac{1}{u} = \frac{1}{50} - \frac{1}{75} \\ \\ \bf - \frac{1}{u} = \frac{1}{150} \\ \\ \boxed{\bf \orange{ u = 150}}$

$\bf m = \frac{v}{u} \\ \\ \bf m = \frac{50}{150} \\ \\ \boxed{\bf \blue{ m = 0.33}}$