Question

The diameter of glass sphere is 15cm . A beam of light strikes the sphere which converges at a point 30 cm behind the pole of spherical surface. Find position of image if mu equals to 1.5

Answer 1

Explanation:

Given The diameter of glass sphere is 15 cm . A beam of light strikes the sphere which converges at a point 30 cm behind the pole of spherical surface. Find position of image if mu equals to 1.5

• We are given v = + 30 (sphere that converges behind the pole of spherical surface)  
• We know that μ2 / v – μ1 / u = μ2 – μ1 / R
•                     1.5 / v – 1/ 30 = 2/15 x 1/2 (R = 15/2)
•                   1.5 / v – 1/30 = 1/15
•                    1.5 / v = 1/15 + 1/30
•                    1.5 / v = 1 + 2 / 30
•                     1.5 / v = 1/10
•                       So v = 10 x 1.5
•                      So v = 15 cm