Question

Solve que 6:

6. ​A concave spherical surface of radius of curvature 10 cm separates two medium x & y of refractive index 4/3 & 3/2 respectively. If the is placed along principal axis in medium X then

(A) image is always real
(B) image is real if the Object distance is greater than 90 cm
(C) image is always virtual
(D) image is virtual if the object distance is less man 90 cm

Answer 1

Given :

Radius of curvature of mirror = 10cm

Refractive index of first medium (μ₁) = 4/3

Refractive index of first medium (μ₂) = 3/2

To Find :

The nature of the image

Solution :

• Let us assume the object is been placed at a distance of x from the convave spherical surface

• we know the relation (μ₂/v) - (μ₁/u) = μ₂-μ₁ / R

          (μ₂/v) - (μ₁/u) = μ₂-μ₁ / R

          (3/2v) + (4/x) = (3/2 - 4/3) / -10

           v = -1.5x / (0.017x + 1.33)

• From this we can say that v<0 i.e, Virtual image is formed

    The image formed is virtual in nature