A transparent sphere of radius R and refractive index μ   is kept in the air. At what distance from the surface of the sphere should a point object be placed on the principal axis so as to form a real image at the same distance from the second surface of the sphere?

# A transparent sphere of radius R and refractive index   is kept in the air. At what distance from the surface of the sphere should a point object be placed on the principal axis so as to form a real image at the same distance from the second surface of the sphere?

1. A
2. B
3. C
4. D

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

Concept- By maintaining the point object at a specific distance from the sphere's first surface in order to acquire its image at infinity (since the image is real) from the second surface, we may make a ray diagram.
Given: A transparent sphere of radius   and refractive index   is kept in the air.
To find the distance from the surface of the sphere where a point should be placed so as to form a real image at the same distance from the other side of the sphere
Using the equation,

For the refraction at the first surface of the sphere,
(air to glass)
, Here   is the distance of a point object from the sphere, as shown in above fig.

Hence, the object should be placed this distance from the surface of the sphere in order to get a real image.
Hence, option 3 is correct.

## Related content

 Sine and Cosine Waves Zener Diode Hygrometer Half Wave Rectifier Compound Microscope Solar Cooker MCB Difference Between Scalar and Vector Quantity Difference Between Interference and Diffraction Difference Between Heat and Temperature

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)