Home
Class 12
PHYSICS
A mark of the surface of sphere (mu=(3)/...

A mark of the surface of sphere `(mu=(3)/(2))` is viewed from a diametrically opposite position. It appears to be at a distance 15 cm from its actual position.Find the radius of sphere.

A

5 cm

B

10 cm

C

15 cm

D

25 cm

Text Solution

Verified by Experts

The correct Answer is:
A
As the mark is viewed from the diametrically opposite position, refraction takes place at side II of the surface (the mark being on side I as shown)
here `mu_(1)=1.5,mu_(2)=1,u=-2R`
`:. 1/v=0.5/R - 1.5/(2R)=- 0.5/(2R)` or v=-4R
Negative sign indicates that the image is formed to the left of refracting surface as shown in Figure. Further, it is given that the image of mark is at a distance 10 cm from the object. Hence: 4R = 2R + 10,`:.` R = 5cm
Promotional Banner

Topper's Solved these Questions

  • RAY OPTICS AND OPTICAL INSTRAUMENTS

    NARAYNA|Exercise EXERCISE-2 (H.W)(LENSES & THEIR COMBINATIONS)|23 Videos

  • RAY OPTICS AND OPTICAL INSTRAUMENTS

    NARAYNA|Exercise EXERCISE-2 (H.W)(REFRACTION THROUGH A PRISM)|9 Videos

  • RAY OPTICS AND OPTICAL INSTRAUMENTS

    NARAYNA|Exercise EXERCISE-2 (H.W)(REFRACTION)|21 Videos

  • NUCLEI

    NARAYNA|Exercise ASSERTION & REASON|5 Videos

  • SEMI CONDUCTOR DEVICES

    NARAYNA|Exercise Level-II (H.W)|36 Videos

Similar Questions

Explore conceptually related problems

A small object stuck on the surface of a glass sphere (mu=4//3) is viewed from the diametrically opposite position find transverse magnification.

A small object stuck on the surface of a glass sphere (n=1.5) is viewed from the diametrically opposite position. Find transverse magnification.

Find the surface area of sphere if radius is 9cm?

A mark placed on the surface of glass sphere is viewed through glass from an oppositely directed position. If the diameter of the sphere is 30 cm, locate the image of the mark. For glass, mu = 1.5

A mark placed on the surface of a sphere is viewed through glass from a position directly opposite. If the diameter of the sphere is 10 cm and refractive index of glass is 1.5 , find the position of the image.

Find the surface area of a sphere of radius 7cm.

Find the surface area of a sphere of radius 7cm.

Find the surface area of a sphere of radius 14cm.

Find the surface area of a sphere of radius 7 cm.