COMEDK2012PhysicsRay Optics
A glass hemisphere of radius 0.1 ~cm and refractive index 1.5 is placed over a spot on a table and the spot is viewed from above. The spot appears to be
Options
- A0.1 ~m above the top surface of the hemisphere
- B0.1 ~m below the top surface of the hemisphere
- C0.033 ~m above the top surface of the hemisphere
- Dexactly on the top surface of the hemisphere
Correct answer
A. 0.1 ~m above the top surface of the hemisphere
Step-by-step solution
Here, R=-0.1 ~cm , _ g =15 u=-0.1 ~cm From refraction formula, aligned & _ a - _ g R = _ a v - _ g u & 1-15 -0.1 = 1 v - 15 (-0.1) ( _ a =1 ) 5 &= 1 v +15 v &=- 1 10 =-0.1 ~cm aligned Here, negative sign shows that the image will be seen on the same size as that of object. The spot appears to be 0.1 ~cm below the top surface or exactly at the original position.