Question

Identify the statements are True of False.
a. The equation `(mu_(2))/(v)-(mu_(1))/(u)=(mu_(12)-mu_(1))/(R)` is applicabel to a plane surface for `R=oo` .
h. In the above equation, `mu_(1)` is medium in which the object is placed and `mu_(2)` is the medium in which the image is formed.
c. In the figure shown, the real image of object O is formed at a distance `5R` in the medium.

d. In figure, the image of an object O place on the center face of the sphere is formed at infinity,.

e. In fig , the image of an object O placed on the opposite face of the sphere is foremd at infinity.

Answer 1

a. True. For plane surfaces, `(mu_(2))/(v)=(mu_(1))/(u)`
b. False. In the equation,
`(mu_(2))/(v)-(mu_(1))/(u)=(mu_(2)-mu_(1))/(R)`
`mu_(1)` is the medium which comes before the boundary and `mu_(2)` is the medium which comes after the boundary.
c. True. `(mu_(2))/(v)-(mu_(1))/(u)=(mu_(2)-mu_(1))/(R)`
Here, `mu_(2)=1.5,mu_(1)=1, u=5R, R=+R`
`(1.5)/(v)-(1)/(-5R)=(1.5-1)/(+R)`
`(1.5)/(v)=(1)/(2R)-(1)/(5R)=(3)/(10R)`
`v=5R`
d. False. All the rays coming out from the object are radial. The radial rays are not devited with the change in medium.
e. True. `(mu_(2))/(v)-(mu_(1))/(u)=(mu_(2)-mu_(1))/(R)`
Here, `mu_(2)=1, mu_(1)=2, R=-R`
`u=-2R`
`(1)/(v)-(2)/(-2R)=(1-2)/(-R)=(1)/(R)`
or `(1)/(v)=(1)/(R)-(1)/(R)
`rArr v=oo`