1.

A Cassegrain telescope uses two mirrors of radii of curvature 220 mm and 140 mm. The distance b/w the two mirrors is 20 mm. Wherewill the final image of an object at infinity be?

Answer»

Solution :By USING the formula for mirrors,
`(1)/(f)=(1)/(u)+(1)/(v)` we get
Since, `f=r//2=(220)/(2)=110` mm
hence, `(1)/(110)=(1)/(oo)+(1)/(v)`
`THEREFORE v=110`mm
virtual object distance for the second MIRROR `=(110-20)=90` mm
For the second mirror,
Hence `(1)/(-70)=(1)/(-90)+(1)/(v)`
`therefore(1)/(v)=(1)/(-70)+(1)/(90)=(-90+70)/(6300)`
or`v= -(6300)/(20)= -315` mm
The image is formed at 315 mm from the SMALLER mirror in the direction of light.


Discussion

No Comment Found

Related InterviewSolutions