1.

Anobject is placed at a distance of 10 cm from a coaxial combination of two lenses A and B contact. The combination forms a real image three times the size of an object. If len B is concave with a focal length of 30 cm, what is the nature and focal lenght of lens A ?

Answer»

Convex, 6 cm
CONCAVE, 12 cm
Convex, 12 cm
Convex, 20 cm

Solution :(a) Linear magnification (m) `= (v)/(U) = - 3`
v = - 3u
u = - 10 cm, `therefore v = + 30 cm`
`(1)/(F) = (1)/(v) - (1)/(u)`
`rArr` Focal LENGTH of combination
`(F) = (15)/(2) cm`
Focal length of concave lens
`(f_(1)) = 30 cm`
`therefore "" (1)/(F) = (1)/(f_(1)) + (1)/(f_(2))`
`rArr "" f_(2) = + 6 cm`.


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