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A glass sphere of refractive index 1.5 h...

A glass sphere of refractive index 1.5 has a diameter of 0.2m. A parallel beam is incident on the sphere. Where is it brought to focus by the sphere ?

Text Solution

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Formula `: ( n_(1) ) /( u ) + ( n _(2))/( v) = ( n_(1) ~ n_(2))/( R)`
For refraction at `1^(st)` surface,
`u = oo, v = v.`
`(1)/( oo) + ( 1.5)/( v ) = ( 1.5-1)/( 0.1)`
`v. = ( 1.5)/( 5) = 0.3m`
For refraction at `2^(nd)` surface,
`( -1.5)/( 0.1) +( 1)/( v) = (1.5-1)/(0.1)`
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