Two thin lenses of focal lengths f1 and f2 are made of materials of dispersive powers -1 and -2 respectively- The lenses are kept in contact- The combination will show no chromatic aberration if

The correct option is B (f_1/ F_2) = (ω_1/ω_2) Chromatic aberration #160;occurs when a lens is either unable to bring all wavelengths of #160;color ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Chromatic Aberrations

Two thin lens...

Question

Two thin lenses of focal lengths $f_{1}$ and $f_{2}$ are made of materials of dispersive powers $ω_{1}$ and $ω_{2}$ respectively. The lenses are kept in contact. The combination will show no chromatic aberration if

ω_{1} = ω_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(f_{1} / F_{2}) = - (ω_{1} / ω_{2})

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

f_{1} ω_{1} = f_{2} ω_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

f_{1} ω_{1} + f_{2} ω_{2} = 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $(f_{1} / F_{2}) = - (ω_{1} / ω_{2})$
Chromatic aberration occurs when a lens is either unable to bring all wavelengths of color to the same focal plane, and/or when wavelengths of color are focused at different positions in the focal plane.
A combination of converging and diverging lenses can form a non chromatic aberration image if

$\frac{ω_{1}}{f_{1}} + \frac{ω_{2}}{f_{2}} = 0$

Thus $\frac{f_{1}}{f_{2}} = - \frac{ω_{1}}{ω_{2}}$

Suggest Corrections

Similar questions

Q. It is desired to make an achromatic combination of two lenses

(L_{1} a n d L_{2}

) made of materials having dispersive power

ω_{1} a n d ω_{2}

ω_{2} < ω_{1}

. If the combination of lenses is converging, then -

Q. Assertion :Two convex lenses joined together cannot produce an achromatic combination. Reason: The condition for achromatism is

\frac{ω_{1}}{f_{1}} + \frac{ω_{2}}{f_{2}} = 0

where symbols have their usual meaning.

Q. Let

A (z_{1})

and

B (z_{2})

represent two complex numbers on the complex plane. Suppose the complex slope of the line

l_{1}

joining

A

and

B

is defined as

\frac{(z_{1} - z_{2})}{(_{1} -_{2})}

. If the line

l_{1}

with complex slope

ω_{1}

and

l_{2}

with complex slope

ω_{2}

on the complex plane are perpendicular then

If $ω_{1}, ω_{2}$ and $ω_{3}$ represent the work done in moving a particle from A to B along three different paths 1, 2, and 3 respectively in the presence of a gravitational field, then find the correct relation between $ω_{1}, ω_{2}$ and $ω_{3}$ .

Q. Two thin lenses of focal lengths

f_{1}

and

f_{2}

are placed in contact with each other. The focal length of the combination will be given by:

Join BYJU'S Learning Program

Two thin lenses of focal lengths f1 and f2 are made of materials of dispersive powers ω1 and ω2 respectively. The lenses are kept in contact. The combination will show no chromatic aberration if

Two thin lenses of focal lengths $f_{1}$ and $f_{2}$ are made of materials of dispersive powers $ω_{1}$ and $ω_{2}$ respectively. The lenses are kept in contact. The combination will show no chromatic aberration if