Which one of the following spherical lenses does not exhibit dispersion? The radii of curvature of the surfaces of the lenses are as given in the diagrams. [2002]

Question

Which one of the following spherical lenses does not exhibit dispersion? The radii of curvature of the surfaces of the lenses are as given in the diagrams. [2002]

Smart Achievers · Accepted Answer

(3)

Since both surfaces have the same radius of curvature, $R_{1} = R_{2} = R$ on the same side, no dispersion will occur.

For no dispersion, $\frac{1}{f} = (μ - 1) (\frac{1}{R_{1}} - \frac{1}{R_{2}}) = 0$

Solution

Q.
Which one of the following spherical lenses does not exhibit dispersion The radii of curvature of the surfaces of the lenses are as given in the diagrams. [2002]

1

2

3

4

Ans.
(3)

Since both surfaces have the same radius of curvature, $R_{1} = R_{2} = R$ on the same side, no dispersion will occur.

For no dispersion, $\frac{1}{f} = (μ - 1) (\frac{1}{R_{1}} - \frac{1}{R_{2}}) = 0$

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Solution

Q. Which one of the following spherical lenses does not exhibit dispersion The radii of curvature of the surfaces of the lenses are as given in the diagrams. [2002]

1

2

3

4

Ans. (3) Since both surfaces have the same radius of curvature, R1=R2=R on the same side, no dispersion will occur. For no dispersion, 1f=(μ-1)(1R1-1R2)=0

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Q.
Which one of the following spherical lenses does not exhibit dispersion The radii of curvature of the surfaces of the lenses are as given in the diagrams. [2002]

Ans.
(3)

Since both surfaces have the same radius of curvature, $R_{1} = R_{2} = R$ on the same side, no dispersion will occur.

For no dispersion, $\frac{1}{f} = (μ - 1) (\frac{1}{R_{1}} - \frac{1}{R_{2}}) = 0$