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JIPMER 2009

Exam: JIPMER
Year: 2009
Subject: Physics
Chapter: Ray Optics

JIPMER 2009 · Physics · Ray Optics

In a laboratory four convex lenses L_1, L_2, L_3 and L_4 of focal...

In a laboratory four convex lenses

L_1, L_2, L_3

and

L_4

of focal lengths

2,4,6

and 8 cm , respectively are available. Two of these lenses form a telescope of length 10 cm and magnifying power 4. The objective and eye lenses are respectively

Options

A $L_2, L_3$
B $L_1, L_4$
C $L_1, L_2$
D $L_4, L_1$

Correct answer

D. $L_4, L_1$

Step-by-step solution

\begin{gathered} \text{ Length of tube }=10 \mathrm{ cm} \\ \qquad

\begin{array}{c} f_o+f_e=10 \mathrm{ cm} \\ \text{ Magnification } m=\frac{f_o}{f_e}=4 \\ f_o=4 f_e \end{array}

\end{gathered}Putting in

Eq. (i), or 5 f_{\varepsilon}=10

\mathrm{ cm} and

\begin{aligned} & f_e=2 \mathrm{ cm} \\ & f_o=8 \mathrm{ cm} \\ & f_o=8 \mathrm{ cm}, f_e=2 \mathrm{ cm} \end{aligned}

Hence,

L_4 and L_1

will be used.

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