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Q.

The focal lengths of the objective and eye–lens of a microscope are 1 cm and 5 cm respectively. If the magnifying power for the relaxed eye is 45, then the length of the tube is

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a

12 cm

b

25 cm

c

15 cm

d

30 cm

answer is C.

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Detailed Solution

m=m0me,me=Dfe=5m0=455=9=v0u0;u0=v091f0=1v0+1u0;11=1v0+9v0=10v0v0=10cm;L=v0+fe=10+5=15cm

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The focal lengths of the objective and eye–lens of a microscope are 1 cm and 5 cm respectively. If the magnifying power for the relaxed eye is 45, then the length of the tube is