A astronomical telescope has objective and eyepiece of focal lengths 40cm and 4cm respectively. To view an object 200cm away from the objective, the lenses must be separated by a distance:
54.0 cm
37.3 cm
46.0 cm
50.0 cm
A
37.3 cm
B
46.0 cm
C
50.0 cm
D
54.0 cm
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Solution
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On applying the lens formula for the objective lens:
1f0=1v0−1u0
1v0=1f0+1u0
1v0=140+1−200
v0=50cm
Therefore, tube length =v0+fe=50+4=54cm
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