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The moon's distance from the earth is 36...

The moon's distance from the earth is 360000 km and its diameter subtends an angle of 42' at the eye of the observer. The diameter of the moon is

A

4400 km

B

1000 km

C

3600 km

D

8800 km

Text Solution

Verified by Experts

The correct Answer is:
1

`theta = 42^(@) = (pi)/(180^(@))xx(42^(@))/(60^(@))= (11)/(900)` rad
`l= rtheta= (11)/(900) xx 360000 = 4400 ` km
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Knowledge Check

  • A giant telescope in an observatory has an objective of focal length 19 m and an eye-piece of focal length 1.0 cm . In normal adjustment, the telescope is used to view the moon. What is the diameter of the image of the moon formed by the objective? The diameter of the moon is 3.5 xx 10^(6)m . and the radius of the lunar orbit round the earth is 3.8 xx 10^(8) m .

    A
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    B
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    C
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    D
    `17.5 cm`
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