Home
Class 12
PHYSICS
The diameter of the moon is 3.5 xx 10^(3...

The diameter of the moon is `3.5 xx 10^(3) km` and its distance from the earth is `3.8 xx 10^(5)km`. It is seen through a telescope having focal lengths of objective and eye-piece as `4m` and `10 cm` respectively. Calculate (a) magnifying power of telescope (b) length of telescope tube and (c) anngular size of image of moon.

Text Solution

Verified by Experts

`MP = (f_(0))/(f_(e)) = -(400)/(10) = -40` . Angle subtended by the moon at the objective = `(3.5xx10^(3))/(3.8 xx 10^(5)) = 0.009 "radian"`.
Thus angular diameter of the image = `MP xx "visual angle" = 40 xx 0.009 = 0.36 "radian" = (0.36 xx 180)/(3.14) = 21^(@)`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    ALLEN|Exercise SOME WORKED OUT EXAMPLES|84 Videos

  • GEOMETRICAL OPTICS

    ALLEN|Exercise EXERCISE -01|65 Videos

  • CURRENT ELECTRICITY

    ALLEN|Exercise All Questions|427 Videos

  • GRAVITATION

    ALLEN|Exercise EXERCISE 4|9 Videos

Similar Questions

Explore conceptually related problems

The diameter of the moon is 3.5xx10^(3)km and its distance from the earth is 3.8xx10^(5) km . It is seen by a telescope having the focal length of the objective and the eye-piece as 4m and 10cm respectively. The diameter of the image of the moon will be approximately

The diameter of the moon is 3.5 xx 10^3 km and its distance from the earth is 3.8 xx 10^5 km . It is viewed by a telescope which 10 cm . Find the angle subtended at the eye by the final image.

The diameter of the moon is 3.5 xx 10^(3)km and its distance from the earth is 3.8 xx 10^(5)km . It is viewed by a telescope which consists of two lenses of focal lengths 4m and 10 cm. Find the angle subtended at eye by the final image.

Diameter of the moon is 3.5xx10^(3)km and its distance from earth is 3.8xx10^(5)km .It is seen by a telescope whose objectives and eyepiece have focal lengths 4 mand 10cm respectively.The angular diameter fo the image of the moon will be nearly- (1) 5^(@) ,(2) 10^(@) ,(3) 20^(@) ,(4) 25^(@)

A Galilean telescope has objective and eye - piece of focal lengths 200 cm and 2cm respectively. The magnifying power of the telescope for normal vision is

The focal length of objecive and eye-piece of astronomical telescope are 2 m and 5 cm respectively. The magnifying power of telescop when final image is formed at infinity is

A telescope has objective and eyepiece lenses of focal lengths 150 cm and 5 cm, respectively. Calculate the magnifying power of telescope when the final image is formed (a) at infinity and (b) at the least distance of clear vision.

Angular magnification of telescope if focal length of objective and eye lenses are 10 cm and 10 mm respectively and tube length is 11cm: