Home
Class 12
PHYSICS
The diameter of moon is 3.5xx10^(3) km a...

The diameter of moon is `3.5xx10^(3)` km and its distance from earth is `3.8xx10^(6)`km. It is seen by a telescope having focal lengths of objective and eye piece as 4 m and 10 cm respectively. The diameter of the image of the moon is nearly.

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|83 Videos

  • GEOMETRICAL OPTICS

    ALLEN|Exercise EXERCISE -01|65 Videos

  • CURRENT ELECTRICITY

    ALLEN|Exercise EX.II|66 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 3.5xx10^(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

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

The radius of the sun is 0.75xx10^(8)m and its distance from the earth is 1.5xx10^(11)m . Find the diameter of the image of the sun formed by a lens of focal length 40 cm

If the diameter of the Sun is 1.4xx10^9 m and that of Earth is 1.275xx10^4 km .Compare the two.

The diameter of the sun is 1.4 X 10^9m and its distance from the earth is 1.5 X 10^11 m . Find the radius of the image of the sun formed by a lens of focal length 20 cm.

Mass of moon is 7.3 xx 10^(22) kg and its radius is 1.74 xx 10^(6) m. Find the value of the acceleration due to gravity on the moon.

The moon's distance from the earth is 360000 km and its diameter subtends an angle of 31' at the eye of the observer. Find the diameter of the moon.

The focal length of the objective and eye piece of a telescope are respectively 100 cm and 2 cm . The moon subtends and angle of 0.5^@ , the angle subtended by the moon's image will be.

The distance of moon form the earth is 3.8xx10^(5) km. Supposing that the eye is most sensitive to the ight of wavelength 550nm, the separation of two points on the moon that can be resolved by a 500cm