Home
Class 11
PHYSICS
The moon is observed from two diametric...

The moon is observed from two diametrically opposite points A and B on Earth. The angle `theta` subtended at the moon by the two directions of observation is `1^(@)54'` . Given the diameter of the Earth to be about `1.276xx10^(7)` , compute the distance of the moon from the Earth.

Text Solution

Verified by Experts

We have `theta = 1^(@)54. =114. = (114xx60)"xx(4.85xx10^(-6))` rad
=`3.32xx10^(-2)` rad,
Since `1" = 4.85xx10^(-6)` rad,
Also b=AB=`1.276xx10^(7)m`
Hence from Eq. (2.1.) , we have the earth-moon distance.
D=b/`theta`
`=(1.276xx10^(7))/(3.32xx10^(-2))`
`=3.84xx10^(8)m`
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENT

    NCERT BANGLISH|Exercise Exercise (Fill in the blanks)|8 Videos

  • UNITS AND MEASUREMENT

    NCERT BANGLISH|Exercise EXERCISE|23 Videos

  • THERMODYNAMICS

    NCERT BANGLISH|Exercise EXERCISES|7 Videos

  • WAVES

    NCERT BANGLISH|Exercise Exercises|26 Videos

Similar Questions

Explore conceptually related problems

Assuming the distance of the earth from the moon to be 38,400 km and the angle subtended by the moon at the eye of a person on the earth to be 31’, find the diameter of the moon.

The distance of earth from the moon is 3,85,000 km and the moon 's diameter subtends an angle of 31' at the eye of the obsever. Find the diameter of the moon.

If the diameter of the sun subtends an angle of 32' at the eye of the observer and the diameter of the moon 30' and if the distance of the sun be 360 times that of the moon , find the ratio of the diameter of the sun of that of the moon.

The angular elevations of the top of a tower from two points in the same horizontal line with its foot and observed to be theta and phi respectively. Find the distance between the two points of observation, if the height of the tower is h.

The planet Mercury revolves around the sun once in 88 days. If the mean distance between the earth and the sun is 1.5 xx10^8 km , what is the mean distance of Mercury from the sun ?

The radius of the earth 6400 km and moon's distance from the earth is 60 times , the radius of earth , if the radius of the moon subtends 16' angle at the centre of the earth ,find the diameter of the moon.

The diameter of the moon is 3450 km and its distance from the earth is 3.8xx10^(5)km. What will be the diameter of the image of the moon formed by a convex mirror of focal length 7.6 m ?