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The parallax of a far off planet as meas...

The parallax of a far off planet as measured from the two diametric extremes on the equator of the earth is 2.0 minute. If the radius of the earth is 6400 km, find the distance of the planet from the earth.

Text Solution

Verified by Experts

Angle of parallx `theta` = 2 minute
= `2xx(1/60)^(2)`
`rArr0=2xx1/60xxpi/180"rad"" "[because1^(@)-pi/180"rad"]`
`theta=pi/(5400)"rad"`
From parallax method
`BP=(AB)/theta`
`rArrBP=("Diameter of earth")/theta`
`rArrBP=(2xx6400)/((pi/5400))km`
`rArrBP=2.2xx10^(7)km`
`=2.2xx10^(10)m`
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