An observer on moon observes angular diameter of earth as (σπ)0. If the distance between earth and moon is 3.84×108m and the radius of earth is 6400 km, the find the value of σ

Asked by akshataggarwal7704 | 3rd Mar, 2021, 10:52: PM

Expert Answer:

 
Angle subtended by arc, θ = arc length / radius of arc = (  begin mathsize 14px style l end style / r ) 
 
arc length begin mathsize 14px style l end style= diameter of earth = 2 × 6400 km = 12800 km
 
radius of arc  r = distance between earth and moon = 3.84 × 108 m
 
Angular diameter of earth from moon in radian =  ( 12800 × 1000 ) / ( 3.84 × 108 ) = 3.333 × 10-2 rad
 
Angular diameter of earth from moon in degree =   [ 3.333 × 10-2 × ( 180/π) ] o
 
If Angular diameter of earth is experessed as ( σ π )o  , then σ = [ 3.333 × 10-2 × ( 180/π2) ] = 0.608
 
 

Answered by Thiyagarajan K | 4th Mar, 2021, 11:25: AM

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