12. The distance of the sun from the earth is 1.496 x 1011 m. If sun's angular diameter is 9.31 x 10-3 rad as measured from the earth, find the diameter of the sun.
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Answer:
We know that 1
′′
=(
3600
1
)×
180
π
rad
Angular diameter θ=1920
′′
=1920×
3600×180
π
rad=0.0093 rad
Distance of sun from the earth,$$r=1.496\times 10^{11} $$
Step 2: Calculate diameter of sun
tanθ=
r
D
as θ is very small so tanθ=θ
$$D = \theta \ r = 0.0093×1.496×10
11
m=1.39×10
9
- m
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