JEE Main 27-Aug-2021 Shift 1 Solved Paper

Length of arc,I=4.4‌ly=4.4×9.46×1015
=4.1624×1016m [∵1‌Iy=9.46×1015m]
Angle subtended by arc, θ = 4 s
Number of revolution, n = 4
Speed of body, We know that, length of arc subtended by an angle,
I=Rθ
Here, R = radius of arc.
Substituting the values in above expression, we get
4.1624×1016=R×4×(

1°

3600

)×(

π

180°

) (∵1s=

1

3600

‌degree)
R=2.146×1021m
We know that, time = distance/speed
t=

n×2πR

V

(∵ Distance = n × length of circular path )
Substituting the values in above expression, we get
t=

4×2π×2.146×1021

1.2×1012

=4.5×1010s
Thus, the time required is 4.5×1010s.