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AP EAMCET Engineering 20 Apr 2019 Shift 1 Paper
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© examsnet.com
Question : 92
Total: 160
A planet is revolving around the sun as shown in the figure. The radius vectors joining the sun and the planet at points A and B are 90 ×
10
6
km and 60 x
10
6
km respectively. Hie ratio of velocities of the planet at A and B when its velocities make 30° and 60° with major axis of the orbit is
3
2
√
3
2
√
3
1
√
3
√
3
2
Validate
Solution:
Applying the law of conservation of momentum, we get
m
u
A
r
A
sin
θ
A
=
m
u
B
r
B
sin
θ
B
u
A
u
B
=
r
B
sin
θ
B
r
A
sin
θ
A
u
A
u
B
=
60
×
10
6
sin
60
∘
90
×
10
6
sin
30
∘
=
2
√
3
Thus, the ratio of velocities comes out to be
2
√
3
.
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