Question

Q4. If the height of a satellite’s orbit from the Earth's surface is decreased, its critical velocity ( vc ) will ___________. कृत्रिम उपग्रहांच्या भ्रमण कक्षेची भूपृष्ठापासून ची उंची कमी केल्यास, त्या उपग्रहाचा स्पर्श रेषेवरील वेग (vc)_________.
a) Decrease /कमी होतो
b) Increase / वाढतो
c) Remains the same / बदलत नाही
d) Becomes double / दुप्पट होतो​

Answer 1

The correct answer is option (b) Increase.

Explanation:

• If the height of a satellite’s orbit from the Earth's surface is decreased, its critical velocity ( vc ) will Increase.
• The Orbital velocity with which the satellite revolves around a planet is known as critical velocity.
• It is given as Vc= $\sqrt[]{\frac{GM}{R+H}}$.
• It the speed at which a falling object reaches when both gravity and air resistance are equalized on the object.
• So, the correct answer is that If the height of a satellite’s orbit from the Earth's surface is decreased, its critical velocity ( vc ) will Increase.

Answer 2

Answer:

b) Increase

Explanation:

Critical Velocity is the velocity at which a satellite revolves around a planets in a circular orbit.

For a satellite revolving in circular orbit,

Centripetal Force = $\frac{mv^{2} }{r}$

Gravitational Force Acting on Satellite,

     Fg = $\frac{GmM}{r^{2} }$

For Revolving in a circular orbit;

  Fg = Centripetal Force

$\frac{GmM}{r^{2} } = \frac{mv^{2} }{r}$

$\frac{GM}{r^{2} } = \frac{v^{2} }{r}$

$v^{2} = \frac{GM}{r}$

$v = \sqrt{\frac{GM}{r} }$

From the above formula it is clear that when the height is decrease then critical velocity (Vc) will increase.

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