Which is untrue about orbital velocity?a)increases with the increase in height of satelliteb)depends on mass and radius of planet around which it revolvesc)it is independent of mass of satellited)decreases with an increase in radius of orbitCorrect answer is option 'A'. Can you explain this answer?

Question

Answer

The untrue statement about orbital velocity is:

1. increases with the increase in height of satellite

Explanation: Orbital velocity is the speed at which an object revolves around a planet or other celestial body in a stable orbit. According to the equation for orbital velocity, v = √(GM/r+h), where G is the gravitational constant, M is the mass of the planet, and r is the radius of the orbit.

As the height of the satellite increases (meaning it gets far to the planet), its h increase , so reasulting in decrease in velocity .

The other statements are true:

2. depends on mass and radius of planet around which it revolves: As mentioned in the equation, orbital velocity depends on both the mass (M) of the planet and the radius (r) of the orbit.

3. it is independent of mass of satellite: The mass of the satellite does not appear in the equation for orbital velocity, so it does not affect the speed at which the satellite orbits the planet.

4. decreases with an increase in radius of orbit: From the equation, we can see that as the radius of the orbit (r) increases, the orbital velocity (v) decreases.

Answer

Answer

I have a doubt in this question I m confused in btw option a and d can any one please explain thias

Answer

We know that ,Orbital velocity = √GM/R Or =√gR These two values are used when satellite is very near ti earth ....
From the equation we find that it only depend on G,M,R and g .......It doesn't depend on height of satellite ....

And we see that it depends on other three ...
I think it helps you

Answer

Orbital velocity refers to the velocity required for an object, such as a satellite, to maintain a stable orbit around a celestial body, such as a planet. It is important to understand the factors that affect orbital velocity in order to answer the question correctly.

Mass and Radius of the Planet (Option B):
The orbital velocity of a satellite does depend on the mass and radius of the planet around which it revolves. The gravitational force between the satellite and the planet is what keeps the satellite in orbit. This force is directly proportional to the mass of the planet and inversely proportional to the square of the distance between the satellite and the center of the planet. Hence, the orbital velocity will be affected by the mass and radius of the planet.

Independent of Mass of Satellite (Option C):
The orbital velocity of a satellite is independent of the mass of the satellite itself. The mass of the satellite does not affect the gravitational force between the satellite and the planet. Therefore, the mass of the satellite has no impact on the required orbital velocity.

Decrease with an Increase in Radius of Orbit (Option D):
The orbital velocity of a satellite decreases with an increase in the radius of the orbit. This can be understood by considering the centripetal force required to keep the satellite in a stable orbit. As the radius of the orbit increases, the distance between the satellite and the center of the planet also increases. Consequently, the gravitational force decreases, and in order to maintain a stable orbit, the satellite must have a lower orbital velocity.

Increase with the Decrease in Height of Satellite (Option A):
The orbital velocity of a satellite increases with the decrease in the height of the satellite. As the satellite moves closer to the planet's surface, the distance between the satellite and the center of the planet decreases. This results in an increase in the gravitational force acting on the satellite. In order to balance this increased force, the satellite must have a higher orbital velocity.

Conclusion:
Based on the explanations provided, it is clear that the untrue statement about orbital velocity is option A, which states that the orbital velocity decreases with a decrease in the height of the satellite. In reality, the orbital velocity increases with a decrease in the height of the satellite.

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