Earth Satellites
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PHXI08:GRAVITATION

359783 A satellite (mass \(m\) ) of moon revolves around it in a radius \(n\) times the radius of moon (\(R\)). Due to cosmic dust it experiences a resistance \(F=\alpha v^{2}\). Find how long it will stay in the orbit before it falls onto the planets surface.

1 \(\dfrac{m}{\alpha \sqrt{g R}} \sqrt{n}\)
2 \(\dfrac{m}{\alpha} \dfrac{v_{i}}{v_{f}^{2}}\)
3 \(\dfrac{m}{\alpha} \dfrac{(\sqrt{n}-1)}{v}\)
4 \((\sqrt{n}-1) \dfrac{m}{\alpha \sqrt{g R}}\)
PHXI08:GRAVITATION

359784 A satellite is orbiting just above the surface of the earth with period \(T\). If \(d\) is the density of the earth and \(G\) is the universal constant of
gravitation, the quantity \(\dfrac{3 \pi}{G d}\) represents:

1 \(T^{2}\)
2 \(T^{3}\)
3 \(\sqrt{T}\)
4 \(T\)
NEET - 2023
PHXI08:GRAVITATION

359785 Two satellites of massess \(m_{1}\) and \(m_{2}\left(m_{1}>m_{2}\right)\) are revolving round the earth in circular orbits of radius \(r_{1}\) and \(r_{2}\left(r_{1}>r_{2}\right)\) respectively. Which of the following statements is true regarding their speeds \(v_{1}\) and \(v_{2}\) ?

1 \(\dfrac{v_{1}}{r_{1}}=\dfrac{v_{2}}{r_{2}}\)
2 \(v_{1}=v_{2}\)
3 \(v_{1} < v_{2}\)
4 \(v_{1}>v_{2}\)
PHXI08:GRAVITATION

359786 A statellite is revolving in a circular orbit at a height \(h\) above the surface of the earth of radius \(R\). The speed of the satellite in its orbit is one fourth the escape velocity from the surface of the earth. The relation between \(h\) and \(R\) is

1 \(h = 2R\)
2 \(h = 3R\)
3 \(h=5 R\)
4 \(h = 7R\)
MHTCET - 2018
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PHXI08:GRAVITATION

359783 A satellite (mass \(m\) ) of moon revolves around it in a radius \(n\) times the radius of moon (\(R\)). Due to cosmic dust it experiences a resistance \(F=\alpha v^{2}\). Find how long it will stay in the orbit before it falls onto the planets surface.

1 \(\dfrac{m}{\alpha \sqrt{g R}} \sqrt{n}\)
2 \(\dfrac{m}{\alpha} \dfrac{v_{i}}{v_{f}^{2}}\)
3 \(\dfrac{m}{\alpha} \dfrac{(\sqrt{n}-1)}{v}\)
4 \((\sqrt{n}-1) \dfrac{m}{\alpha \sqrt{g R}}\)
PHXI08:GRAVITATION

359784 A satellite is orbiting just above the surface of the earth with period \(T\). If \(d\) is the density of the earth and \(G\) is the universal constant of
gravitation, the quantity \(\dfrac{3 \pi}{G d}\) represents:

1 \(T^{2}\)
2 \(T^{3}\)
3 \(\sqrt{T}\)
4 \(T\)
NEET - 2023
PHXI08:GRAVITATION

359785 Two satellites of massess \(m_{1}\) and \(m_{2}\left(m_{1}>m_{2}\right)\) are revolving round the earth in circular orbits of radius \(r_{1}\) and \(r_{2}\left(r_{1}>r_{2}\right)\) respectively. Which of the following statements is true regarding their speeds \(v_{1}\) and \(v_{2}\) ?

1 \(\dfrac{v_{1}}{r_{1}}=\dfrac{v_{2}}{r_{2}}\)
2 \(v_{1}=v_{2}\)
3 \(v_{1} < v_{2}\)
4 \(v_{1}>v_{2}\)
PHXI08:GRAVITATION

359786 A statellite is revolving in a circular orbit at a height \(h\) above the surface of the earth of radius \(R\). The speed of the satellite in its orbit is one fourth the escape velocity from the surface of the earth. The relation between \(h\) and \(R\) is

1 \(h = 2R\)
2 \(h = 3R\)
3 \(h=5 R\)
4 \(h = 7R\)
MHTCET - 2018
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PHXI08:GRAVITATION

359783 A satellite (mass \(m\) ) of moon revolves around it in a radius \(n\) times the radius of moon (\(R\)). Due to cosmic dust it experiences a resistance \(F=\alpha v^{2}\). Find how long it will stay in the orbit before it falls onto the planets surface.

1 \(\dfrac{m}{\alpha \sqrt{g R}} \sqrt{n}\)
2 \(\dfrac{m}{\alpha} \dfrac{v_{i}}{v_{f}^{2}}\)
3 \(\dfrac{m}{\alpha} \dfrac{(\sqrt{n}-1)}{v}\)
4 \((\sqrt{n}-1) \dfrac{m}{\alpha \sqrt{g R}}\)
PHXI08:GRAVITATION

359784 A satellite is orbiting just above the surface of the earth with period \(T\). If \(d\) is the density of the earth and \(G\) is the universal constant of
gravitation, the quantity \(\dfrac{3 \pi}{G d}\) represents:

1 \(T^{2}\)
2 \(T^{3}\)
3 \(\sqrt{T}\)
4 \(T\)
NEET - 2023
PHXI08:GRAVITATION

359785 Two satellites of massess \(m_{1}\) and \(m_{2}\left(m_{1}>m_{2}\right)\) are revolving round the earth in circular orbits of radius \(r_{1}\) and \(r_{2}\left(r_{1}>r_{2}\right)\) respectively. Which of the following statements is true regarding their speeds \(v_{1}\) and \(v_{2}\) ?

1 \(\dfrac{v_{1}}{r_{1}}=\dfrac{v_{2}}{r_{2}}\)
2 \(v_{1}=v_{2}\)
3 \(v_{1} < v_{2}\)
4 \(v_{1}>v_{2}\)
PHXI08:GRAVITATION

359786 A statellite is revolving in a circular orbit at a height \(h\) above the surface of the earth of radius \(R\). The speed of the satellite in its orbit is one fourth the escape velocity from the surface of the earth. The relation between \(h\) and \(R\) is

1 \(h = 2R\)
2 \(h = 3R\)
3 \(h=5 R\)
4 \(h = 7R\)
MHTCET - 2018
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PHXI08:GRAVITATION

359783 A satellite (mass \(m\) ) of moon revolves around it in a radius \(n\) times the radius of moon (\(R\)). Due to cosmic dust it experiences a resistance \(F=\alpha v^{2}\). Find how long it will stay in the orbit before it falls onto the planets surface.

1 \(\dfrac{m}{\alpha \sqrt{g R}} \sqrt{n}\)
2 \(\dfrac{m}{\alpha} \dfrac{v_{i}}{v_{f}^{2}}\)
3 \(\dfrac{m}{\alpha} \dfrac{(\sqrt{n}-1)}{v}\)
4 \((\sqrt{n}-1) \dfrac{m}{\alpha \sqrt{g R}}\)
PHXI08:GRAVITATION

359784 A satellite is orbiting just above the surface of the earth with period \(T\). If \(d\) is the density of the earth and \(G\) is the universal constant of
gravitation, the quantity \(\dfrac{3 \pi}{G d}\) represents:

1 \(T^{2}\)
2 \(T^{3}\)
3 \(\sqrt{T}\)
4 \(T\)
NEET - 2023
PHXI08:GRAVITATION

359785 Two satellites of massess \(m_{1}\) and \(m_{2}\left(m_{1}>m_{2}\right)\) are revolving round the earth in circular orbits of radius \(r_{1}\) and \(r_{2}\left(r_{1}>r_{2}\right)\) respectively. Which of the following statements is true regarding their speeds \(v_{1}\) and \(v_{2}\) ?

1 \(\dfrac{v_{1}}{r_{1}}=\dfrac{v_{2}}{r_{2}}\)
2 \(v_{1}=v_{2}\)
3 \(v_{1} < v_{2}\)
4 \(v_{1}>v_{2}\)
PHXI08:GRAVITATION

359786 A statellite is revolving in a circular orbit at a height \(h\) above the surface of the earth of radius \(R\). The speed of the satellite in its orbit is one fourth the escape velocity from the surface of the earth. The relation between \(h\) and \(R\) is

1 \(h = 2R\)
2 \(h = 3R\)
3 \(h=5 R\)
4 \(h = 7R\)
MHTCET - 2018
For More Updates join with Us