163999
A satellite moving in a circular orbit of radius \(\mathbf{R}_0\) round the earth of mass \(M\) and radius \(R\), has angular velocity :
1 \(\sqrt{\frac{G M}{R_0^3}}\)
2 \(\sqrt{\mathrm{GMR}_0^3}\)
3 \(\frac{\mathrm{R}_0^3}{\sqrt{\mathrm{GM}}}\)
4 None of these **SECTION - B**
Explanation:
\( \mathrm{v}_0=\sqrt{\frac{\mathrm{GM}}{\mathrm{R}_0}} \) and \(\omega=\frac{\mathrm{v}_0}{\mathrm{R}_0}=\frac{1}{\mathrm{R}_0} \sqrt{\frac{\mathrm{GM}}{\mathrm{R}_0}}=\sqrt{\frac{\mathrm{GM}}{\mathrm{R}_0^3}}\)
NCERT-XI- I -137
5 RBTS PAPER
164000
Ratio of K.E. required for the satellite to escape the earth's surface to the K.E. required to orbit just close to the earth is :
1 \(1: 1\)
2 \(2: 1\)
3 \(1: 2\)
4 None of these
Explanation:
Here \(E_e=\frac{1}{2} m v_e^2\) and \(E_0=\frac{1}{2} m v_0^2\) \( \therefore \frac{\mathrm{E}_{\mathrm{e}}}{\mathrm{E}_0}=\frac{\mathrm{v}_{\mathrm{e}}^2}{\mathrm{v}_0^2}=(\sqrt{2})^2=\frac{2}{1} \)
NCERT-XI- I -138
5 RBTS PAPER
164001
Two identical metal spheres of same material of density ' \(d\) ' are touching each other. What is the gravitational force of attraction between them ?
164003
Persons sitting in artificial satellite of the earth have
1 zero mass
2 zero weight
3 certain definite weight
4 infinite weight
Explanation:
The reaction force of the artificial satellite acting on the person sitting in satellite is zero. Therefore, the weight of the person is zero in artificial satellite is zero.
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5 RBTS PAPER
163999
A satellite moving in a circular orbit of radius \(\mathbf{R}_0\) round the earth of mass \(M\) and radius \(R\), has angular velocity :
1 \(\sqrt{\frac{G M}{R_0^3}}\)
2 \(\sqrt{\mathrm{GMR}_0^3}\)
3 \(\frac{\mathrm{R}_0^3}{\sqrt{\mathrm{GM}}}\)
4 None of these **SECTION - B**
Explanation:
\( \mathrm{v}_0=\sqrt{\frac{\mathrm{GM}}{\mathrm{R}_0}} \) and \(\omega=\frac{\mathrm{v}_0}{\mathrm{R}_0}=\frac{1}{\mathrm{R}_0} \sqrt{\frac{\mathrm{GM}}{\mathrm{R}_0}}=\sqrt{\frac{\mathrm{GM}}{\mathrm{R}_0^3}}\)
NCERT-XI- I -137
5 RBTS PAPER
164000
Ratio of K.E. required for the satellite to escape the earth's surface to the K.E. required to orbit just close to the earth is :
1 \(1: 1\)
2 \(2: 1\)
3 \(1: 2\)
4 None of these
Explanation:
Here \(E_e=\frac{1}{2} m v_e^2\) and \(E_0=\frac{1}{2} m v_0^2\) \( \therefore \frac{\mathrm{E}_{\mathrm{e}}}{\mathrm{E}_0}=\frac{\mathrm{v}_{\mathrm{e}}^2}{\mathrm{v}_0^2}=(\sqrt{2})^2=\frac{2}{1} \)
NCERT-XI- I -138
5 RBTS PAPER
164001
Two identical metal spheres of same material of density ' \(d\) ' are touching each other. What is the gravitational force of attraction between them ?
164003
Persons sitting in artificial satellite of the earth have
1 zero mass
2 zero weight
3 certain definite weight
4 infinite weight
Explanation:
The reaction force of the artificial satellite acting on the person sitting in satellite is zero. Therefore, the weight of the person is zero in artificial satellite is zero.
163999
A satellite moving in a circular orbit of radius \(\mathbf{R}_0\) round the earth of mass \(M\) and radius \(R\), has angular velocity :
1 \(\sqrt{\frac{G M}{R_0^3}}\)
2 \(\sqrt{\mathrm{GMR}_0^3}\)
3 \(\frac{\mathrm{R}_0^3}{\sqrt{\mathrm{GM}}}\)
4 None of these **SECTION - B**
Explanation:
\( \mathrm{v}_0=\sqrt{\frac{\mathrm{GM}}{\mathrm{R}_0}} \) and \(\omega=\frac{\mathrm{v}_0}{\mathrm{R}_0}=\frac{1}{\mathrm{R}_0} \sqrt{\frac{\mathrm{GM}}{\mathrm{R}_0}}=\sqrt{\frac{\mathrm{GM}}{\mathrm{R}_0^3}}\)
NCERT-XI- I -137
5 RBTS PAPER
164000
Ratio of K.E. required for the satellite to escape the earth's surface to the K.E. required to orbit just close to the earth is :
1 \(1: 1\)
2 \(2: 1\)
3 \(1: 2\)
4 None of these
Explanation:
Here \(E_e=\frac{1}{2} m v_e^2\) and \(E_0=\frac{1}{2} m v_0^2\) \( \therefore \frac{\mathrm{E}_{\mathrm{e}}}{\mathrm{E}_0}=\frac{\mathrm{v}_{\mathrm{e}}^2}{\mathrm{v}_0^2}=(\sqrt{2})^2=\frac{2}{1} \)
NCERT-XI- I -138
5 RBTS PAPER
164001
Two identical metal spheres of same material of density ' \(d\) ' are touching each other. What is the gravitational force of attraction between them ?
164003
Persons sitting in artificial satellite of the earth have
1 zero mass
2 zero weight
3 certain definite weight
4 infinite weight
Explanation:
The reaction force of the artificial satellite acting on the person sitting in satellite is zero. Therefore, the weight of the person is zero in artificial satellite is zero.
163999
A satellite moving in a circular orbit of radius \(\mathbf{R}_0\) round the earth of mass \(M\) and radius \(R\), has angular velocity :
1 \(\sqrt{\frac{G M}{R_0^3}}\)
2 \(\sqrt{\mathrm{GMR}_0^3}\)
3 \(\frac{\mathrm{R}_0^3}{\sqrt{\mathrm{GM}}}\)
4 None of these **SECTION - B**
Explanation:
\( \mathrm{v}_0=\sqrt{\frac{\mathrm{GM}}{\mathrm{R}_0}} \) and \(\omega=\frac{\mathrm{v}_0}{\mathrm{R}_0}=\frac{1}{\mathrm{R}_0} \sqrt{\frac{\mathrm{GM}}{\mathrm{R}_0}}=\sqrt{\frac{\mathrm{GM}}{\mathrm{R}_0^3}}\)
NCERT-XI- I -137
5 RBTS PAPER
164000
Ratio of K.E. required for the satellite to escape the earth's surface to the K.E. required to orbit just close to the earth is :
1 \(1: 1\)
2 \(2: 1\)
3 \(1: 2\)
4 None of these
Explanation:
Here \(E_e=\frac{1}{2} m v_e^2\) and \(E_0=\frac{1}{2} m v_0^2\) \( \therefore \frac{\mathrm{E}_{\mathrm{e}}}{\mathrm{E}_0}=\frac{\mathrm{v}_{\mathrm{e}}^2}{\mathrm{v}_0^2}=(\sqrt{2})^2=\frac{2}{1} \)
NCERT-XI- I -138
5 RBTS PAPER
164001
Two identical metal spheres of same material of density ' \(d\) ' are touching each other. What is the gravitational force of attraction between them ?
164003
Persons sitting in artificial satellite of the earth have
1 zero mass
2 zero weight
3 certain definite weight
4 infinite weight
Explanation:
The reaction force of the artificial satellite acting on the person sitting in satellite is zero. Therefore, the weight of the person is zero in artificial satellite is zero.