Acceleration Due to Gravity of the Earth
PHXI08:GRAVITATION

359606 A spherical planet has a mass \(M_{p}\) and diameter \(D_{p}\). A particle of mass \(m\) falling freely near the surface of the planet will experience an acceleration due to gravity, equal to

1 \(4 G M_{p} / D_{p}^{2}\)
2 \(G M_{p} m / D_{p}^{2}\)
3 \(4 G M_{p} m / D_{p}^{2}\)
4 \(G M_{p} / D_{p}^{2}\)
PHXI08:GRAVITATION

359607 The radii of two planets are respectively \(R_{1}\) and \(R_{2}\) and their densities are respectively \(\rho_{1}\) and \(\rho_{2}\). The ratio of the acceleration due to gravity at their surfaces is

1 \(g_{1}: g_{2}=\dfrac{\rho_{1}}{R_{1}^{2}}: \dfrac{\rho_{2}}{R_{2}^{2}}\)
2 \(g_{1}: g_{2}=R_{1} \rho_{2}: R_{2} \rho_{1}\)
3 \(g_{1}: g_{2}=R_{1} R_{2}: \rho_{1} \rho_{2}\)
4 \(g_{1}: g_{2}=R_{1} \rho_{1}: R_{2} \rho_{2}\)
PHXI08:GRAVITATION

359608 If the mass of a body is \(M\) on the surface of the earth, the mass of the same body on the surface of the moon is

1 \(M\)
2 Zero
3 \(M / 6\)
4 \(6\, M\)
PHXI08:GRAVITATION

359609 Mass of the moon is \(7.34 \times {10^{22}}\;kg\). If the acceleration due to gravity on the moon is \(1.4\;m/{s^2}\), the radius of the moon is \(\left( {G = 6.667 \times {{10}^{ - 11}}N{m^2}/k{g^2}} \right)\)

1 \(1.01 \times {10^8}\;m\)
2 \(0.56 \times {10^4}\;m\)
3 \(1.87 \times {10^6}\;m\)
4 \(1.92 \times {10^6}\;m\)
PHXI08:GRAVITATION

359606 A spherical planet has a mass \(M_{p}\) and diameter \(D_{p}\). A particle of mass \(m\) falling freely near the surface of the planet will experience an acceleration due to gravity, equal to

1 \(4 G M_{p} / D_{p}^{2}\)
2 \(G M_{p} m / D_{p}^{2}\)
3 \(4 G M_{p} m / D_{p}^{2}\)
4 \(G M_{p} / D_{p}^{2}\)
PHXI08:GRAVITATION

359607 The radii of two planets are respectively \(R_{1}\) and \(R_{2}\) and their densities are respectively \(\rho_{1}\) and \(\rho_{2}\). The ratio of the acceleration due to gravity at their surfaces is

1 \(g_{1}: g_{2}=\dfrac{\rho_{1}}{R_{1}^{2}}: \dfrac{\rho_{2}}{R_{2}^{2}}\)
2 \(g_{1}: g_{2}=R_{1} \rho_{2}: R_{2} \rho_{1}\)
3 \(g_{1}: g_{2}=R_{1} R_{2}: \rho_{1} \rho_{2}\)
4 \(g_{1}: g_{2}=R_{1} \rho_{1}: R_{2} \rho_{2}\)
PHXI08:GRAVITATION

359608 If the mass of a body is \(M\) on the surface of the earth, the mass of the same body on the surface of the moon is

1 \(M\)
2 Zero
3 \(M / 6\)
4 \(6\, M\)
PHXI08:GRAVITATION

359609 Mass of the moon is \(7.34 \times {10^{22}}\;kg\). If the acceleration due to gravity on the moon is \(1.4\;m/{s^2}\), the radius of the moon is \(\left( {G = 6.667 \times {{10}^{ - 11}}N{m^2}/k{g^2}} \right)\)

1 \(1.01 \times {10^8}\;m\)
2 \(0.56 \times {10^4}\;m\)
3 \(1.87 \times {10^6}\;m\)
4 \(1.92 \times {10^6}\;m\)
PHXI08:GRAVITATION

359606 A spherical planet has a mass \(M_{p}\) and diameter \(D_{p}\). A particle of mass \(m\) falling freely near the surface of the planet will experience an acceleration due to gravity, equal to

1 \(4 G M_{p} / D_{p}^{2}\)
2 \(G M_{p} m / D_{p}^{2}\)
3 \(4 G M_{p} m / D_{p}^{2}\)
4 \(G M_{p} / D_{p}^{2}\)
PHXI08:GRAVITATION

359607 The radii of two planets are respectively \(R_{1}\) and \(R_{2}\) and their densities are respectively \(\rho_{1}\) and \(\rho_{2}\). The ratio of the acceleration due to gravity at their surfaces is

1 \(g_{1}: g_{2}=\dfrac{\rho_{1}}{R_{1}^{2}}: \dfrac{\rho_{2}}{R_{2}^{2}}\)
2 \(g_{1}: g_{2}=R_{1} \rho_{2}: R_{2} \rho_{1}\)
3 \(g_{1}: g_{2}=R_{1} R_{2}: \rho_{1} \rho_{2}\)
4 \(g_{1}: g_{2}=R_{1} \rho_{1}: R_{2} \rho_{2}\)
PHXI08:GRAVITATION

359608 If the mass of a body is \(M\) on the surface of the earth, the mass of the same body on the surface of the moon is

1 \(M\)
2 Zero
3 \(M / 6\)
4 \(6\, M\)
PHXI08:GRAVITATION

359609 Mass of the moon is \(7.34 \times {10^{22}}\;kg\). If the acceleration due to gravity on the moon is \(1.4\;m/{s^2}\), the radius of the moon is \(\left( {G = 6.667 \times {{10}^{ - 11}}N{m^2}/k{g^2}} \right)\)

1 \(1.01 \times {10^8}\;m\)
2 \(0.56 \times {10^4}\;m\)
3 \(1.87 \times {10^6}\;m\)
4 \(1.92 \times {10^6}\;m\)
PHXI08:GRAVITATION

359606 A spherical planet has a mass \(M_{p}\) and diameter \(D_{p}\). A particle of mass \(m\) falling freely near the surface of the planet will experience an acceleration due to gravity, equal to

1 \(4 G M_{p} / D_{p}^{2}\)
2 \(G M_{p} m / D_{p}^{2}\)
3 \(4 G M_{p} m / D_{p}^{2}\)
4 \(G M_{p} / D_{p}^{2}\)
PHXI08:GRAVITATION

359607 The radii of two planets are respectively \(R_{1}\) and \(R_{2}\) and their densities are respectively \(\rho_{1}\) and \(\rho_{2}\). The ratio of the acceleration due to gravity at their surfaces is

1 \(g_{1}: g_{2}=\dfrac{\rho_{1}}{R_{1}^{2}}: \dfrac{\rho_{2}}{R_{2}^{2}}\)
2 \(g_{1}: g_{2}=R_{1} \rho_{2}: R_{2} \rho_{1}\)
3 \(g_{1}: g_{2}=R_{1} R_{2}: \rho_{1} \rho_{2}\)
4 \(g_{1}: g_{2}=R_{1} \rho_{1}: R_{2} \rho_{2}\)
PHXI08:GRAVITATION

359608 If the mass of a body is \(M\) on the surface of the earth, the mass of the same body on the surface of the moon is

1 \(M\)
2 Zero
3 \(M / 6\)
4 \(6\, M\)
PHXI08:GRAVITATION

359609 Mass of the moon is \(7.34 \times {10^{22}}\;kg\). If the acceleration due to gravity on the moon is \(1.4\;m/{s^2}\), the radius of the moon is \(\left( {G = 6.667 \times {{10}^{ - 11}}N{m^2}/k{g^2}} \right)\)

1 \(1.01 \times {10^8}\;m\)
2 \(0.56 \times {10^4}\;m\)
3 \(1.87 \times {10^6}\;m\)
4 \(1.92 \times {10^6}\;m\)
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