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question_answer1)
The gravitational force of attraction between two spherical bodies, each of mass 100 kg, if the distance between their centres is 100 m, is
A)
\[\text{6}.\text{67}\times \text{1}{{0}^{-\text{11}}}\text{ N}\] done
clear
B)
\[\text{6}.\text{67}\times \text{1}{{0}^{-\text{9}}}\text{ N}\] done
clear
C)
6.67 N done
clear
D)
\[\text{6}.\text{67}\times \text{1}{{0}^{-4}}\text{ N}\] done
clear
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question_answer2)
Find the gravitational force between two protons kept at a separation of 1 femtometre (1 femtometre\[=\text{1}{{0}^{-\text{15}}}\text{ m}\]). The mass of a proton is\[1.67\times {{10}^{-27}}kg\].
A)
\[1.8\times {{10}^{-42}}N\] done
clear
B)
\[1.8\times {{10}^{-29}}N\] done
clear
C)
\[1.8\times {{10}^{-39}}N\] done
clear
D)
\[1.86\times {{10}^{-34}}N\] done
clear
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question_answer3)
If the force of gravitation between the earth and a body of mass M on its surface be\[\text{9}\times \text{1}0\text{7 N,}\] what would be the value of M? Mass of the earth\[=\text{6}\times \text{1}0\text{24}\,\text{kg}\].
A)
\[\text{9}.\text{2}\times \text{1}{{0}^{\text{3}}}\text{ kg}\] done
clear
B)
\[\text{9}.\text{2}\times \text{1}{{0}^{5}}\text{ kg}\] done
clear
C)
\[\text{9}.\text{2}\times \text{1}{{0}^{\text{6}}}\text{ kg}\] done
clear
D)
\[\text{9}.\text{2}\times \text{1}{{0}^{\text{9}}}\text{ kg}\] done
clear
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question_answer4)
A sphere of mass 40 kg is attrached by another of mass 15 kg when their centres are 0.2 mapart, with a force of\[\text{9}.\text{8}\times \text{l}{{0}^{-\text{7}}}\text{ N}\text{.}\] Calculate the constant of gravitation.
A)
\[9.2\times {{10}^{-7}}N{{m}^{2}}k{{g}^{-2}}\] done
clear
B)
\[6.13\times {{10}^{-11}}N{{m}^{2}}k{{g}^{-2}}\] done
clear
C)
\[6.53\times {{10}^{-18}}N{{m}^{2}}k{{g}^{-2}}\] done
clear
D)
\[6.53\times {{10}^{-11}}N{{m}^{2}}k{{g}^{-2}}\] done
clear
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question_answer5)
Acceleration due to gravity on the surface of moon is\[\text{1}/{{\text{5}}^{th}}\]that at the surface of the earth. If radius of the moon is\[\text{1}/{{4}^{th}}\]that of the earth, ratio of the mass of the earth to mass of moon is
A)
20 done
clear
B)
40 done
clear
C)
60 done
clear
D)
80 done
clear
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question_answer6)
If a planet existed whose mass and radius both half those of the earth, the acceleration due to gravity at its surface would be
A)
\[\text{19}.\text{6 m}/{{\text{s}}^{\text{2}}}\] done
clear
B)
\[\text{9}.\text{8 m}/{{\text{s}}^{\text{2}}}\] done
clear
C)
\[\text{4}.\text{9 m}/{{\text{s}}^{\text{2}}}\] done
clear
D)
\[\text{2}.\text{45 m}/{{\text{s}}^{\text{2}}}\] done
clear
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question_answer7)
What will be the acceleration due to gravity on the surface of moon if its radius is\[{}^{1}/{}_{4}\]th the radius of the earth and its mass is\[{}^{1}/{}_{80}\]th the mass of earth?
A)
\[\frac{g}{2}\] done
clear
B)
\[\frac{g}{3}\] done
clear
C)
\[\frac{g}{7}\] done
clear
D)
\[\frac{g}{5}\] done
clear
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question_answer8)
If the radius of the earth was half of its present value and its mass To \[{}^{1}/{}_{8}\]th of the present mass, the g value would have been reduced to
A)
\[\frac{1}{8}g\] done
clear
B)
\[\frac{1}{2}g\] done
clear
C)
\[\frac{1}{3}g\] done
clear
D)
\[g\] done
clear
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question_answer9)
At what height above the earths surface does the acceleration due to gravity fall to 1% of its value at the earths surface?
A)
R done
clear
B)
5 R done
clear
C)
10 R done
clear
D)
9 R done
clear
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question_answer10)
A man weights W on the surface of Earth. What is the weight at a height equal to R?
A)
W done
clear
B)
W/2 done
clear
C)
W/4 done
clear
D)
W/8 done
clear
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question_answer11)
If g is acceleration due to gravity on the surface of the earth having radius R, the height above the surface of earth at which the acceleration due to g gravity reducer to\[\frac{g}{2}\]is
A)
\[\frac{R}{2}\] done
clear
B)
\[(\sqrt{2}-1)R\] done
clear
C)
\[R/\sqrt{2}\] done
clear
D)
\[\frac{121R}{100}\] done
clear
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question_answer12)
Find the ratio of weights of a body at heights \[{}^{R}/{}_{2}\] and \[{}^{R}/{}_{3}\]from the surface of the earth (where R is the radius of the earth)
A)
\[\frac{3}{2}\] done
clear
B)
\[\frac{2}{3}\] done
clear
C)
\[\frac{64}{81}\] done
clear
D)
\[\frac{1}{2}\] done
clear
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question_answer13)
A body weights 63N on the surface of the Earth. At a height h above the surface of Earth, its weight is 28N while at a depth h below the surface of Earth, the weight is 31.5N. The value of h is
A)
0.4 R done
clear
B)
0.5 R done
clear
C)
0.8 R done
clear
D)
R done
clear
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question_answer14)
The depth from the surface of the earth at which the acceleration due to gravity will be 75% of the value on the surface of the earth, (radius of the earth = R)
A)
R/4 done
clear
B)
3R/4 done
clear
C)
R/2 done
clear
D)
R/8 done
clear
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question_answer15)
If the change in the value of g at a height h above the surface of earth is same as at a depth d below it, then (both d and h being much smaller than the radius of the earth).
A)
d = h/2 done
clear
B)
d = h done
clear
C)
d = 2h done
clear
D)
\[\text{d}={{\text{h}}^{\text{2}}}\] done
clear
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question_answer16)
g value at a depth \[{}^{R}/{}_{10}\]from the surface of the earth is
A)
\[\frac{4g}{5}\] done
clear
B)
\[\frac{9g}{10}\] done
clear
C)
\[\frac{g}{10}\] done
clear
D)
g done
clear
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question_answer17)
A stationary satellite orbits the earth in the plane of the equator in a period of 24 hours. What is the orbital radius for this stationary satellite? Use the fact that a satellite close to the earth has an orbital radius of 1.025 R, where R is the earth's mean radius and in a time period of 88 minutes.
A)
8.6 R done
clear
B)
6.6 R done
clear
C)
4.6 R done
clear
D)
10.6 R done
clear
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