Question types

PART - 1 CH - 7 Gravitation question types

62 questions across 7 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

62
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7
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5
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Sample Questions

PART - 1 CH - 7 Gravitation questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

The intensity of the gravitational field at a distance $r$ from the center of a spherical shell of mass M and radius $R (r< R )$ will be :
  • A
    $E _g=\frac{- GM }{r^2}$
  • B
    $E _g=-\frac{ GM }{ R ^2}$
  • C
    $E _g=-\frac{ GM r}{ R ^3}$
  • Zero

Answer: D.

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The diameters of two planets are in the ratio $4: 1$ and the ratio of their density is $1: 2$. What will be the ratio of gravitational accelerations on the planets?
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At depth $x$ from the earth's surface the value of $g^{\prime}$ remains half of that of at the surface. What will be the value of $g ^{\prime}$ obtained at the same height.
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A satellite is moving in a circular orbit of radius $R$. If the radius is increased to $1.02 R$ then what will be the percentage change in its period?
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Q 163 Marks Question3 Marks
The radius of a planet is three times the radius of the Earth but the density of both is same. If $v_p$ on $v_e$ are the escape velocities on the planet and the earth then prove that $v_P=3 v_e$.
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Q 173 Marks Question3 Marks
Three objects of equal mass $M$ are located at the vertices of an equilateral triangle of side $a$. At what speed should the three bodies be rotated on a circle so that the triangle moves on the circumference of the circular chamber and the side of the triangle remains unchanged.
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Find the height of the geostationary satellite from the earth's surface by finding the formula for the height of the satellite from the earth's surface and also find the value of orbital velocity of the geostationary satellite.
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Derive the formulas for the orbital velocity and rotation period of a satellite revolving near the Earth's surface and find their values. Establish a relation between escape velocity and orbital velocity.
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(i) What is escape velocity? Prove that the velocity required to escape from earth's gravity is 11.2 km/s. Find the value of escape velocity for the moon.
(ii) Calculate the value of escape velocity required to make an object situated at a height h above the earth's surface
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Column - AColumn - B
1. Potential energy changes(A) $V _0=\sqrt{g R }$
2. The value of escape velocity (G) Zero for the Moon as compared to that of the Earth(B) $+\frac{ GM m}{2 r}$
3. The value of orbital velocity will be(C) $\frac{1}{5}$ times
4. The period of revolution of a satellite orbiting near the Earth is(D) In the form of a hyperbola
5. The value of binding energy will be(E) 84.6 minutes
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Column – AColumn - B
1. Value of $\overrightarrow{ F }_{12}+\overrightarrow{ F }_{21}$ will be(A) Less
2. The gravitational force between two 1 kg balls can be expected because it is very_________ .(B) Towards the sun
3. Centripetal force is applied on the planets which has a direction(C) In the form of a hyperbola
4. There is a relationship between gravitational acceleration (g) and universal constant G(D) Zero
5. Potential energy changes(E) $g=\frac{4}{3} \pi R GP$
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