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Gravitation Physics - Gravitation

UP Board (UPMSP) - STD 11 Science - Physics (UPMSP - English Medium). 81 questions in this chapter.

Question types

Gravitation question types

81 questions across 5 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

81
Questions
5
Question groups
5
Question types
Sample Questions

Gravitation questions

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

Q 1M.C.Q (1 Marks)1 Mark
Let $V$ and $E$ represent the gravitational potential and field at a distance $r$ from the centre of a uniform solid sphere. Consider the two statements:
  1. The plot of $V$ against $r$ is discontinuous.
  2. The plot of $E$ against $r$ is discontinuous.
  • A
    Both $A$ and $B$ are correct.
  • B
    $A$ is correct but $B$ is wrong.
  • C
    $B$ is correct but $A$ is wrong.
  • ✓
    Both $A$ and $B$ are wrong.

Answer: D.

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Q 2M.C.Q (1 Marks)1 Mark
Inside a uniform spherical shell:
  1. The gravitational potential is zero.
  2. The gravitational field is zero.
  3. The gravitational potential is same everywhere.
  4. The gravitational field is same everywhere.
  • A
    Only $A$
  • B
    $B$ and $D$
  • ✓
    $B,C$ and $D$
  • D
    Only $D$

Answer: C.

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Q 3M.C.Q (1 Marks)1 Mark
A body is suspended from a spring balance kept in a satellite. The reading of the balance is $\mathrm{W}_1$ when the satellite goes in an orbit of radius $R$ and is $W_2$ when it goes in an orbit of radius $2 R$.
 
  • ✓
    $W_1=W_2$
  • B
    $W_1$
  • C
    $W_1>W_2$
  • D
    $W_1 \neq W_2$

Answer: A.

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Q 4M.C.Q (1 Marks)1 Mark
The magnitude of gravitational potential energy of the moon$-$earth system is $U$ with zero potential energy at infinite separation. The kinetic energy of the moon with respect to the earth is $K$.
  • A
    $U < K$
  • ✓
    $U > K$
  • C
    $U = K$
  • D
    $K = U$

Answer: B.

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Q 5M.C.Q (1 Marks)1 Mark
If the acceleration due to gravity at the surface of the earth is g, the work done in slowly lifting a body of mass m from the earth's surface to a height R equal to the radius of the earth is:
  • ✓
    $\frac{1}{2}\text{mgR}$
  • B
    $2\text{mgR}$
  • C
    $\text{mgR}$
  • D
    $\frac{1}{4}\text{mgR}$

Answer: A.

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Q 62 Marks Questions2 Marks
Three particles of mass m each are placed at the three corners of an equilateral triangle of side a. Find the work which should be done on this system to increase the sides of the triangle to 2a.
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Q 72 Marks Questions2 Marks
Find the acceleration due to gravity in a mine of depth 640m if the value at the surface is $9.800 \mathrm{~m} / \mathrm{s}^2$. The radius of the earth is 6400km.
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Q 92 Marks Questions2 Marks
At noon, the sun and the earth pull the objects on the earth's surface in opposite directions. At midnight the sun and the earth pull these objects in same direction. Is the weight of an object, as measured by a spring balance on the earth's surface, more at midnight as compared to its weight at noon?
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Q 102 Marks Questions2 Marks
A mass of $6 \times 10^{24}kg$ (equal to the mass of the earth) is to be compressed in a sphere in such a way that the escape velocity from its surface is $3 \times 10^8m/s$. What should be the radius of the sphere?
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Q 113 Marks Question3 Marks
The gravitational potential energy of a two particle system is derived in this chapter as $\text{U}=-\frac{\text{Gm}_1\text{m}_2}{\text{r}}.$ Does it follow from this equation that the potential energy for $\text{r}=\infty$ must be zero? Can we choose the potential energy for $\text{r}=\infty.$ to be 20J and still use this formula? If no, what formula should be used to calculate the gravitational potential energy at separation r?
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Q 133 Marks Question3 Marks
Three uniform spheres each having a mass M and radius a are kept in such a way that each touches the other two. Find the magnitude of the gravitational force on any of the spheres due to the other two.
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Q 143 Marks Question3 Marks
The weight of an object is more at the poles than at the equator. Is it benificial to purchase goods at equator and sell them at the pole? Does it matter whether a spring balance is used or an equal-beam balance is used?
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Q 153 Marks Question3 Marks
The moon takes about 27.3 days to revolve round the earth in a nearly circular orbit of radius $3.84 \times 10^5km$. Calculate the mass of the earth from these data.
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Q 165 Marks Questions5 Marks
Suppose the gravitational potential due to a small system is $\frac{\text{k}}{\text{r}^2}$ at a distance r from it. What will be the gravitational field? Can you think of any such system? What happens if there were negative masses?
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Q 175 Marks Questions5 Marks
A particle is fired vertically upward with a speed of 15km/s. With what speed will it move in intersteller space. Assume only earth's gravitational field.
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Q 185 Marks Questions5 Marks
An apple falls from a tree. An insect in the apple finds that the earth is falling towards it with an acceleration g. Who exerts the force needed to accelerate the earth with this acceleration g?
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Q 205 Marks Questions5 Marks
Derive an expression for the gravitational field due to a uniform rod of length L and mass M at a point on its perpendicular bisector at a distance d from the centre.
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Q 22Case study (4 Marks)4 Marks
Find the acceleration due to gravity of the moon at a point 1000 km above the moon's surface. The mass of the moon is $7.4 \times 10^{22} \mathrm{~kg}$ and its radius is 1740 km .
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