A cavity of radius R 2 is made in a uniform sphere of mass M and radius R as shown in figure. A particle is projected from the centre of cavity at an angle of 45 ° with speed G M 4 R in x y plane. Considering the motion of particle before collision with the wall of cavity, choose the correct option(s). q m = 1 C kg - 1

Velocity of particle in y direction will not change

A cavity of radius R 2 is made in a uniform sphere of mass M and radius R as shown in figure. A particle is projected from the centre of cavity at an angle of 45 ° with speed G M 4 R in x y plane. Considering the motion of particle before collision with the wall of cavity, choose the correct option(s). q m = 1 C kg - 1

Velocity of particle in y direction will not change

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A cavity of radius $\frac{R}{2}$ is made in a uniform sphere of mass $M$ and radius $R$ as shown in figure. A particle is projected from the centre of cavity at an angle of $45 °$ with speed $\sqrt{\frac{G M}{4 R}}$ in $x y$ plane. Considering the motion of particle before collision with the wall of cavity, choose the correct option(s). $\frac{q}{m} = 1 C {kg}^{- 1}$

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Important Questions on Gravitation

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Gamma Question Bank for Engineering Physics>Chapter 7 - Gravitation>EXERCISE 7.1>Q 2

Two metallic spheres of mass

M

are suspended by two strings each of length

L

. The distance between the upper ends of strings is

L

. The angle which the strings will make with the vertical due to mutual attraction sphere is (if each mass horizontally moved by a distance of

\frac{L}{4}

due to mutual attraction)

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Gamma Question Bank for Engineering Physics>Chapter 7 - Gravitation>EXERCISE 7.1>Q 3

Two particles of equal mass

m

go around a circle of radius

R

under the action of their mutual gravitational attraction. The speed of each particle with respect to their centre of mass is

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Gamma Question Bank for Engineering Physics>Chapter 7 - Gravitation>EXERCISE 7.1>Q 4

Three identical bodies of mass

M

are located at the vertices of an equilateral triangle of side

L

. They revolve under the effect of mutual gravitational force in circles circumscribing the triangle. The speed of each body

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Gamma Question Bank for Engineering Physics>Chapter 7 - Gravitation>EXERCISE 7.1>Q 5

If four equal masses (each of mass

M

) initially placed at the vertices of a square of each side

L

are moving in a circular path circumscribing the square. If the force responsible for their circular motion is only mutual gravitational attraction. Find the speed of each mass.

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Gamma Question Bank for Engineering Physics>Chapter 7 - Gravitation>EXERCISE 7.1>Q 6

A straight rod of length

L

extends from

x = 0

x = L

. The linear mass density of the rod varies with

x

co-ordinate is

λ = a_{0} + b_{0} x^{2}

. The gravitational force experienced by a point mass

m

x = - a

, is

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Gamma Question Bank for Engineering Physics>Chapter 7 - Gravitation>EXERCISE 7.2>Q 8

If the earth stops rotating about its axis, the acceleration due to gravity will remain unchanged at _____.

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Gamma Question Bank for Engineering Physics>Chapter 7 - Gravitation>EXERCISE 7.2>Q 9

A rocket is fired from the earth's surface to the moon's surface. The distance between the centre's of earth and the moon is

r

and the mass of the earth is

81

times the mass of the moon. The gravitational force on the rocket will be zero, when its distance from the moon is

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Gamma Question Bank for Engineering Physics>Chapter 7 - Gravitation>EXERCISE 7.2>Q 10

Infinite number of masses, each of mass

m

, are placed along a straight line at distances

r, 2 r, 4 r, 8 r

etc. from a reference point

O

. The gravitational field at

O

will be

Important Questions on Gravitation

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