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This mock test of Central Forces MCQ Level – 1 for IIT JAM helps you for every IIT JAM entrance exam.
This contains 10 Multiple Choice Questions for IIT JAM Central Forces MCQ Level – 1 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

A spherical shell has mass M and radius R, A point mass m/2 kept inside the shell at a distance R/2 from centre. Then force of attraction on the mass is :

Solution:

Inside spherical shell gravitational field due to shell is zero.

The correct answer is: 0

QUESTION: 2

With what angular velocity the earth should spin in order that a body lying at 37° latitude may become weightless.

Solution:

Due to effect of rotation of earth

QUESTION: 3

A planet revolving around sun in an elliptical orbit has a constant :

Solution:

In elliptical orbit sun is at one of the foci hence the distance between the planet and sun changes as planet revolves hence linear speed, kinetic energy and potential energy of planet do not remain constant.

Angular momentum about the sun remains constant.

The correct answer is: angular momentum about the sun

QUESTION: 4

A tunnel is dug along the diameter of the earth (Radius * R* and mass

Solution:

Let the minimum speed imparted to the particle of mass m so that it just reaches surface of earth is v.

Applying conservation of energy

Solving we get

The correct answer is:

QUESTION: 5

A satellite of mass * m* revolves around the earth of radius

Solution:

The correct answer is:

QUESTION: 6

Which of the following graph represents the time period of the planet moving around the sun. [* R* = semi major axis of the path]

Solution:

T^{2} ∝ R^{3}

The correct answer is:

QUESTION: 7

At what height above the earth’s surface does the acceleration due to gravity fall to 1% of its value at the earth’s surface?

Solution:

Acceleration due to gravity at a height * h* from earth surface

⇒ h = 9 R

The correct answer is: 9

QUESTION: 8

Two particles, each of mass ** M** move around in a circle of radius

Solution:

⇒

The correct answer is:

QUESTION: 9

A geostationary satellite is one :

Solution:

A geostationary satellite has time period same as that of earth.

The correct answer is: whose time period is same as that of earth

QUESTION: 10

Three particles each of mass * m* are kept at vertices of an equilateral triangle of side

Solution:

Let us put a test mass **m**_{0 }at the center. Forces acting on it are

These forces are of equal magnitude and act at 120° with each other .

Hence,

∴ Fg = 0

The correct answer is: 0

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