MEDIUM

Earn 100

Which determiner correctly completes this sentence: 'I have ___ idea about the new project'?

50% studentsanswered this correctly

Important Questions on Binomial Theorem

MEDIUM

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for Positive Integral Indices

If the coefficient of the three successive terms in the binomial expansion of

{(1 + x)}^{n}

are in the ratio

1 : 7 : 42

, then the first of these terms in the expansion is

EASY

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for Positive Integral Indices

The time period of an Earth satellite, in circular orbit, is independent of

MEDIUM

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for Positive Integral Indices

If the period of a satellite in a circular orbit of radius

R

T

, then the period of another satellite in a circular orbit of the radius

4 R

EASY

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for Positive Integral Indices

Satellite is an object which revolves around the _____.

EASY

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for Positive Integral Indices

Two satellites

A

and

B

go round a planet in circular orbits having radii

4 R

and

R

, respectively. If the speed of satellite

A

3 V

, then the speed of satellite

B

EASY

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for Positive Integral Indices

Two satellites,

A

and

B

, moves around the earth in circular orbits at heights of

R_{A}

and

R_{B}

, respectively, from the surface of the earth. Assuming earth to be a uniform sphere of radius

R_{e}

, the ratio of the magnitudes of their orbital velocities is

EASY

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for Positive Integral Indices

What will be velocity of a satellite revolving around the earth at a height

h

above the surface of the earth if the radius of the earth is

R ?

EASY

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for Positive Integral Indices

A satellite

S

is moving in an elliptical orbit around earth. The mass of the satellite is very small compared to the mass of the earth.

EASY

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for Positive Integral Indices

Which of the following quantities does not depend upon the orbital radius of the satellite?

EASY

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for Positive Integral Indices

The orbital velocity of an artificial satellite in a circular orbit just above the earth's surface is

v

. For a satellite orbiting at an altitude of half of the earth's radius, the orbital velocity is

EASY

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for Positive Integral Indices

A small planet is revolving around a very massive star in a circular orbit of radius

R

with a period of revolution

T

. If the gravitational force between the planet and the star is proportional to

R^{- \frac{5}{2}}

, then

T

would be proportional to,

EASY

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for Positive Integral Indices

Two artificial satellites $A$ and $B$ are at a distance $r_{A}$ and $r_{B}$ above the earth's surface, respectively. If the radius of earth is $R$ , then the ratio of their speeds will be

EASY

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for Positive Integral Indices

An artificial satellite moving in a circular orbit around the earth has a total (kinetic

+

potential) energy

E_{0}

. Its potential energy is

EASY

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for Positive Integral Indices

The rotation period of an Earth's satellite, close to the surface of the Earth, is

83 \min

. The time period of another Earth's satellite in an orbit at a distance of three times of Earth's radius from its surface, will be

EASY

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for Positive Integral Indices

Satellites

A

and

B

are revolving around the orbit of Earth. The mass of

A

10

times of the mass of

B

. The ratio of their time periods

(\frac{T_{A}}{T_{B}})

EASY

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for Positive Integral Indices

Satellites orbiting the earth have a finite life and sometimes debris of satellites fall to the earth. This is because,

EASY

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for Positive Integral Indices

Two satellites

A

and

B

go round a planet

P

in circular orbits having radii

4 R

and

R

respectively. If the speed of the satellite

A

3 v

, the speed of the satellite

B

will be

EASY

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for Positive Integral Indices

Cotyledons are also called-

EASY

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for Positive Integral Indices

Rockets are launched in Eastward direction to take advantage of

EASY

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for Positive Integral Indices

A ball is dropped from a spacecraft revolving around the earth at a height of

100 km

, then the ball

Which determiner correctly completes this sentence: 'I have ___ idea about the new project'?

Important Questions on Binomial Theorem

Learn and Prepare for any exam you want !