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Physics Part-I

Gravitation

Let us assume that our galaxy consists of 2.5, , 10^{11} stars

Physics Part-I

Class 11

NCERT

Chapter 1: Physical World

16 questions

Chapter 2: Units and Measurements

51 questions

Chapter 3: Motion in Straight Line

50 questions

Chapter 4: Motion in a Plane

43 questions

Chapter 5: Laws of motion

52 questions

Chapter 6: Work, Energy and Power

41 questions

Chapter 7: System of Particles and Rotational Motion

45 questions

Chapter 8: Gravitation

33 questions

Io, one of the satellites of Jupiter has an orbital period of 1.769 days and the radius of the orbit is

4.22 \times 1 0^{8} m

. Show that the mass of Jupiter is about one-thousandth that of the sun.

Let us assume that our galaxy consists of

2.5 \times 1 0^{11}

stars each of one solar mass. How long will a star at a distance of 50,000 ly from the galactic centre take to complete one revolution ? Take the diameter of the Milky Way to be

1 0^{5}

ly.

Choose the correct alternative:
(a) If the zero of potential energy is at infinity, the total energy of an orbiting satellite is negative of its kinetic / potential energy.
(b) The energy required to launch an orbiting satellite out of earths gravitational influence is more/less than the energy required to project a stationary object at the same height (as the satellite) out of earths influence.

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Solving time: 1 mins

Let us assume that our galaxy consists of $2.5 \times 1 0^{11}$ stars each of one solar mass. How long will a star at a distance of 50,000 ly from the galactic centre take to complete one revolution ? Take the diameter of the Milky Way to be $1 0^{5}$ ly.

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Updated on: Mar 16, 2023

Book:

Physics Part-I (NCERT)

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Michael Discussed

Let us assume that our galaxy consists of

2.5 \times 1 0^{11}

stars each of one solar mass. How long will a star at a distance of 50,000 ly from the galactic centre take to complete one revolution ? Take the diameter of the Milky Way to be

1 0^{5}

ly.

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

Mass of our galaxy Milky Way,

M = 2.5 \times 1 0^{11} so l a r ma ss

1 Solar mass = Mass of Sun

= 2 \times 1 0^{30} k g

Mass of our galaxy,

M = 2.5 \times 1 0^{11} \times 2 \times 1 0^{30} = 5 \times 1 0^{41} k g

Diameter of Milky Way,

d = 1 0^{5} l y

Radius of Milky Way,

r = 5 \times 1 0^{4} l y

1 l y = 9.46 \times 1 0^{15} m

∴ r = 5 \times 1 0^{4} \times 9.46 \times 1 0^{15}

= 4.73 \times 1 0^{20}

Since a star revolves around the galactic centre of the Milky Way, its time period is given by the relation:

T = (4 π^{2} r^{3} / GM)^{1/2}

= \frac{4 \times 3.1 4 ^{2} \times 4.7 3 ^{3} \times 1 0 ^{60}}{6.67 \times 1 0 ^{- 11} \times 5 \times 1 0 ^{41}}

= 1.12 \times 1 0^{16} s

= \frac{1.12 \times 1 0 ^{16}}{365 \times 24 \times 60 \times 60} ye a rs

= 3.55 \times 1 0^{8} ye a rs

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Practice more questions from Physics Part-I (NCERT)

Io, one of the satellites of Jupiter has an orbital period of 1.769 days and the radius of the orbit is

4.22 \times 1 0^{8} m

. Show that the mass of Jupiter is about one-thousandth that of the sun.

Let us assume that our galaxy consists of

2.5 \times 1 0^{11}

stars each of one solar mass. How long will a star at a distance of 50,000 ly from the galactic centre take to complete one revolution ? Take the diameter of the Milky Way to be

1 0^{5}

ly.

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Question Text	Let us assume that our galaxy consists of $2.5 \times 1 0^{11}$ stars each of one solar mass. How long will a star at a distance of 50,000 ly from the galactic centre take to complete one revolution ? Take the diameter of the Milky Way to be $1 0^{5}$ ly.
Updated On	Mar 16, 2023
Topic	Gravitation
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 4
Upvotes	462
Avg. Video Duration	8 min

Let us assume that our galaxy consists of $2.5 \times 1 0^{11}$ stars each of one solar mass. How long will a star at a distance of 50,000 ly from the galactic centre take to complete one revolution ? Take the diameter of the Milky Way to be $1 0^{5}$ ly.

Text solutionVerified

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Let us assume that our galaxy consists of $2.5 \times 1 0^{11}$ stars each of one solar mass. How long will a star at a distance of 50,000 ly from the galactic centre take to complete one revolution ? Take the diameter of the Milky Way to be $1 0^{5}$ ly.