English

Answer the following question. State Kepler’s law of period.

Advertisements
Advertisements

Question

Answer the following question.

State Kepler’s law of the period.

Short/Brief Note
Advertisements

Solution

Statement:

The square of the time period of revolution of a planet around the Sun is proportional to the cube of the semimajor axis of the ellipse traced by the planet.

shaalaa.com
  Is there an error in this question or solution?
Chapter 5: Gravitation - Exercises [Page 97]

APPEARS IN

Balbharati Physics [English] Standard 11 Maharashtra State Board
Chapter 5 Gravitation
Exercises | Q 2. (ii) | Page 97

RELATED QUESTIONS

State Kepler's law of orbit and law of equal areas.


A comet orbits the Sun in a highly elliptical orbit. Does the comet have a constant (a) linear speed, (b) angular speed, (c) angular momentum, (d) kinetic energy, (e) potential energy, (f) total energy throughout its orbit? Neglect any mass loss of the comet when it comes very close to the Sun.


A Saturn year is 29.5 times the earth year. How far is the Saturn from the sun if the earth is 1.50 ×108 km away from the sun?


The orbit of a planet revolving around a star is ______.


The square of its period of revolution around the sun is directly proportional to the ______ of the mean distance of a planet from the sun.


The third law of Kepler is also known as the Law of ______.


The earth moves around the sun in an elliptical orbit as shown in the figure. The ratio, `"OA"/"OB"` = x. The ratio of the speed of the earth at Band at A is ______.


To verify Kepler's third law graphically four students plotted graphs. Student A plotted a graph of T (period of revolution of planets) versus r (average distance of planets from the sun) and found the plot is straight line with slope 1.85. Student B plotted a graph of T2 v/s r3 and found the plot is straight line with slope 1.39 and negative Y-intercept. Student C plotted graph of log T v/s log r and found the plot is straight line with slope 1.5. Student D plotted graph of log T v/s log r and found the plot is straight line with slope 0.67 and with negative X-intercept. The correct graph is of student


In our solar system, the inter-planetary region has chunks of matter (much smaller in size compared to planets) called asteroids. They ______.


If the sun and the planets carried huge amounts of opposite charges ______.

  1. all three of Kepler’s laws would still be valid.
  2. only the third law will be valid.
  3. the second law will not change.
  4. the first law will still be valid.

Supposing Newton’s law of gravitation for gravitation forces F1 and F2 between two masses m1 and m2 at positions r1 and r2 read F1 = – F2 = `- r_12/r_12^3 GM_0^2 ((m_1m_2)/M_0^2)^n` where M0 is a constant of dimension of mass r12 = r1 – r2 and n is a number. in such a case.

  1. the acceleration due to gravity on earth will be different for different objects.
  2. none of the three laws of Kepler will be valid.
  3. only the third law will become invalid.
  4. for n negative, an object lighter than water will sink in water.

Give one example each of central force and non-central force.


Draw areal velocity versus time graph for mars.


What is the direction of areal velocity of the earth around the sun?


Out of aphelion and perihelion, where is the speed of the earth more and why?


The maximum and minimum distances of a comet from the Sun are 1.6 × 1012 m and 8.0 × 1010 m respectively. If the speed of the comet at the nearest point is 6 × 104 ms-1, the speed at the farthest point is ______.


Two planets A and B of equal mass are having their period of revolutions TA and TB such that TA = 2TB. These planets are revolving in the circular orbits of radii rA and rB respectively. Which out of the following would be the correct relationship of their orbits?


What is one practical use of Kepler’s laws?


How can an ellipse be drawn using pins and thread?


What is at one focus of the elliptical orbit of a planet?


The time taken by a planet to orbit the Sun depends on ______.


When is a planet moving fastest in its orbit?


Two identical particles each of mass ‘m’ go round a circle of radius a under the action of their mutual gravitational attraction. The angular speed of each particle will be ______


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×