Gravitation - Quiz 2

GRAVITATION QUIZ-2

Dear Readers,

JEE Advanced Physics Syllabus can be referred by the IIT aspirants to get a detailed list of all topics that are important in cracking the entrance examination. JEE Advanced syllabus for Physics has been designed in such a way that it offers very practical and application-based learning to further make it easier for students to understand every concept or topic by correlating it with day-to-day experiences. In comparison to the other two subjects, the syllabus of JEE Advanced for physics is developed in such a way so as to test the deep understanding and application of concepts.

Gravitation is an easy to understand and a highly scoring topic. It might have a 1% weightage in the entire JEE Physics portion but do not neglect. You can practice these questions on regular basis to know what are the important points to remember at the moment when gravitation question comes.

Q1.Two bodies of masses M₁ and M₂ are placed at a distance R apart. Then at the position where the gravitational field due to them is zero, the gravitational potential is

•  -G(M₁)^1/2/R
•  -G(M₂)^1/2/R
•  -(M₁^1/2 + M₂^1/2)² G/R
•  (M₁^1/2 + M₂^1/2)² G/R

Solution

 

Q2.Two satellite of masses m₁ and m₂ (m₁>m₂) are revolving around the earth in a circular orbit of radii r₁ and r₂ (r₁>r₂), respectively. Which of the following statements is true regarding their speeds v₁ and v₂?

•  v₁ = v₂
•  v₁> v₂
•  v₁< v₂
•  v₁/r₁ = v_2/r₂

Solution

Q3.A satellite is seen after each 8 h over the equator at a place on the earth when its sense of rotation is opposite to the earth. The time interval after which it can be seen at the same place when the sense of rotation of the earth and the satellite is the same will be

•   8h
•  12h
•  24h
•  6h

Solution

Q4.A body starts from rest from a point distant r₀ from the centre of the earth. It reaches the surface of the earth whose radius is R. The velocity acquired by the body is

•  GM(1/R - 1/R₀)^1/2
•  2GM(1/R - 1/R₀)^1/2
•  GM(1/R - 1/R₀)^1/2
•  GM(1/R - 1/R₀)^1/2

Solution

Q5.A rocket is launched vertically from the surface of earth with an initial velocity v. How far above the surface of earth it will go? Neglect the air resistance

•  R(2gR/v² - 1)^-1/2
•  R(2gR/v² - 1)
•  R(2gR/v² - 1)^-1
•  R(2gR/v² - 1)²

Solution

Q6.In problem 86, what is the gravitational field strength at the location of m?

•  GM/l²
• 4GM/l²
•  4GM/3l²
•  GM/3l²

Solution

Q7.A particle of mass 10 g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm. Find the work done against the gravitational force between them to take the particle far away from the sphere

•  13.34 X 10^-10J
•  3.33 X 10^-10J
•  6.67 X 10^-9J
•  6.67 X 10^-10J

Solution

Q8. A comet is in highly elliptical orbit around the Sun. The period of the comet's orbit is 90 days. Some statements are given are given regarding the collision between the comet and the earth. Mark the correct statement. [Mass of the Sun= 2×10³⁰ kg, mean distance between the earth and the Sun=1.5×10¹¹ m]

•  V² /8g
•  R
•  2^1/2R
•  None of these

Solution

Q9.Two particles of equal mass go around a circle of radius R under the action of their mutual gravitational attraction. The speed of each particle is

•  v=(1/2R) (1/GM)^1/2
•  v=(GM/2R)^1/2
•  v=(1/2) (GM/R)^1/2
•  v= (4GM/R)^1/2

Solution

Q10.Imagine that you are in a spacecraft orbiting around the earth in a circle of radius 7000 km (from the centre of the earth). If you decrease the magnitude of mechanical energy of the spacecraft -earth system by 10% by firing the rockets, then what is the greatest height you can take your spacecraft above the surface of the earth? [R=6400 km]

•  6400 km
•  540 km
•  2140 km
• 3000 km

Solution