Gravitation - Quiz 12

GRAVITATION QUIZ-12

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.In problem 81, what is the gravitational intensity at a point for which x < r?

•  Gm/r²
•  Gm/x²
•   Gm/R²
•  Zero

Solution

Q2.The percentage change in the acceleration of the earth towards the Sun from a total eclipse of the Sun to the point where the Moon is on a side of earth directly opposite to the Sun is

•  (M_s/M_m) (r₂/r₁)×100
•  (M_s/M_m) (r₂/r₁ )²×100
•  2(r₁/r₂ )² M_m/M_s ×100
•  (r₁/r₂ )² M_m/M_s ×100

Solution

Q3.The two planets with radii R₁,R₂ have densities ρ₁,ρ₂, and atmospheric pressure p₁ and p₂, respectively. Therefore, the ratio of masses of their atmospheres, neglecting variation of g and ρ within the limits of atmosphere, is

•  (p₁ R₂ ρ₁)/(p₂ R₁ ρ₂ )
•  (p₁ R₂ ρ₂)/(p₂ R₁ ρ₁ )
•  (p₁ R₁ ρ₁)/(p₂ R₂ ρ₂ )
•  (p₁ R₁ ρ₂)/(p₂ R₂ ρ₁)

Solution

Q4.If g is the acceleration due to gravity on the earth's surface, the change in the potential energy of an object of mass m raised from the surface of the earth to a height equal to the radius R of the earth is

•  mgR/2
•  2mgR
•  mgR
•  -mgR

Solution

Q5.The value of g at a particular point is 10 m s^-2. Suppose the earth shrinks uniformly to half of its present size without losing any mass. The value of g at the same point (assuming that the distance of the point from the centre of the earth does not change) will now be

•  5 m s^-2
•  10 m s^-2
•  3 m s^-2
•  20 m s^-2

Solution

Q6.If g is acceleration due to gravity on the earth's surface, the gain in the potential energy of an object of mass m raised from the surface of earth to a height equal to the radius R of the earth is

•  1/2 mgR
•  0.12mgR
•  mgR
•  1/4 mgR

Solution

Q7.If W₁,W₂ and W₃ represent the work done in moving a particle from A to B along three different paths 1, 2 and 3, respectively, (as shown in the figure) in the gravitational field of a point mass m, find the correct relation between W₁,W₂ and W₃

•  W₁>W₂>W₃
•  W₁=W₂=W₃
•  W₁ < W₂ < W₃
•  W₂>W₁>W₃

Solution

Q8.The maximum vertical distance through which a fully dressed astronaut can jump on the earth is 0.5 m. If mean density of the Moon is two-third that of the earth and radius is one quarter that of the earth, the maximum vertical distance through which he can jump on the Moon and the ratio of the time of duration of the jump on the Moon to hold on the earth are

•  3 m, 6:1
•  6 m, 3:1
•  3m, 1:6
•  6 m, 1:6

Solution

Q9. A satellite of mass m is revolving around the earth at height R (radius of the earth) from the earth's surface. Its potential energy will be

•  mgR
•  0.67 mgR
•  -mgR/2
•  0.33 mgR

Solution

Q10.Three particles, each of mass M, are placed at the three corners of an equilateral triangle of side l. What is the force due to this system of particles on another particle of mass m placed at the midpoint of any side?

•  3GMm/(4l²)
•  4GMm/(3l² )
•  GMm/(4l² )
• 4GMm/l²

Solution