CBSE Questions for Class 11 Engineering Physics Gravitation Quiz 16 - MCQExams.com

The work done by external agent to shift a point mass from infinity to the centre of earth is :
  • $$=0$$
  • $$>0$$
  • $$<0$$
  • $$<0$$
A body is thrown from the surface of the earth with a speed of $$\sqrt {GM/R} (R =$$ radius and $$M =$$ mass of earth). It rises to a maximum height of
  • $$R/2$$
  • $$R$$
  • $$4R$$
  • $$2R$$
A capillary tube is immersed vertically in water and the height of the water column is X. When this arrangement is taken into a mine of depth d, the height of the water column is Y. If R is the radius of the earth, the ratio X/Y is
  • $$1-\dfrac{d}{R}$$
  • $$1$$+$$\dfrac{d}{R}$$
  • $$\dfrac{R-d}{R+d}$$
  • $$\dfrac{R+d}{R-d}$$
The escape velocity of a body on the surface of the earth is $$11.2\ km/sec$$. If the mass and radius of a planet are $$4$$ and $$2$$ times respectively than that of earth. The escape velocity from the planet will be :
  • $$11.2\ km/sec$$
  • $$1.112\ km/sec$$
  • $$15.8\ km/sec$$
  • $$22.4\ km/sec$$
The gravitational force in a region is given by 
$$\vec{E}=ay\hat i+ax \hat j$$
The work done by gravitational force to shift a point mass $$m$$ from $$(0, 0, 0)$$ to $$(x_0, y_0, z_0)$$ is :
  • $$ma\ x_0y_0z_0$$
  • $$ma\ x_0y_0$$
  • $$-ma\ x_0y_0$$
  • $$zero$$
The gravitational field in a region is $$10\ N/kg (\hat i -\hat j)$$. The work done  by external agent to shift slowly a particle of mass $$1\ kg$$ from point $$(1\ m, 1\ m)$$ to a point $$(2\ m, -2\ m)$$ is :
  • $$40\ joule$$
  • $$-40\ joule$$
  • $$zero$$
  • $$+10\ joule$$
A body is projected vertically from the surface of the earth of radius $$R$$ with velocity equal to half of the escape velocity. The maximum height reached by the body is?
  • $$R/5$$
  • $$R/3$$
  • $$R/2$$
  • $$R/4$$
Two bodies each of mass $$1\ kg$$ are at a distance of $$1\ m$$. The escape velocity of a body of mass $$1\ kg$$ which is midway between them is :
  • $$8\times 10^{-5}\ m/s$$
  • $$2.31\times 10^{-5}\ m/s$$
  • $$4.2\times 10^{-5}\ m/s$$
  • $$zero$$
A gravitational field is present in a region. A point mass is shifted from $$A$$ to $$B$$, from different paths shown in the figure. If $$W_1, W_2$$ and $$W_3$$ represent work done by gravitational force for respective paths, then :
1702171_be9f3de3a5ec46a692cf8d9ea38b586d.png
  • $$W_1=W_2=W_3$$
  • $$W_1>W_2W_3$$
  • $$W_1>W_3>W_2$$
  • none of these
During the compression of the spring the work done by the force of gravity is
  • $$Mgx$$
  • $$\left(\dfrac {1}{2}\right)kx^2$$
  • $$-\left(\dfrac {1}{2}\right)kx^2$$
  • $$Mgx + \left(\dfrac {1}{2}\right)kx^2$$
Acceleration due to gravity 'g' for a body of mass 'm' on earth's surface is proportional to (Radius of earth= R , mass of earth= M)
  • $$GM/R^2$$
  • $$m^0$$
  • $$mM$$
  • $$1/R^{3/2}$$
An object of mass $$m$$ is located on the surface of a spherical planet of mass $$M$$ and radius $$R$$. The escape speed from the planet does not depend on which of the following?
  • $$M$$
  • $$m$$
  • the density of the planet
  • $$R$$
  • the acceleration due to gravity on that planet
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