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CBSE Questions for Class 11 Engineering Physics Gravitation Quiz 1 - MCQExams.com

A planet in a distant solar system is 10 times more massive than the earth and its radius is 10 times smaller. Given that the escape velocity from the earth is 11km s1, the escape velocity from the surface ofthe planet would be
  • 110kms1
  • 0.11kms1
  • 1.1kms1
  • 11kms1
The mass of a spaceship is 1000 kg. It is to be launched from the earths surface out into free space. The value of g and R (radius of earth) are 10 m/s and 6400 km respectively. The required energy for this work will be :
  • 6.4×1011 J
  • 6.4×108 J
  • 6.4×109 J
  • 6.4×1010 J
If g is the 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 the earth to a height equal to the radius R of the earth, is:
  • 2mgR
  • 12mgR
  • 14mgR
  • mgR
A body weighs 72N on the surface of the earth. What is the gravitational force on it due to the earth at a height equal to half the radius of the earth?
  • 16 N.
  • 28 N
  • 32 N
  • 72 N
A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the earth. Then,
  • the acceleration of S is always directed towards the centre of the earth.
  • the angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constant.
  • the total mechanical energy of S varies periodically with time.
  • the linear momentum of S remains constant in magnitude.
A body of mass 'm' taken from the earth's surface to the height equal to twice the radius (R) of the earth. The change in potential energy of body will be
  • 2mgR
  • 13mgR
  • 3mgR
  • 23mgR
A body weighs 200 N on the surface of the earth. How much it weigh half way down to the centre of the earth ?
  • 150N
  • 200N
  • 250N
  • 100N
The ratio of escape velocity at earth(ve) to the escape velocity at a planet(vp) whose radius and mean density are twice as that of earth is:
  • 1:2
  • 1:22
  • 1:4
  • 1:2
The acceleration due to gravity at a height 1 km above the earth is the same as at a depth d below the surface of earth. Then:
  • d=2km
  • d=12km
  • d=1km
  • d=32km
If ve is escape velocity and vo is orbital velocity of a satellite for orbit close to the earth's surface, then these are related by :
  • vo=ve
  • ve=2vo
  • ve=2vo
  • vo=2ve
A particle of mass m is thrown upwards from the surface of the earth, with a velocity u. The mass and the radius of the earth are, respectively, M and R. G is gravitational constant and g is acceleration due to gravity on the surface of the earth. The minimum value of u so that the particle does not return back to earth is
  • 2GMR
  • 2GMR2
  • 2gR2
  • GMR2
Find out the correct relation for the dependance of change in acceleration due to gravity on the angle at the latitude due to rotation of earth?
  • dgcosϕ
  • dgcos2ϕ
  • dgcos3/2ϕ
  • dg1cosϕ
  • Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
  • Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
  • Assertion is correct but Reason is incorrect
  • Both Assertion and Reason are incorrect
The change in the gravitational potential energy when a body of mass m is raised to a height nR above the surface of the earth is (here R is the radius of the earth).
  • (nn+1)mgR
  • (nn1)mgR
  • nmgR
  • mgRn
The escape velocity for a body projected vertically upwards from the surface of earth is 11 km/s. If the body is projected at an angle of 450 with the vertical, the escape velocity will be
  • 112km/s
  • 22 km/s
  • 11 km/s
  • 11/2 km/s
If g on the surface of the Earth is 9.8 ms2, its value at a height of 6400km is: (Radius of the Earth =6400km)
  • 4.9 ms2
  • 9.8 ms2
  • 2.45 ms2
  • 19.6 ms2
A satellite is revolving around the earth in an elliptical orbit. Its speed will be
  • same at all points of the orbit
  • different at different point of the orbit
  • maximum at the farthest point
  • minimum at the nearest point
Which of the following quantities remain constant in a planetary motion, when seen from the surface of the sun?
  • Kinetic energy
  • Angular speed
  • Speed
  • Angular momentum
The escape velocity from the earth for a rocket is 11.2 km/sec. Ignoring the air resistance, the escape velocity of 10 mg grain of sand from the earth will be
  • 0.112 km/sec
  • 11.2 km/sec
  • 1.12 km/sec
  • None
The gravitational field is a conservative field. The work done in this field by moving an object from one point to another
  • depends on the end-points only.
  • depends on the path along which the object is moved.
  • depends on the end-points as well as the path between the points.
  • is not zero when the object is brought back to its initial position.
The escape velocity of a body depends upon its mass as
  • m0
  • m1
  • m3
  • m2
A gravitational field is present in a region. A point mass is shifted from A to B, along different paths shown in the figure. If W1W2 and W3 represent the work done by gravitational force for respective paths, then

5480.png
  • W1=W2=W3
  • W1>W2>W3
  • W1>W3>W2
  • none of these
The earth retains its atmosphere. This is due to
  • the special shape of the earth.
  • the escape velocity, which is greater than the mean speed of atmospheric molecules.
  • the escape velocity, which is less than the main speed of atmospheric molecules.
  • the suns gravitational effect.
If g on the surface of the Earth is 9.8 ms2, then it's value at a depth of 3200 km (Radius of the earth =6400 km) is
  • 9.8 ms2
  • zero
  • 4.9 ms2
  • 2.45 ms2
The value of quantity 'G' in the law of gravitation:
  • depends on mass of earth only
  • depends on radius of earth only
  • depends on both mass and radius of earth
  • is independent of mass and radius of the earth
The escape velocity from the earth for a rocket is 11.2 km/s ignoring air resistance. The escape velocity of 10 mg grain of sand from the earth will be
  • 0.112 km/s
  • 11.2 km/s
  • 1.12 km/s
  • 0.0112 kms1
The escape velocity of a sphere of mass m is given by
  • 2GMmRe
  • 2GMR2e
  • 2GMmR2e
  • 2GMRe
The value of g at a height of 100km from the surface of the Earth is nearly (Radius of the Earth = 6400km) (g on the surface of the Earth = 9.8m/s2)
  • 9.5ms2
  • 8.5ms2
  • 10.5ms2
  • 9.8ms2
Planets rotate around the Sun in a path best described as 
  • elliptical
  • circular
  • parabola
  • none of the above
The acceleration due to gravity at a depth of 1600km inside the earth is
  • 6.65 ms2
  • 7.35 ms2
  • 8.65 ms2
  • 4.35 ms2
At what height, the value of 'g' is half that on the surface of the earth of radius R?
  • R
  • 2R
  • 0.414R
  • 0.75R
The ratio of escape velocities of two planets if g values on the two planets are 9.9 m/s2 and 3.3 m/s2 and their radii are 6400km and 3400km respectively is
  • 2.36:1
  • 1.36:1
  • 3.36:1
  • 4.36:1
The difference in PE of an object of mass 10kg when it is taken from a height of 6400km to 12800km from the surface of the earth is
  • 3.11×108 J
  • 1.565×108 J
  • 2.65×108 J
  • 4.5×108 J
The kinetic energy needed to project a body of mass m from earth's surface ( radius R  ) to infinity is
  • mgR2
  • 2mgR
  • mgR
  • mgR4
A spring balance is on sea level. If a body is weighed with this balance at consecutively increasing heights from earth's surface, the weight indicated by the balance:
  • will go on decreasing continuously
  • will go on increasing continuously
  • will remain same
  • will first increase and then decrease
Acceleration due to gravity becomes half at a depth of half the radius of the earth.
  • True
  • False
An object is weighted in the following places using a spring balance. In which place will it weight the heaviest?
  • On the Moon
  • At the equator
  • At the pole
  • In outer space
Universal gravitational constant is indepndent of the intervening medium.
  • True
  • False
A satellite is orbiting around the earth. Then, the plane of the orbit:
  • must be equatorial plane.
  • must pass through the earth's centre.
  • must pass through the poles.
  • any plane with centre lying on the axis of rotation of the earth.
At what height in km over the earth's pole, the free fall acceleration decreases by one percent? (Assume the radius of the earth to be 6400 km).
  • 32
  • 64
  • 80
  • 1.253
The value of g on the earth's surface is 980cms2. Its value at a height of 64km from the earth's surface is:
  • 960.40cms2
  • 984.90cms2
  • 982.45cms2
  • 977.55cms2
State whether the given statement is True or False :
The value of G is high if the radius of the body is more and less if radius is less.
  • True
  • False
The factor(s) affecting the value of 'g' is(are):
  • depth of the body from earth's surface
  • height of the body from the earth's surface
  • mass of the body
  • both A and B
In the relation F= GMmr2, the quantity G
  • depends on the value of g at the place of observation.
  • is used only when the earth is one of the two masses.
  • is greatest at the surface of the earth.
  • is universal constant in nature.
The force of attraction between two unit point masses separated by a unit distance is called
  • Gravitational potential
  • Acceleration due to gravity.
  • Gravitational field
  • Universal gravitational constant.
Acceleration due to gravity ---------- with depth from the surface of the earth.
  • Decreases
  • Increases
  • Remains constant
  • Data insufficient
A body has a weight of 10kg on the surface of the Earth. What will be its mass and weight when taken to the centre of the Earth?
  • 10 kg, zero
  • zero, zero
  • 10 kg, 10g
  • zero, 10g
The weight of an object at the centre of the earth of radius R is 
  • Zero
  • Infinite
  • R times the weight at the surface of the earth.
  • 1/R2 times the weight at surface of the earth.
The minimum velocity of projection to go out from the earth's gravitational pull is called
  • Terminal velocity
  • Escape velocity
  • Angular velocity
  • Orbital velocity
State whether the given statement is True or False :
The value of G depends upon the mass of the two objects.
  • True
  • False
0:0:2


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