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Class 11
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Physics
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Gravitation
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Medium Questions
Gravitation
Physics
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If R
$=$
radius of the earth and g
$=$
acceleration due to gravity on the surface of the earth, the acceleration due to gravity at a distance (r>R) from the centre of the earth is proportional to
A
$r$
B
$r_{2}$
C
$r_{−2}$
D
$r_{−1}$
Medium
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>
The height at which the value of acceleration due to gravity becomes
$50$
% of that at the surface of the earth (Radius of the earth
$=6400$
km) is nearly
A
$2650$
km
B
$2430$
km
C
$2250$
km
D
$2350$
km
Medium
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>
A missile is launched with a velocity less than the escape velocity. The sum of its kinetic and potential energies is
A
positive
B
negative
C
zero
D
may be positive or negative depending upon its initial velocity
Medium
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>
If R
$=$
radius of the earth and g
$=$
acceleration due to gravity on the surface of the earth, the acceleration due to gravity at a distance (r
A
$r$
B
$r_{2}$
C
$r_{−2}$
D
$r_{−1}$
Medium
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>
A man covers
$60m$
distance in one minute on the surface of earth. The distance he will cover on the surface of moon in one minute is
$(g_{m}=6g_{e} )$
A
$60m$
B
$60X6m$
C
$660 m$
D
$60 m$
Medium
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>
The depth at which the value of
$g$
becomes
$25%$
of that at the surface of the earth.
$($
Radius of the earth
$=$
6400km.
$)$
A
4800 km
B
2400 km
C
3600 km
D
1200 km
Medium
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>
A body has weight (W) on the ground. The work which must be done to lift it to a height equal to the radius of the earth, R, is
A
equal to W
$×$
R
B
greater than W
$×$
R
C
less than W
$×$
R
D
Cannot be determined
Medium
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>
The ratio of the radius of a planet A to that of planet B is
$r$
. The ratio of accelerations due to gravity for the two planets is
$x$
. The ratio of the escape velocities from the two planets is :
A
$rx $
B
$xr $
C
$r $
D
$rx $
Medium
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>
The ratio of acceleration due to gravity at a depth
$h$
below the surface of earth and at a height
$h$
above the surface for
$h<<R$
A
is constant.
B
increases linearly with h.
C
varies parabolically with h.
D
decreases.
Medium
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>
Consider Earth to be a homogeneous sphere. Scientist A goes deep down in a mine and scientist B goes high up in a balloon. The gravitational field measured by
A
A goes on decreasing and that of B goes on increasing
B
B goes on decreasing and that of A goes on increasing
C
each decreases at the same rate
D
each decreases at different rates
Medium
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>