B. If this experiment is repeated at a place 10 kilometers above the sea-level, the acceleration due to gravity g (exp) is expected to:
c) remain constant.
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Acceleration is always constant for any height or depth (h << 6400)
When h has an appreciable magnitude, it always decreases, g is never greater then 9.8 at a height or at a depth.
Freely falling bodies experiment ... So acceleration is constant right ???
the full equation for gravitation force on an object close to earth is
F - GMm/r^2
if you take r = radius of earth (i.e. the body is on the earth's surface then we normally simplify this to
F = mg (so g= GM/r^2)
Now - the radius of the earth is approx. 6.4x10^6 m
so for all experiments close to the earth we normally consider g to be essentially constant.
in your question you increase r to r+10^4m
so you can see that the force of gravity will decrease (1/r^2)
However the increase in radius is still very small compared to the radius - so the effect will be very small.