Concept:A spring balance measures weight (force), not mass directly.
Its reading depends on the local acceleration due to gravity
g.
The extension of the spring is proportional to
mg (Hooke's law).
Thus the reading is accurate only when
g is the same as at the calibration location.
Explanation:The spring balance works by Hooke's law:
F=−kx, where
F=mg.
So the extension
x∝mg. The scale is originally marked assuming a specific
g value.
At a different location with a different
g, the same mass gives a different extension.
Hence the reading is correct only where
g matches the calibration value.
Option A is incorrect because it implies the reading is correct only at the exact calibration place, but it would be correct at any place with the same
g.
Option B is false because
g varies with altitude and latitude.
Option D is false because a spring balance can measure mass if the local
g is known and accounted for.
Only option C correctly states the condition for accurate mass measurement.
Answer:Option C