Question : The mass of a body measured by a physical balance in a lift at rest is found to be 'm'. If the lift is going up with acceleration 'a', its mass will be measured as:
Option 1: m(1-a/g)
Option 2: m(1+a/g)
Option 3: m
Option 4: zero
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Correct Answer: m(1+a/g)
Solution : The correct option is m(1+a/g) .
The body's measured mass will increase when the lift ascends with acceleration a.
This is due to the apparent weight gain, resulting from the acceleration. The measured mass will be m(1+a/g), where 'm' is the actual mass, 'a' is the lift's acceleration, and 'g' is the acceleration due to gravity. This effect is a consequence of the equivalence principle in general relativity.
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