If a person with a spring balance and a body hanging from it goes up and up in an aeroplane, then the reading of the weight of the body as indicated by the spring balance, willa)Go an increasingb)Go on decreasingc)First increase and then decreased)Remain the sameCorrect answer is option 'C'. Can you explain this answer?

Question

Answer

Correct answer is b  as the g decreases as we go up

Answer

Explanation:
When a person with a spring balance and a body hanging from it goes up in an aeroplane, there are two main factors that affect the reading of the weight indicated by the spring balance: the gravitational force and the acceleration due to the aeroplane's motion.

Gravitational Force:
The weight of an object is determined by the gravitational force acting on it. As the person and the body are taken up in the aeroplane, the distance between them and the Earth's center increases. However, the gravitational force decreases with increasing distance. Therefore, the gravitational force on the body decreases as it goes higher in the aeroplane.

Acceleration due to Motion:
When the aeroplane takes off, it accelerates upwards. This acceleration creates an additional force on the body, which adds to the weight measured by the spring balance. As the aeroplane continues to ascend, this acceleration decreases and eventually becomes zero when the aeroplane reaches a steady cruising altitude. At this point, the acceleration due to the aeroplane's motion is no longer affecting the reading of the spring balance.

Combined Effect:
Initially, as the person and the body go up in the aeroplane, the gravitational force decreases. However, the acceleration due to the aeroplane's motion adds to the weight indicated by the spring balance, resulting in an increase in the reading. As the aeroplane reaches a steady cruising altitude, the acceleration due to motion becomes zero, and only the decrease in gravitational force continues to affect the reading. Thus, the reading of the weight first increases and then decreases.

Therefore, the correct answer is option 'C' - the weight of the body as indicated by the spring balance first increases and then decreases when a person with a spring balance and a body hanging from it goes up in an aeroplane.

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