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A spring balance and a physical balance ...

A spring balance and a physical balance are kept in a lift. In these balance equal masses are placed. If now the lift starts moving upward with constant acceleration, then.

A

Readings of A and B will be different at both the places

B

Readings of A will be different but those of B will be same at both the places

C

Readings of A will be same but those of B will be different at both the places

D

Readings of both A and B are same at both the places

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the behavior of both the spring balance and the physical balance when the lift is accelerating upward with a constant acceleration. ### Step-by-Step Solution: 1. **Understanding the Scenario**: - We have two types of balances: a spring balance and a physical balance, both placed in a lift. - Equal masses (m) are placed on both balances. 2. **For the Spring Balance**: - When the lift accelerates upward with an acceleration \( a \), the effective weight acting on the mass in the spring balance changes. - The gravitational force acting on the mass is \( mg \) (where \( g \) is the acceleration due to gravity). - Additionally, there is a pseudo force acting downward due to the lift's acceleration, which is \( ma \). - Therefore, the total force acting on the mass in the spring balance is: \[ T = mg + ma = m(g + a) \] - This means the reading on the spring balance will increase because the tension in the spring is greater than just the weight of the mass. 3. **For the Physical Balance**: - The physical balance measures mass by comparing the weights on both pans. - When the lift accelerates upward, both pans experience the same upward acceleration, and thus the pseudo forces acting on both sides cancel each other out. - The effective weight on both sides remains \( mg \) because the pseudo forces do not affect the balance between the two sides. - Therefore, the reading on the physical balance remains unchanged. 4. **Conclusion**: - The reading on the spring balance will increase due to the upward acceleration of the lift. - The reading on the physical balance will remain the same. - Thus, the readings of the two balances will be different when the lift accelerates upward. ### Final Answer: - The reading of the spring balance (A) will be greater than the reading of the physical balance (B).
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