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Question

Which quantity decreases when a solid object is immersed in water?

The correct answer is
Apparent weight

Understanding Object Properties During Water Immersion

When a solid object is immersed in water, several physical quantities are affected. Let's analyze each option:

  • Mass: Mass is the amount of matter in an object. It is an intrinsic property and does not change regardless of whether the object is in air or immersed in water.
  • Density: Density is defined as mass per unit volume ($\rho = \frac{m}{V}$). The object's own mass and volume do not change upon immersion, so its density remains constant.
  • Buoyant Force: According to Archimedes' principle, an immersed object experiences an upward buoyant force equal to the weight of the fluid it displaces ($F_B = \rho_{fluid} \times V_{displaced} \times g$). This force exists *because* the object is immersed; it doesn't decrease.
  • Apparent Weight: This is the weight of the object as it seems to be when measured in a fluid. It is calculated as the object's actual weight in air minus the buoyant force acting on it. The formula is:

    $W_{apparent} = W_{actual} - F_B$

    Since the buoyant force ($F_B$) is positive when the object is immersed in water, the apparent weight ($W_{apparent}$) will always be less than the actual weight ($W_{actual}$). Therefore, the apparent weight decreases.

Conclusion on Decreasing Quantity

Based on the analysis, the apparent weight is the quantity that decreases when a solid object is immersed in water due to the upward push from the buoyant force.

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Important Questions from Common forces in mechanics

  1. Which of the following is NOT true about Frictional force?

    A. Friction is the force which opposes the relative motion of two surfaces in contact.

    B. The force of friction that acts when a body is moving (sliding) on a surface is called sliding friction.

    C. Friction in machines wastes energy and also causes wear and tear.

    D. Rolling friction is much more than sliding friction, the use of ball bearings in a machine considerably reduces friction.

  2. Which of the following is a wrong example of friction?

  3. Which one of the following statements about friction is incorrect?

  4. An electric lift with a maximum load of $2000\text{ kg}$ (lift + passengers) starts from rest and accelerates upwards at $0.2\text{ ms}^{-2}$. The frictional force opposing the motion is $3000\text{ N}$. The instantaneous power delivered by the motor when the lift reaches a speed of $1.5\text{ ms}^{-1}$ is:
    (Assume $g = 10\text{ ms}^{-2}$)
  5. When a wheel is rolling on a level road, the direction of frictional force between the wheel and road is in:

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