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Assertion (A): Two table tennis balls hang parallelly maintaining asmall gap between them. If air is blown into the gap between the balls,the balls will move apart. 
Reason (R): Bernoulli's theorem is applicable in this case.
  • a)
    Both A and R are individually true and R is the correct explanation of A
  • b)
    Both A and R are individually true but R is not the correct explanation of A
  • c)
    A is true but R is false
  • d)
    A is false but R is true
Correct answer is option 'C'. Can you explain this answer?
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Assertion (A): Two table tennis balls hang parallelly maintaining a small gap between them. If air is blown into the gap between the balls, the balls will move apart.

Reason (R): Bernoulli's theorem is applicable in this case.

The correct answer is option 'C' - Assertion (A) is true but Reason (R) is false.

Explanation:

Assertion (A): Two table tennis balls hang parallelly maintaining a small gap between them. If air is blown into the gap between the balls, the balls will move apart.

When two table tennis balls hang parallelly with a small gap between them, they are in a state of equilibrium. This means that the forces acting on the balls are balanced, and there is no net force causing them to move apart or come closer.

When air is blown into the gap between the balls, it creates a flow of air that exerts a force on the balls. This force is perpendicular to the surface of the balls and can be decomposed into two components - one component parallel to the surface (lift force) and another component perpendicular to the surface (drag force).

The lift force is generated due to the pressure difference between the upper and lower surfaces of the balls. According to Bernoulli's principle, as the air flows between the balls, its speed increases, and the pressure decreases. This pressure difference creates a lift force that acts in the direction perpendicular to the surface of the balls.

Reason (R): Bernoulli's theorem is applicable in this case.

Bernoulli's theorem states that in a steady flow of an inviscid and incompressible fluid, the sum of pressure energy, kinetic energy, and potential energy per unit volume is constant. It is applicable to the flow of fluids, such as air, and can be used to explain various phenomena, including the lift force generated by the flow of air over an object.

However, in the case of two hanging table tennis balls, Bernoulli's theorem alone is not sufficient to explain the motion of the balls when air is blown into the gap between them. The movement of the balls is influenced by various factors, including the lift force, drag force, and the initial state of equilibrium.

Therefore, while Assertion (A) is true, Reason (R) is false as Bernoulli's theorem alone does not provide a complete explanation for the observed motion of the balls.
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Assertion (A): Two table tennis balls hang parallelly maintaining asmall gap between them. If air is blown into the gap between the balls,the balls will move apart.Reason (R): Bernoulli's theorem is applicable in this case.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer?
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