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Assertion (A): The 'dimples' on a golf ball are intentionally provided.
Reason (R): A turbulent boundary layer, since it has more momentumthan a laminar boundary layer, can better resist an adverse pressure gradient.  
  • 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 'A'. Can you explain this answer?
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Assertion (A): The 'dimples' on a golf ball are intentionally ...
Assertion (A): The dimples on a golf ball are intentionally provided.
Reason (R): A turbulent boundary layer, since it has more momentum than a laminar boundary layer, can better resist an adverse pressure gradient.

The correct answer is option 'A', which means that both the assertion and the reason are individually true, and the reason is the correct explanation of the assertion.

Explanation:
Golf balls have dimples on their surface, and these dimples are intentionally provided. The reason behind this is related to the aerodynamics of the ball during flight.

Aerodynamics of a Golf Ball:
When a golf ball is in flight, it experiences two main forces: lift and drag. Lift is the upward force that helps the ball stay in the air and enables it to achieve distance and accuracy. Drag is the resistance force that acts opposite to the direction of motion and tends to slow down the ball.

Boundary Layer:
The boundary layer is the thin layer of air that adheres to the surface of the golf ball as it moves through the air. This boundary layer can either be laminar or turbulent, depending on the flow conditions.

Affection of Boundary Layer and Dimples:
A smooth golf ball surface would have a laminar boundary layer, where the air flows smoothly over the surface. However, this leads to separation of the boundary layer at the rear of the ball, resulting in a larger wake and higher drag.

The presence of dimples on the golf ball surface disrupts the smooth flow of air. These dimples create a turbulent boundary layer, where the air flow becomes more energetic and chaotic. The turbulent boundary layer is able to better adhere to the surface of the ball and can resist adverse pressure gradients more effectively.

Effect on Lift and Drag:
The turbulent boundary layer created by the dimples reduces the drag on the golf ball. The disrupted flow helps in delaying the separation of the boundary layer, resulting in a smaller wake and reduced drag.

Additionally, the dimples also enhance the lift generated by the ball. The turbulent boundary layer helps in creating a thin layer of air that clings to the surface of the ball for a longer distance. This thin layer of air effectively follows the shape of the ball's upper surface, resulting in a pressure difference between the upper and lower surfaces and generating lift.

Conclusion:
The intentional provision of dimples on a golf ball surface helps in creating a turbulent boundary layer. This turbulent boundary layer enhances the lift and reduces the drag, resulting in improved flight characteristics and increased distance. Therefore, both the assertion and the reason are true, and the reason correctly explains the assertion.
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Assertion (A): The 'dimples' on a golf ball are intentionally provided.Reason (R): A turbulent boundary layer, since it has more momentumthan a laminar boundary layer, can better resist an adverse pressure gradient.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 'A'. Can you explain this answer?
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