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When a body slides down from rest along a smooth inclined plane making an angle of 30 with the horizontal, it takes time 20s. When the same body slides down from rest along a rough inclined plane making the same angle and through the same distance, it takes time 20p s, where p is some number greater than 1. The coefficient of friction between the body and the rough plane is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
When a body slides down from rest along a smooth inclined plane making...
The acceleration of the body sliding down smooth inclined plane is
a = gsinθ …(i)
The acceleration of the same body sliding down a rough inclined plane is
a′ = gsinθ − μgcosθ
= g (sinθ−μcosθ) ...(ii)
As the body slides a distance d in each case,
∴  (∵ u = 0)
∴  (∵ t′ = 20ps,t=20s)  
  (Using (i) and (ii))
sinθ = p2sinθ − μp2 cosθ; μp2 cosθ
= p2sinθ − sinθ
Here, θ=30∘ ∴ μ = 
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When a body slides down from rest along a smooth inclined plane making an angle of 30 with the horizontal, it takes time 20s. When the same body slides down from rest along a rough inclined plane making the same angle and through the same distance, it takes time 20p s, where p is some number greater than 1. The coefficient of friction between the body and the rough plane isa)b)c)d)Correct answer is option 'A'. Can you explain this answer?
Question Description
When a body slides down from rest along a smooth inclined plane making an angle of 30 with the horizontal, it takes time 20s. When the same body slides down from rest along a rough inclined plane making the same angle and through the same distance, it takes time 20p s, where p is some number greater than 1. The coefficient of friction between the body and the rough plane isa)b)c)d)Correct answer is option 'A'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about When a body slides down from rest along a smooth inclined plane making an angle of 30 with the horizontal, it takes time 20s. When the same body slides down from rest along a rough inclined plane making the same angle and through the same distance, it takes time 20p s, where p is some number greater than 1. The coefficient of friction between the body and the rough plane isa)b)c)d)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When a body slides down from rest along a smooth inclined plane making an angle of 30 with the horizontal, it takes time 20s. When the same body slides down from rest along a rough inclined plane making the same angle and through the same distance, it takes time 20p s, where p is some number greater than 1. The coefficient of friction between the body and the rough plane isa)b)c)d)Correct answer is option 'A'. Can you explain this answer?.
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