A smooth block is released from rest on a 45º incline and then slides a distance d. The time taken to slide is n times as much to slide on rough incline than on a smooth incline. The coefficient of friction is-
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
C
When fiction is absent
a 1 = g sin θ
∴ s 1 = 
........ (i)
When friction is present
a 2 = g sin θ – μ g cos θ
∴ s 2 = 
a 2 t 2 2 ........ (ii)
From Eq. (i) and (ii)
or 
= a 2 (nt 1 ) 2 ( ∴ t 2 = nt 1 )
or a 1 = n 2 a 2
or 
or 
or 1 – μ k = 
or μ k = 1 – 
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