A body takes n times as much time to slide down a ` 45^@ ` rough incline as it takes to slide down a smooth ` 45^@ ` incline. The coefficient of frict
A body takes n times as much time to slide down a ` 45^@ ` rough incline as it takes to slide down a smooth ` 45^@ ` incline. The coefficient of friction between the body and the incline will be
A. ` ( 1 )/ (1 - n^ 2 ) `
B. ` 1- ( 1 )/( n^ 2 ) `
C. `sqrt( ( 1 )/ ( 1 - n^ 2 )) `
D. `sqrt ( 1 - ( 1 ) /( n^ 2 )) `
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Correct Answer - B
The coefficient of friction ,
`mu = tan theta ( 1 - ( 1 ) /( n ^ 2 ) ) `
Here, ` theta = 45 ^ @`
` therefore mu= tan 45 ^@ ( 1 - ( 1 )/( n^ 2 )) = 1 - ( 1 )/( n^ 2 ) `
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