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Q.

A wheel takes m rotations to travel a certain distance while another wheel whose diameter is four times bigger than it takes n rotations to travel the same distance. The relation between m and n is

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a

m=4n

b

4m=n

c

2m=n

d

m=2n

answer is B.

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Detailed Solution

First wheel radius =r

One rotation is 2πr

m rotations to travel the distance (d1)=m(2πr)

2nd wheel radius (2r1)=4r⇒r1=2r

n rotations (d2)=n(2π(2r))=4nπr

d1=d2

2mπr=4nπr

m=2n

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