A light string passing over a smooth light pulley connects two blocks of masses m1 and m2 (vertically). If the acceleration of the blocks is g/8, then the ratio of the masses is:

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8 :1

9 : 7

4 : 3

5 : 3

answer is B.

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Detailed Solution

FBD of systemConsidering m2 > m1m2g−T=m2a… (i) T−m1g=m1a… (ii)a=m2−m1m1+m2g Given, a=g/8⇒g8=m2−m1m1+m2gm1+m2=8m2−m17m2=9m1m2m1=97

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