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Question

A 13N weight and 12N weight are connected by a massless string over a massless, frictionless pulley.The 13N weight has a downward acceleration with magnitude equal to that of a freely falling body, times.

A
1
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B
1/12
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C
1/13
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D
1/25
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Solution

The correct option is D 1/25
Letdownwardaccelerationof13Nweight=athendownwardacclerationof12Nweight=aLetT=tensioninthestringfor13Nweigh,13T=13g×a(1)for12Nweight,T12=(12g)×a(2)adding(1)and(2),1=25g×aor,125=agor,a=(125)×gSo,125times
Hence,
option (D) is correct answer.

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