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Q.

Two heavy bodies of mass ‘m’ and ‘3m’ tied together with a light string of mass density μ are dropped from a helicopter as shown. A constant air friction force ‘F’ acts on both of them. If the length of the string is l. Determine the time taken by a pulse to go from top to bottom of the string : (acceleration due to gravity = g)

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a

lμF

b

l2μF

c

l4μF+4mg

d

lμ2F+4mg

answer is B.

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Detailed Solution

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3mgT+F=3mg  T+mgF=ma  3mgTF=3T+3mg  3F

2F=4TT=F2v=Tμ=F2μ  t=lv=l2μF

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