A monkey of mass 20 kg is holding a vertic

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A monkey of mass $20\,kg$ is holding a vertical rope. The rope will not break when a mass of $25\, kg$ is suspended from it but will break if the mass exceeds $25 \,kg$. What is the maximum acceleration with which the monkey can climb up along the rope ............ $m/{s^2}$ $(g = 10\,m/{s^2})$

A

$10$

B

$25$

C

$2.5$

D

$5$

A monkey of mass $20\,kg$ is holding a vertical rope. The rope will not break when a mass of $25\, kg$ is suspended from it but will break if the mass exceeds $25 \,kg$. What is the maximum acceleration with which the monkey can climb up along the rope ............ $m/{s^2}$ $(g = 10\,m/{s^2})$

Tension the string $ = m\,(g + a)=$ Breaking force

$⇒$  $20(g + a) = 25 \times g$

$⇒$ $a = g/4 = 2.5\;m/{s^2}$