A small ball is suspended from a thread. It is lifted up with an acceleration 4.9 m/s2 and lowered with an acceleration 4.9 m/s2, then the ratio of tensions in the thread in both cases will be :

T1=m(g+a) and T2=m(g−a)⇒T1T2=g+ag−a=9.8+4.99.8−4.9=31

A small ball is suspended from a thread. It is lifted up with an acceleration 4.9 m/s2 and lowered with an acceleration 4.9 m/s2, then the ratio of tensions in the thread in both cases will be :

T1=m(g+a) and T2=m(g−a)⇒T1T2=g+ag−a=9.8+4.99.8−4.9=31

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A small ball is suspended from a thread. It is lifted up with an acceleration 4.9 m/s² and lowered with an acceleration 4.9 m/s², then the ratio of tensions in the thread in both cases will be :

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1:3

3:1

1:1

$1 : \sqrt{5}$

answer is B.

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$\begin{array}{l} T_{1} = m (g + a) and T_{2} = m (g - a) \\ \Rightarrow \frac{T_{1}}{T_{2}} = \frac{g + a}{g - a} = \frac{9 .8 + 4 .9}{9 .8 - 4 .9} = \frac{3}{1} \end{array}$

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A small ball is suspended from a thread. It is lifted up with an acceleration 4.9 m/s2 and lowered with an acceleration 4.9 m/s2, then the ratio of tensions in the thread in both cases will be :

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A small ball is suspended from a thread. It is lifted up with an acceleration 4.9 m/s² and lowered with an acceleration 4.9 m/s², then the ratio of tensions in the thread in both cases will be :