Question
Two masses ${m_1}$ and ${m_2}$ are attached to a string which passes over a frictionless smooth pulley. When ${m_1} = 10kg,$ ${m_2} = 6kg,\,$the acceleration of masses is .......... $m/s^{2}$



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The whole arrangement is in air. The optical power of the system is .......$D$

(Image)
$(A)$ $I_{\max }=\frac{V}{2 R}$ $(B)$ $I_{\max }=\frac{V}{4 R}$ $(C)$ $\tau=\frac{L}{R} \ln 2$ $(D)$ $\tau=\frac{2 \mathrm{~L}}{\mathrm{R}} \ln 2$
$(i)\,$ lifted up with an acceleration $4.9\,m/{s^2}$
$(ii) \,$lowered with an acceleration $4.9\,m/{s^2}$.
The ratio of the tensions is