Questions

Two simple pendulums whose lengths are 100 cm and 121 cm are suspended side by side. Their bobs are pulled together and then released. After how many minimum oscillations of the longer pendulum, will the two be in phase again

a

11

b

10

c

21

d

20

detailed solution

Correct option is B

Let T1 and T2 are the time period of the two pendulums T1=2π100g and T2=2π121g (T1

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A simple pendulum has time period T_{1}. The point of suspension is now moved upward according to equation $\mathrm{y}={\mathrm{kt}}^{2}$ where $\mathrm{k}=1\text{\hspace{0.17em}}\mathrm{m}/{\mathrm{sec}}^{2}$. If new time period is T_{2} then ratio $\frac{{\mathrm{T}}_{1}^{2}}{{\mathrm{T}}_{2}^{2}}$ will be

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