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Standard XII

Physics

Spring Force

The figure sh...

Question

The figure shows arrangements of springs. They have stiffness $k_{1}$ and $k_{2}$ as marked. Which of the following arrangements offers a stifness = $\frac{2 k_{1} k_{2}}{k_{1} + 2 k_{2}} ?$

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Solution

The correct option is D
$\frac{1}{k} = \frac{1}{k_{1}} + \frac{1}{2 k_{2}}$
$k = \frac{2 k_{1} k_{2}}{k_{1} + 2 k_{2}} (series arragement)$

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The figure shows arrangements of springs. They have stiffness k1 and k2 as marked. Which of the following arrangements offers a stifness = 2k1k2k1+2k2?

The correct option is D 1k=1k1+12k2 k=2k1k2k1+2k2 (series arragement)

The figure shows arrangements of springs. They have stiffness $k_{1}$ and $k_{2}$ as marked. Which of the following arrangements offers a stifness = $\frac{2 k_{1} k_{2}}{k_{1} + 2 k_{2}} ?$

The correct option is D
$\frac{1}{k} = \frac{1}{k_{1}} + \frac{1}{2 k_{2}}$
$k = \frac{2 k_{1} k_{2}}{k_{1} + 2 k_{2}} (series arragement)$