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Two parallel plate capacitors with area A are connected through a conducting spring of natural length 1 in series as shown. Plates P and save fixed positions at separation d . Now the plates are connected by a battery of emf xi as shown. If the extension in the spring in equilibrium is equal to the separation between the plates, find the spring constant k . .

The question below consists of a set of labelled sentences. These sentences, when properly sequenced form a coherent paragraph. Select the most logical order of sentences from among the options. P: As a result, people end up saving a considerable amount of money while also saving the planet. Q: Recycling your waste makes you more responsible in the way you use and dispose of it. R: It is evident from studies that people who do this instinctively cut down on buying unwanted things from the supermarket. S: They think of how to dispose of the packaging or the product after use before even buying it.

A coil of inductance L=50muH and resistance = 0.5Omega is connected to a battery of emf = 5V. A resistance of 10Omega is connected parallel to the coil. Now, at the same instant the connection of the battery is switched off. Then, the amount of heat generated in the coil after switching off the battery is