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Q. A \(5000 \mathrm{~kg}\) rocket is set for vertical firing. The exhaust speed is \(800 \mathrm{~m} / \mathrm{s}\). To give an initial upward acceleration of \(20 \mathrm{~m} / \mathrm{s}^{2}\), the amount of gas ejected per second to supply the needed thrust will be \(\left(\right.\) Take \(\left.\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

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Q. A hollow metal sphere of radius \(5 \mathrm{~cm}\) is charged such that the potential on its surface is \(10 \mathrm{~V}\). The potential at the centre of the sphere is.

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Q. A body, constrained to move in y-direction, is subjected to a force given by \(\vec{F}=(-2 \hat{i}+15 \hat{j}+6 \hat{k}) \mathrm{N}\) The work done by this force in moving the body through a distance of \(10 \hat{j} \mathrm{~m}\) along \(\mathrm{y}\)-axis, is

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