Sarthaks Test
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A vessel filled with water is kept on a weighing pan and the scale adjusted to zer A block of mass M and density ρ is suspended by a massless spring of spring constant k. This block is submerged inside into the water in the vessel. What is the reading of the scale?

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Let x be the compression on the spring. As the block is in equilibrium Mg – (kx + rwVg) = 0 where rw is the density of water and V is the volume of the block. The reading in the pan is the force applied by the water on the pan i.e.,

mvessel + mwater + rwVg

Since the scale has been adjusted to zero without the block, the new reading is rwVg.

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