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A vessel filled with water is kept on a ...

A vessel filled with water is kept on a weighing pan and the scale adjusted to zero .A block of mass M and density `rho` 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 ?

Text Solution

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Take a figure into consideration .
The scale is adjusted to zero .Therefore , when a block suspended to a spring is immersed in water , then the reading of the scale will be equal to the upthrust on the block due to water. Upthrust experienced by the block =weight of displaced water
`=(V)rho_(w)g " " ("V = volume of block")`
`=(m)/(rho)rho_(w)g " " (rho_(w)= " density of water")`
`=((rho_(w))/(rho))mg " " (rho="density of block")`
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