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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 of zero. A block of mass M and density `rho` is suspended by a masselss 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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Consider the diagram
The scale is adjusted to zero, therefore, when the block suspended to a spring in immersed in water, then the reading of the scale will be equal to the thrust on the block due to water . Thrust =weight of water displaced
`=Vrho_(w)g` (where V is volume of the block and `rho_(w)` is density of water)
`(m)/(rho)rho_(w)g=((rho_(w))/(rho))mg`
`" "`(`because` Density of the block `rho=("mass")/("volume")=(m)/(V)`)
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