A vessel filled with water is kept on a weighing pan and the scale adjusted to zero. 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?

This is a short answer type question as classified in NCERT Exemplar

Consider the diagram,

The scale is adjusted to zero, therefore, when the block suspended to a spring is 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

=V $\rho$ _wg (where V is volume of the block and $\rho$ _w is density of water)

= $\frac{m}{\rho }{\rho }_{w}g$ = $\frac{{\rho }_w}{\rho }mg$

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