A piece of iron sinks to the bottom of a lake where the pressure is 21 times wha

Question

A piece of iron sinks to the bottom of a lake where the pressure is 21 times what it is at the surface. Which statement best describes what happens to the density of that piece of iron?

I understand the density increases becaue it sinks but I am not sure which to pick with the given answers:

There has been no change in the density of the iron.

Its density increases slightly.

Its density decreases slightly.

Its density becomes 1/21 what it was at the surface.

Its density becomes 21 times greater than what it was at the surface.

Explanation / Answer

Here ,

at the bottom , the pressure at the bottom is 21 times of the pressure at the surface ,

Now, for iron ,

Young modulus , Y = 2.19 *10^11 N/m^2

as Young modulus is very large ,

raising pressure by 21 times will only decreases the volume slightly,

hence , the desnity also increases slightly

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