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thank you @mike stone , yess i messed up my question put my question was : to find whether solenoid expands radially or not. i did some working and posted the picture for same. thanks a lot
thats right but i am taking temp. to be same .. as @alephzero said this is the reason given in my textbooks . so according to this more dense less speed and vice versa(indirectly related) ,.. so why is this not applicable in solids. solids are significantly denser than gas but velocity in solids travel faster (directly related since more density more speed of sound) i am confused