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A solid of density rho has weight W. Show that its apparent weight will be W[1-(rho_(L)//rho)] when it is completely immersed in a liquid of densilty rho_(L). |
Answer» Solution :Given WEIGHT SOLID =W `:.` Mass of solid `=W//g` Voluem of solid `=("Mass")/("Density")=(W//g)/(rho)` Volume of liquid displaced = Volume of solid `=(W//g)/(rho)` upthrust on solid = Volume of liquid displaced `xx` density of liquid `X` ACCELERATION due to gravity or UPTHURST `=((W//g)/(rho))xxrho_(L)xxg=W/(rho)xxrho_(L)` `:.` Apparent weight `=` True weight - upthurst `=W-(W/(rho)xxrho_(L))=W(1-(rho_(L))/(rho))` |
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