1.

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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