Home
Class 9
PHYSICS
A solid of density rho has weight W. Sho...

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)`.

Text Solution

AI Generated Solution

To show that the apparent weight of a solid of density \( \rho \) and weight \( W \) when completely immersed in a liquid of density \( \rho_L \) is given by the formula \( W[1 - \frac{\rho_L}{\rho}] \), we can follow these steps: ### Step 1: Understand the Definitions - **Weight of the solid in air**: The weight \( W \) of the solid is given. - **Density of the solid**: Let the density of the solid be \( \rho \). - **Density of the liquid**: Let the density of the liquid be \( \rho_L \). ### Step 2: Calculate the Volume of the Solid ...
Promotional Banner

Topper's Solved these Questions

  • UPTHRUST IN FLUIDS, ARCHIMEDES' PRINCIPLE AND FLOATATION

    ICSE|Exercise EXERCISE 5(A)|28 Videos
  • UPTHRUST IN FLUIDS, ARCHIMEDES' PRINCIPLE AND FLOATATION

    ICSE|Exercise EXERCISE 5(A) (Multiple Choice Question)|3 Videos
  • SOUND

    ICSE|Exercise TOPIC 2 Infrasonic and Ultrasonic Waves ( 3 Marks Questions) |3 Videos

Similar Questions

Explore conceptually related problems

A body of weight W is floating in a liquid. Its apparent weight will be :

An object of w and density rho is submerged in liquid of density sigma , its apparent weight will be

The pressure inside a liquid of density rho at a depth h is :

A piece of steel has a weight w in air, w_(1) when completely immersed in water and w_(2) when completely immersed in an unknown liquid. The relative density (specific gravity) of liquid is

A piece of steel has a weight w in air, w_(1) when completely immersed in water and w_(2) when completely immersed in an unknown liquid. The relative density (specific gravity) of liquid is

A body floats in a liquid A of density rho_(1) with a part of it submerged inside liquid while in liquid B of density rho_(2) totally submerged inside liquid. The densities rho_(1) and rho_(2) are related as :

A composite rod whose upper half has a density (rho)/(4) and lower half has a density of (3rho)/(2) is immersed vertically in a liquid of density rho . To what length it shoul be immeresed so that centre of buoyancy coincides with centr of mass of the rod ? suppose the length is (x l)/(14) Find x .

A body of density rho floats with volume V_(1) of its total volume V immersed in a liquid of density rho_(1) and with the remainder of volume V_(2) immersed in another liquid of density rho_(2) where rho_(1)gtrho_(2) . Find the volume immersed in two liquids. ( V_(1) and V_(2) ).

A ball of density rho is released from deep inside of a liquid of density 2 rho . It will move up

A cylindrical rod of length l=2m & density (rho)/(2) floats vertically in a liquid of density rho as shown in figure. Show that it performs SHM when pulled slightly up & released find its time period. Neglect change in liquid level.