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Two equal masses each in are hung from a...

Two equal masses each in are hung from a balance whose scale pans differ in vertical height by `h`. The error in weighing in terms of density of the earth `rho` is

A

`πGρmh `

B

`1/3Gρmh`

C

`8/3πGρmh`

D

`4/3πGρmh `

Text Solution

AI Generated Solution

To solve the problem, we need to find the error in weighing two equal masses when they are hung from a balance with a height difference \( h \) between the scale pans. Here’s a step-by-step solution: ### Step 1: Understand the Weights Let the mass of each object be \( m \). The weight of the first mass at the surface of the Earth is given by: \[ W_1 = mg \] where \( g \) is the acceleration due to gravity at the surface. ...
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