Two bodies are in equilibrium when suspended in water from the arms of balance. The mass of one body is 36 g and its density is `9 g// cm^3` If the mass of the other is 46 g, its density in `g//cm^3` is

Options

A. `4/3`
B. `3/2`
C. 3
D. 5

Answer

C

Explanation

Apparent weight (W) = `V(rho-sigma)g=m/rho (rho-sigma)g`
Now, `(m_1)/(rho_1)(rho_1-sigma)=(m_2)/(rho_2)(rho_2-sigma)`
`implies (36)/(9)(9-1)=(48)/(rho_2)(rho_2-1)`
`implies 32 rho_2=48 rho_2-48`
`implies rho_2=3`