What is the ratio P1/P2P1/P2 of their power dissipations if the same current passes through each resistor

This question is incomplete, the complete question  is;

Resistors 1 and 2 are connected to identical batteries, resistor 1 dissipates 4.0 times more power than resistor 2

What is the ratio P1/P2of their power dissipations if the same current passes through each resistor

the ratio P₁/P₂ of their power dissipations is 0.25

Explanation:

Given the data in the question;

= --------------let this be equation 1

= -----------------let this be equation 2

P₁ = V²/R₁

P₁ = 4P₂

so

P₁ = V²/R₁ = 4( V²/R² )

now, form the above equation;

R₁ = R₂/4

using equation 1, we get;

P₁ =  

P₂ =  

Hence;

P₁ =  ( R₂/4)

P₁ =   × ( R₂/4)

P₁ = (1/4) P₂ or 0.25

Therefore; the ratio P₁/P₂ of their power dissipations is 0.25

the displacement produced by the body.  

the amount of force subjected to the body.  

the angle between the direction of force and displacement