In the circuit diagram, heat produces in R, 2 R and 1.5 R are in the ratio of

Step-by-step solution

We have, l₁= I 2 R 3 R = 2 I 3 array ll & H₁=l₁² R= 4 l² 9 R...(i) Also, & I₂= I R 3 R = l 3 & H₂=I₂²(2 R)= l² 9 2 R...(ii) and & H₃=I²(1.5 R)...(iii) array From Eqs. (i), (ii) and (iii), aligned H₁: H₂: H₃ &= 4 l² 9 R: I² 9 2 R: I² 1.5 R &= 4 9 : 2 9 : 1.5=4: 2: 13.5 &=8: 4: 27 aligned