6.Three wires of same material having lengths in ratioof 2 : 3:4 and mass in ratio 3 : 4 : 5 areconnected in parallel combination across a V voltsupply, then the ratio of current flowing throughthem is(1) 75:64: 54(2) 108 : 64:45(3) 80 : 135: 192(4) 54 : 64 : 75
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Answer:
→ choose answer (2) 108 : 64:45
Explanation:
R1 :R2:r3 = L1/A1 : L2/A2 : L3/A3 = L1²/A1L1 : L2²/A2L2 : L3²/A3L3 = 2²/3 : 3²/4 : 4²/5 = 4/3 : 9/4 : 16/5 = 80 : 135 :192
i1 : i2 : i3 = 1/R1 : 1/R2 : 1/R3 = 1/80 : 1/135 : 1/192
i1 : i2 : i3 = 9 : 16/3 : 15/4 = 108 : 64 : 45
→ choose answer (2) 108 : 64:45
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