Ri, R, and Rs are the filament resistance of
50 W, 100 W and 150 W bulbs, respectively.
If all three bulbs are designed to work at the
same voltage, then
a. Ri < R2 < R3
b. R3 < R2 < R1
C. Ri = R2 = R3
d. R1 > R2 < R3
Answers
Given : R₁ , R₂ and R₃ are the filament resistance of 50 W, 100 W and 150 W bulbs, respectively.
all three bulbs are designed to work at the same voltage
To find : Choose correct option
a. Ri < R2 < R3
b. R3 < R2 < R1
C. Ri = R2 = R3
d. R1 > R2 < R3
Solution:
P = power
V = voltage
R = Resistance
P = V²/R
As Voltage is same for all constant
Hence
P ∝ 1/R
More the power less the resistance
50 W < 100 W < 150 W
R₁ > R₂ > R₃
R₃ < R₂ < R₁
option B is correct
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