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A 100 W bulb B1, and two 60 W bulb B2 an...

A 100 W bulb `B_1`, and two 60 W bulb `B_2` and `B_3`, are connected to a 250 V source, as shown in figure. Now `W_1, W_2 and W_3` are the output powers of the bulbs `B_1, B_2 and B_3`, respectively. Then

A

`W_1gtW_2=W_3`

B

`W_1gtW_2gtW_3`

C

`W_1ltW_2=W_3`

D

`W_1ltW_2ltW_3`

Text Solution

Verified by Experts

The correct Answer is:
D

d. We know that `R= V^2/rho`
`:. R_1 = V^2/100, R_2 = V^2/60 = R_3`
`W_1 = (V_(1)^(2))/(R_1) = (V^2R_1)/(R_1+R_2)W_2 = V_(2)^(2)/R_2, W_2 = V_(2)^(2)/R_2`
`W_3:W_2:W_1 : (250)^2/R_3 : (250)^2/(R_1+R_2)^2 R_2 (250)/(R_1+R_2)^2 R_1`
`=60:((250)^2V^2//60)/(V^2/100+V^2/60) : ((250)^2V^2//100)/(V^2/100+V^2/60)`
`=60:25:15`
Hence, `W_3gtW_2gtW_1`.
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