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Two bulbs consume same power when operat...

Two bulbs consume same power when operated at 200 V and 300 V, respectively. When these bulbs are connected in series across a DC source of 500 V, then

A

ratio of potential difference across them is `3//2`

B

ratio of potential difference across them is `4//9`

C

ratio of power produced in them is `2 // 3`

D

ratio of power produced in them is `4/9

Text Solution

Verified by Experts

The correct Answer is:
B
`P = (V^(2))/( R) or R = (V^(2))/( p) or R prop V^(2)`,
i.e., `(R_(1))/(R_(2)) = ((200)/(300))^(2) = (4)/(9)`
when connected in series , potential drops is in the ratio of their resistances . So,
`(V_(1))/(V_(2)) = (R_(1))/(R_(2)) = (4)/(9)`
Now, `P = I^(2) R`
or `P prop R ( "in series I is the same" )`
or `(P_(1))/(P_(2)) = (R_(1))/(R_(2)) = ( 4) /( 9)`
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