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Three electric bulbs with same voltage r...

Three electric bulbs with same voltage ratings of 110 volts but wattage ratings of 40, 60 and 100 watts respectively are connected in series across a 220 volt supply line. If their brightness are , `B_(1), B_(2), B_(3)` respectively, then-

A

`B_(1) gt B_(2) gt B_(3)`

B

`B_(1) gt B_(2) lt B_(3)`

C

`B_(1) = B_(2) = B_(3)`

D

Bulbs will burn out due to the high voltage supply

Text Solution

Verified by Experts

The correct Answer is:
A
`R = V_("Rated")^(2)/P_("Rated") rArr R prop 1/P`
`R_(40) gt R_(60) gt R_(100)`
Heat `=I^(2)Rt`
In series, current is same,
`H prop R, H_(40) gt H_(60) gt H_(100) rArr B_(1) gt B_(2) gt B_(3)`
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