Which has higher resistance - a 50W bulb or a 2.5W bulb and how many times
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Answer:
Given two bulbs.
POWER OF FIRST BULB=P1=50W
POWER OF SECOND BULB=P2=25 W
If same voltage V is used for two bulbs.
Then,
P=V^2/R
We can see that POWER is inversely proportional to RESISTANCE.
A bulb with more power will have less RESISTANCE.
So, bulb with 25W will offer more RESISTANCE.
R1=V^2/P1
R2=V^2/P2
R1/R2= P2/P1
R1/R2=25/50=1/2
R12=2R1
THEREFORE , SECOND BULB WITH POWER 25W WILL OFFER MORE ( DOUBLE) RESISTANCE THAN FIRST BULB.
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