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State which has a higher resistance .A 50 Watt or a  25 Watt lamp .Also find the ratio of their resistances. 
Asked by riyamaths | 01 Jun, 2018, 09:22: AM
answered-by-expert Expert Answer
Let us assume that Potential difference applied across the two lamps is same. 
The relation between power and resistance is given by,
P= V2/R
Thus, from this we can say that power is inversely proportional to resistance.
So more the power, less is the resistance.
Thus,
For lamp with power 50 Watt resistance is less than that with lamp 25 Watt.
Consider the resistance of bulb with power 25 W as R1 and that of bulb with power 50 W be R2  .
As the voltage is constant we can take the ratio of the power of bulb as follows,
 
P subscript 1 over P subscript 2 equals R subscript 2 over R subscript 1 25 over 50 equals fraction numerator begin display style R subscript 2 end style over denominator begin display style R subscript 1 end style end fraction R subscript 1 equals space 2 R subscript 2
 
Answered by Shiwani Sawant | 05 Jun, 2018, 10:16: AM

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