SATHEE: Current Electricity 5 Question 10

Current Electricity 5 Question 10

10. Incandescent bulbs are designed by keeping in mind that the resistance of their filament increases with the increase in temperature. If at room temperature, $100 W, 60 W$ and $40 W$ bulbs have filament resistances $R_{100}, R_{60}$ and $R_{40}$ , respectively, the relation between these resistances is (2010)

(a) $\frac{1}{R_{100}} = \frac{1}{R_{40}} + \frac{1}{R_{60}}$

(b) $R_{100} = R_{40} + R_{60}$

(c) $R_{100} > R_{60} > R_{40}$

(d) $\frac{1}{R_{100}} > \frac{1}{R_{60}} > \frac{1}{R_{40}}$

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Solution:

$R = \frac{V^{2}}{P}$ or $R \propto \frac{1}{P}$

$∴ \frac{1}{R_{100}} > \frac{1}{R_{60}} > \frac{1}{R_{40}}$

Hence, the correct option is (d).

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Current Electricity 5 Question 10

10. Incandescent bulbs are designed by keeping in mind that the resistance of their filament increases with the increase in temperature. If at room temperature, 100W,60W and 40W bulbs have filament resistances R100,R60 and R40, respectively, the relation between these resistances is (2010)

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