Question

Please answer this question

If R1 and R2 be the resistance of the filament of 40W and 60W respectively operating 220V, then

a. R1 < R2
b. R2 < R1
c. R1 = R2
d. R1 _> R2​

Answer 1

Answer

Your answer will be R1>R2

Answer 2

Answer:

The correct answer is option (b)i.e.R₂<R₁.

Explanation:

The power of the circuit is given as,

$P=\frac{V^2}{R}$            (1)

Where,

P=power of the circuit

V=voltage across the circuit

R=resistance in the circuit

From the question we have,

P₁=40W

P₂=60W

V=220V

As we can see that the voltage is constant for both the filament. So, equation (1) becomes,

$P\propto\frac{1}{R}$        (2)

From the equation to we get to know that the filament having higher power will have low resistance and vice-versa.

So,

$P_1 < P_2$

∴$R_1 > R_2$

Hence, the correct answer is option (b)i.e.R₂<R₁.