Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Current Electricity

Question:

Fig. shows three similar lamps L1, L2 and L3 connected across a power supply.

If the lamp L3 fuse, how will the light emitted by L1 and L2 change ?

Options:

no change

brilliance of L1 decreases and that of L2 increases

brilliance of both L1 and L2 increases

brilliance of both L1 and L2 decreases

Correct Answer:

brilliance of L1 decreases and that of L2 increases

Explanation:

Let R be the resistance of each lamp. If E be the applied e.m.f., then the current in the circuit, I1, is given by

I1 = $\frac{E}{R+(R / 2)}=\frac{2 E}{3 R}$

Current flowing through L2 or L3 = $\frac{1}{2}\left[\frac{2 E}{3 R}\right]=\frac{E}{3 R}$

When L3 is fused, the whole current flows through L1 and L2.

Thus I2 = $\frac{E}{R+R}=\frac{E}{2 R}$

So, current through L1 decreases and through L2 increases. Hence option (b) is correct.