Current Electricity Charging Discharging Of Capacitors Question 442

Question: Two electric bulbs whose resistances are in the ratio of 1 : 2 are connected in series. The powers dissipated in them have the ratio

[NCERT 1977]

Options:

A) 1 : 2

B) 2 : 1

C) 1 : 1

D) 1 : 4

Show Answer

Answer:

Correct Answer: A

Solution:

In series, current is same in both the bulbs, hence $ P\propto R,(P=i^{2}R) $
$ \

Therefore \frac{P _{1}}{P _{2}}=\frac{R _{1}}{R _{2}}=\frac{1}{2} $