Current Electricity Charging Discharging Of Capacitors Question 530

Question: An electric kettle has two heating coils. When one coil is used, water in the kettle boils in 5 minutes, while when second coil is used, same water boils in 10 minutes. If the two coils, connected in parallel are used simultaneously, the same water will boil in time

[MP PET 2001]

Options:

A) 3 min 20 sec

B) 5 min

C) 7 min 30 sec

D) 2 min 30 sec

Show Answer

Answer:

Correct Answer: A

Solution:

In parallel $ \frac{1}{t _{p}}=\frac{1}{t _{1}}+\frac{1}{t _{2}} $

Therefore $ t _{p}=\frac{t _{1}t _{2}}{t _{1}+t _{2}} $

$ =\frac{5\times 10}{5+10}=\frac{50}{15}=3.33,\min $

$ =3,min.,20,sec $