Current Electricity Charging Discharging Of Capacitors Question 70

Question: When a copper voltameter is connected with a battery of e.m.f. 12 volts. 2 gms of copper is deposited in 30 minutes. If the same voltameter is connected across a 6 volt battery, then the mass of copper deposited in 45 minutes would be

[SCRA 1994]

Options:

A) 1 gm

B) 1.5 gm

C) 2 gm

D) 2.5 gm

Show Answer

Answer:

Correct Answer: B

Solution:

$ m=Zi,t $

Therefore $ m=\frac{ZVt}{R} $

Therefore $ m\propto Vt $

Therefore $ \frac{m _{1}}{m _{2}}=\frac{V _{1}t _{1}}{V _{2}t _{2}} $

Therefore $ \frac{2}{m _{2}}=\frac{12\times 30}{6\times 45} $

Therefore $ m _{2}=1.5,gm $