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Question: When a copper voltameter is connected with a battery of e.m.f. 12 volts. 2 gms of copper is deposite...

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

A

1 gm

B

1.5 gm

C

2 gm

D

2.5 gm

Answer

1.5 gm

Explanation

Solution

m=Zitm = Zitm=ZVtRm = \frac{ZVt}{R}mVtm \propto Vtm1m2=V1t1V2t2\frac{m_{1}}{m_{2}} = \frac{V_{1}t_{1}}{V_{2}t_{2}}

2m2=12×306×45\frac{2}{m_{2}} = \frac{12 \times 30}{6 \times 45}m2=1.5gmm_{2} = 1.5gm