Solveeit Logo

Question

Question: 100 cells each of e.m.f. 5 V and internal resistance 1 ohm are to be arranged so as to produce maxim...

100 cells each of e.m.f. 5 V and internal resistance 1 ohm are to be arranged so as to produce maximum current in a 25 ohms resistance. Each row is to contain equal number of cells. The number of rows should be

A

2

B

4

C

5

D

10

Answer

2

Explanation

Solution

If m = Number of rows

and n = Number of cells in a row

Then m × n = 100 .....(i)

Also condition of maximum current is R=nrmR = \frac { n r } { m }

25=1×nm25 = \frac { 1 \times n } { m } ⇒ n = 25 m .....(ii)

On solving (i) and (ii) m = 2