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Two cells of e.m.f. E(1) and E(2), E(1) ...

Two cells of e.m.f. `E_(1)` and `E_(2), E_(1) gt E_(2)` having an internal resistance of `1Omega` each form a closed circuit with an ammeter and a resistance . When the polarity of `E_(2)` is reversed, the current changes from 120 mA to 20 mA . If the combined resistance of ammeter and resistance is `18Omega` then the value of `E_(1)` and `E_(2)` will be

A

2.5 V, 1.1 V

B

1.5 V, 2.2 V

C

1.5 V, 1.1 V

D

2.5 V, 2.2 V

Text Solution

Verified by Experts

The correct Answer is:
C

`I=(E_(1)+E_(2))/(R+r_(1)+r_(2)):.E_(1)+E_(2)=2.6` ... (i)
`I=(E_(1)-E_(2))/(R+r_(1)+r_(2)):.E_(1)-E_(2)=0.4` ...(iii)
From equation (i) and (ii),
`E_(1)=1.5V` and `E_(2)=1.1V`
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