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GUJCET · Physics · Current Electricity

Current flowing through the cell and potential difference between its two poles obtained by obtained observations, observation table has been prepared. The internal resistance of cell is r.
orderV voltI Ampiere
11.00.08
20.50.18
30.80.12

Find the emf of the cell used in experiment.

  1. A 2.5 V
  2. B 1.4 V
  3. C 2 V
  4. D 1.5 V
Verified Solution

Answer & Solution

Correct Answer

(B) 1.4 V

Step-by-step Solution

Detailed explanation

(B)
\(\begin{array}{l} V =\varepsilon- I r \\ \therefore \quad \varepsilon= V + I r\end{array}\)
Substituting value of V and I from 1 and 2 row of the observation table.
\(\therefore \varepsilon=1+0.08 r\) \(\quad \quad \ldots \ldots(1)\)
and \(\varepsilon=0.5+0.18 r\) \(\quad \quad \ldots \ldots(2)\)
compare equation (1) with equation (2)
\(0.5+0.18 r =1+0.08 r \\ \therefore 0.18 r-0.08 r =1-0.5 \\ \therefore 0.1 r =0.5 \\ =5 \Omega\)
Now \(\varepsilon= V + I r\)
\(\begin{array}{ll}\therefore \varepsilon=1+0.08 \times 5(\because r=5 \Omega) \\ \therefore \varepsilon=1+0.4 \\ \therefore \varepsilon=1.4 V\end{array}\)