MCQ
Two identical cells send the same current in $2\,\Omega $ resistance, whether connected in series or in parallel. The internal resistance of the cell should be ............... $\Omega$
- A$1$
- ✓$2$
- C$0.5$
- D$2.5$
In parallel, ${I_2} = \frac{E}{{2 + \frac{r}{2}}} = \frac{{2E}}{{4 + r}}$
Since ${i_1} = {i_2}$ $ \Rightarrow $ $\frac{{2E}}{{4 + r}} = \frac{{2E}}{{2 + 2r}}$ $ \Rightarrow $ $r = 2\,\Omega $
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$(A)$ $|\vec{\tau}|=\frac{1}{3} \mathrm{Nm}$
$(B)$ The torque $\vec{\tau}$ is in the direction of the unit vector $+\hat{\mathrm{k}}$
$(C)$ The velocity of the body at $\mathrm{t}=1$ is $\overrightarrow{\mathrm{v}}=\frac{1}{2}(\hat{\mathrm{i}}+2 \hat{\mathrm{j}}) \mathrm{m} \mathrm{s}^{-1}$
$(D)$ The magnitude of displacement of the body at $\mathrm{t}=1 \mathrm{~s}$ is $\frac{1}{6} \mathrm{~m}$