Correct answer: Units of both resistivity and resistance are the same.
Explanation:
Let’s examine each statement:
1. Resistivity is also called specific resistance – True
Resistivity is indeed another name for specific resistance. It is a material property.
2. Reciprocal of resistivity is called conductivity – True
\[ \text{Conductivity} = \frac{1}{\text{Resistivity}} \]
3. Units of both resistivity and resistance are the same – False
- Resistance unit: \( \Omega \) (ohm)
- Resistivity unit: \( \Omega \cdot \text{m} \) (ohm-meter)
So, the units are not the same.
4. Low resistivity metals are good conductors – True
Good conductors like copper and silver have very low resistivity.
Hence, the false statement is: Units of both resistivity and resistance are the same.
Two cells of emf 1V and 2V and internal resistance 2 \( \Omega \) and 1 \( \Omega \), respectively, are connected in series with an external resistance of 6 \( \Omega \). The total current in the circuit is \( I_1 \). Now the same two cells in parallel configuration are connected to the same external resistance. In this case, the total current drawn is \( I_2 \). The value of \( \left( \frac{I_1}{I_2} \right) \) is \( \frac{x}{3} \). The value of x is 1cm.
Current passing through a wire as function of time is given as $I(t)=0.02 \mathrm{t}+0.01 \mathrm{~A}$. The charge that will flow through the wire from $t=1 \mathrm{~s}$ to $\mathrm{t}=2 \mathrm{~s}$ is:
In the figure shown below, a resistance of 150.4 $ \Omega $ is connected in series to an ammeter A of resistance 240 $ \Omega $. A shunt resistance of 10 $ \Omega $ is connected in parallel with the ammeter. The reading of the ammeter is ______ mA.