Step 1: Understanding the Physical Quantities and Units
- Electrical resistivity refers to the property of a material to resist the flow of electric current. Its unit is ohm-meter (iv).
- Electric potential difference is the energy per unit charge, also known as voltage. Its unit is joule per coulomb (iii).
- Electrical energy is the energy consumed by an electric current. Its unit is watt-hour (ii).
- Electric charge is the property of matter that causes it to experience a force when placed in an electric and magnetic field. Its unit is coulomb (i).
Step 2: Matching the Units to the Quantities
- Electrical resistivity: ohm-meter (iv).
- Electric potential difference: joule per coulomb (iii).
- Electrical energy: watt-hour (ii).
- Electric charge: coulomb (i).
Thus, the correct matching is: (C) 1-iv, 2-i, 3-ii, 4-iii.
Match the LIST-I with LIST-II
| LIST-I | LIST-II | ||
| A. | Boltzmann constant | I. | \( \text{ML}^2\text{T}^{-1} \) |
| B. | Coefficient of viscosity | II. | \( \text{MLT}^{-3}\text{K}^{-1} \) |
| C. | Planck's constant | III. | \( \text{ML}^2\text{T}^{-2}\text{K}^{-1} \) |
| D. | Thermal conductivity | IV. | \( \text{ML}^{-1}\text{T}^{-1} \) |
Choose the correct answer from the options given below :
$PQ$ is a chord of length $4\ \text{cm}$ of a circle of radius $2.5\ \text{cm}$. The tangents at $P$ and $Q$ intersect at a point $T$. Find the length of $TP$.