Step 1: Understanding the Power of a Lens
The power of a lens is defined as the reciprocal of the focal length. It is given by the formula:
\[
P = \frac{1}{f}
\]
where \( P \) is the power in diopters (D) and \( f \) is the focal length in meters.
Step 2: Unit of Power
Since the power is the reciprocal of the focal length, the unit of power is given as per metre (D). The unit of focal length is meter, so the power has the unit of per metre (D).
Thus, the correct answer is option (C).
Match List-I with List-II for the index of refraction for yellow light of sodium (589 nm)
| LIST-I (Materials) | LIST-II (Refractive Indices) | ||
|---|---|---|---|
| A. | Ice | I. | 1.309 |
| B. | Rock salt (NaCl) | II. | 1.460 |
| C. | CCl₄ | III. | 1.544 |
| D. | Diamond | IV. | 2.417 |
Choose the correct answer from the options given below:
Match the LIST-I with LIST-II
| LIST-I | LIST-II | ||
|---|---|---|---|
| A. | Compton Effect | IV. | Scattering |
| B. | Colors in thin film | II. | Interference |
| C. | Double Refraction | III. | Polarization |
| D. | Bragg's Equation | I. | Diffraction |
Choose the correct answer from the options given below:
Find the unknown frequency if 24 is the median of the following frequency distribution:
\[\begin{array}{|c|c|c|c|c|c|} \hline \text{Class-interval} & 0-10 & 10-20 & 20-30 & 30-40 & 40-50 \\ \hline \text{Frequency} & 5 & 25 & 25 & \text{$p$} & 7 \\ \hline \end{array}\]
Two concentric circles are of radii $8\ \text{cm}$ and $5\ \text{cm}$. Find the length of the chord of the larger circle which touches (is tangent to) the smaller circle.