A thin prism of `6^(@)` is made of material of refractive index `5/3`. The deviation caused by it is

Options

A. `2^(@)`
B. `8^(@)`
C. `4^(@)`
D. `6^(@)`

Answer

To solve the problem of finding the deviation caused by a thin prism, we can follow these steps:

### Step 1: Understand the given values
We have:
- Angle of the prism (A) = 6 degrees
- Refractive index (μ) = 5/3

### Step 2: Use the formula for deviation
The formula for the angle of deviation (δ) caused by a thin prism is given by:
\[ \delta = (\mu - 1) \times A \]

### Step 3: Substitute the values into the formula
Now, substitute the values of μ and A into the formula:
\[ \delta = \left(\frac{5}{3} - 1\right) \times 6^\circ \]

### Step 4: Simplify the expression
First, calculate μ - 1:
\[ \mu - 1 = \frac{5}{3} - \frac{3}{3} = \frac{2}{3} \]
Now substitute this back into the deviation formula:
\[ \delta = \frac{2}{3} \times 6^\circ \]

### Step 5: Calculate the deviation
Now, calculate the deviation:
\[ \delta = \frac{2 \times 6}{3} = \frac{12}{3} = 4^\circ \]

### Final Answer
The deviation caused by the prism is:
\[ \delta = 4^\circ \]

---