Question:
The value of φ (phi) of a sediment grain having a diameter of 0.125 mm is ______ . (In integer)
The value of φ (phi) of a sediment grain having a diameter of 0.125 mm is ______ . (In integer)
Updated On: Feb 10, 2025
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Correct Answer: 3
Solution and Explanation
Calculating the ϕ (Phi) Value of a Sediment Grain
Step 1: Understanding the Formula
The formula to calculate the ϕ (phi) value of a sediment grain is:
\[ ϕ = -\log_2 \left( \frac{D}{1} \right) \]
Where:
- D is the diameter of the grain in millimeters.
Step 2: Substituting the Given Values
Given that the diameter D = 0.125 mm, we substitute this value into the formula:
\[ ϕ = -\log_2 (0.125) \]
Since \( \log_2 (0.125) = -3 \), we get:
\[ ϕ = 3 \]
Final Answer:
Thus, the correct value of ϕ is: 3.
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