Question:

The vertical separation of a displaced horizontal stratum along a dip-slip reverse fault is 10 m when measured on a section perpendicular to the fault-strike. If the dip of the fault is 30⁰, the net slip of the fault will be ______ m. (In integer)

Updated On: Feb 10, 2025
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Correct Answer: 20

Solution and Explanation

Calculating the Net Slip of a Fault 

Step 1: Understanding the Formula

The formula to calculate the net slip of the fault is given by:

\[ \text{Net Slip} = \frac{\text{Vertical Separation}}{\sin(\text{Dip Angle})} \]

Where:

  • Vertical Separation is the vertical displacement between two sides of the fault.
  • Dip Angle is the angle of the fault plane relative to the horizontal.

Step 2: Substituting the Given Values

Given that:

  • Vertical Separation = 10 m
  • Dip of the Fault = 30°

Substituting these values into the formula:

\[ \text{Net Slip} = \frac{10 \text{ m}}{\sin(30^\circ)} \]

Since \( \sin(30^\circ) = 0.5 \), we get:

\[ \text{Net Slip} = \frac{10}{0.5} = 20 \text{ m} \]

Final Answer:

Thus, the net slip of the fault is: 20 m.

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