The plan of an area has shrunk such that a line originally 10 cm, now measures 9.5 cm. If the original scale of the plan was 1 cm = 10 m (R.F. = 1:1000), the shrinkage factor is given as:
Show Hint
- 1.05
- 1.0
- 0.95
- 0.90
The Correct Option is C
Solution and Explanation
Step 1: Define shrinkage factor.
Shrinkage factor = \(\frac{\text{Shrunk length}}{\text{Original length}}\).
Step 2: Substitution.
Original length = 10 cm, Shrunk length = 9.5 cm.
\[
\text{Shrinkage Factor} = \frac{9.5}{10} = 0.95
\]
Step 3: Conclusion.
Therefore, the shrinkage factor is 0.95. Correct answer is (C).
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