Question

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:

• A. 1.05
• B. 1.0
• C. 0.95
• D. 0.90

Hint:

Shrinkage factor less than 1 indicates reduction in size, while greater than 1 indicates expansion.

Answer 1

The Correct Option is C

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).