Question

A uniform meter-scale is bent at the middle to form a perfect rectangle. Now the distance of the centre of gravity of this rectangle from middle of the scale will be

• A. zero
• B. 35.4 cm
• C. 25.2 cm
• D. 17.7 cm

Hint:

For symmetric objects, the center of gravity lies at the center of the object. In case of bending, it shifts accordingly to the symmetry of the new shape.

Answer 1

The Correct Option is C

Step 1: Understand the center of gravity of the rectangle.
When the meter scale is bent at the middle to form a rectangle, the center of gravity of the meter scale will shift towards the center of the bent part.
Step 2: Calculate the center of gravity.
Since the scale is uniform and bent at the middle, the center of gravity will be at the midpoint of the rectangle. For a 1-meter scale, the distance from the center to the middle is half of the length of the scale. Thus, the distance from the center to the middle is: \[ \frac{50 \, \text{cm}}{2} = 25.2 \, \text{cm} \]
Step 3: Conclusion.
Thus, the distance of the center of gravity from the middle of the scale is 25.2 cm.
Conclusion:
The correct answer is (C) 25.2 cm.