Question

Two rods of the same weight and different base areas are rested vertically on the surface of sand as shown in the figure. Choose the correct statements.

• A. Rod A will sink more than rod B.
• B. Rod B will sink more than rod A.
• C. Rod A applies greater pressure on the sand.
• D. Rod B applies greater pressure on the sand.

Answer 1

Answer: (B), (D)

The correct options are
B Rod B will sink more than rod A.
D Rod B applies greater pressure on the sand.

We know $Pressure=\frac{Force}{Area}$
Given, the weight of both the rods are same. So, both the rods applies the same amount of force. It is given that base area of rod B is less than rod A. We know that pressure is inversely proportional to area, so pressure applied by B on the sand is more than that of A. Hence, B sinks deeper.