Question

Water from a tap emerges vertically downwards with an initial speed of \( 1.0 \, \text{ms}^{-1} \). The cross-sectional area of the tap is \( 1 \, \text{cm}^2 \). Assume that the pressure is constant throughout the stream of water and that the flow is steady. The cross-sectional area of the stream \( 15 \, \text{cm} \) below the tap is \( (g = 10 \, \text{ms}^{-2}) \)

• A. \( 0.5 \, \text{cm}^2 \)
• B. \( 5 \, \text{m}^2 \)
• C. \( 0.2 \, \text{cm}^2 \)
• D. \( 0.05 \, \text{m}^2 \)

Hint:

For steady flow, use the continuity equation \( A_1v_1 = A_2v_2 \). As water falls down, its speed increases and cross-sectional area decreases.

Answer 1

The Correct Option is A