In a horizontal pipe, water has pressure 2.0 × 10^5 Pa and speed 2 m/s at one point. If its speed at another point is 6 m/s, taking water density as 1000 kg/m³, the pressure at the second point is

Options

  • A. 1.84 × 10^5 Pa
  • B. 1.76 × 10^5 Pa
  • C. 2.16 × 10^5 Pa
  • D. 2.08 × 10^5 Pa
  • E. 1.20 × 10^5 Pa

Correct Answer (Detailed Explanation is Below)

B. 1.76 × 10^5 Pa

Detailed Explanation

For equal heights, P1 + 1/2ρv1² = P2 + 1/2ρv2². Thus P2 = 2.0×10^5 + 500(4 − 36) = 2.0×10^5 − 1.6×10^4 = 1.84×10^5 Pa.