The velocity of water flowing in a non-uniform tube is 20 cm/s at a point where the tube radius is 0.2 cm. The velocity at another point, where the radius is 0.1 cm, is

Question

The velocity of water flowing in a non-uniform tube is 20 cm/s at a point where the tube radius is 0.2 cm. The velocity at another point, where the radius is 0.1 cm, is (A) 80 cm/s (B) 40 cm/s (C) 20 cm/s (D) 5 cm/s

Tardigrade Admin · Accepted Answer

In now of fluids in a tube v1r12=v2r22 20× (0.2)2=v2× (0.1)2 v2=(20× (0.2)2/(0.1)2) v2=80 cm/s

Q. The velocity of water flowing in a non-uniform tube is 20 cm/s at a point where the tube radius is 0.2 cm. The velocity at another point, where the radius is 0.1 cm, is

80 cm/s

40 cm/s

20 cm/s

5 cm/s

In now of fluids in a tube $v_{1} r_{1}^{2} = v_{2} r_{2}^{2}$ $20 \times (0.2)^{2} = v_{2} \times (0.1)^{2}$ $v_{2} = \frac{20 \times ( 0.2 ) ^{2}}{( 0.1 ) ^{2}}$ $v_{2} = 80 c m / s$

Q. The velocity of water flowing in a non-uniform tube is 20 cm/s at a point where the tube radius is 0.2 cm. The velocity at another point, where the radius is 0.1 cm, is

80 cm/s

40 cm/s

20 cm/s

5 cm/s

In now of fluids in a tube v1​r12​=v2​r22​ 20×(0.2)2=v2​×(0.1)2 v2​=(0.1)220×(0.2)2​ v2​=80cm/s

In now of fluids in a tube $v_{1} r_{1}^{2} = v_{2} r_{2}^{2}$ $20 \times (0.2)^{2} = v_{2} \times (0.1)^{2}$ $v_{2} = \frac{20 \times ( 0.2 ) ^{2}}{( 0.1 ) ^{2}}$ $v_{2} = 80 c m / s$