KVPY2017PhysicsMechanical Properties of Fluids
The bhagirathi and the Alaknanda merge at Deoprayag toform the Ganga with their speeds in the ratio 1: 1.5 . The cross-sectional areas of the Bhagirathi, the Alaknanda and the Ganga are in the ratio 1: 2: 3 . Assuming stremline flow, the ratio of the speed of Ganga to that of the Alaknands is
Options
- A7: 9
- B4: 3
- C8: 9
- D5: 3
Correct answer
C. 8: 9
Step-by-step solution
By equation of continuity Area of Bhagirathi A Area of Alaknanda 2 ~A Area of Ganga 3 ~A V _ B : V _ AL : V _ G : V : 3 2 ~V : V ₁ By equation of continuity array l AV + 3 2 ~A 2 . V 3 ~A V ₁ ~V _ ganga = 4 3 ~V V _ Alaknanda V _ ganga 3 2 ~V 4 3 ~V = 9 8 ~V _ ganga : V _ Alaknanda =8: 9 array