The Bhagirathi and the Alaknanda merge at Deoprayag to form 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 streamline flow, the ratio of the speed of Ganga to that of the Alaknanda is?

7 : 9

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4 : 3

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8 : 9

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5 : 3

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Solution

The correct option is B $8 : 9$
Using continuity equation,
$A_{1} v_{1} + A_{2} v_{2} = A v$

Given:
$A_{1} : A_{2} : A = 1 : 2 : 3$
$v_{1} : v_{2} = 1 : 1.5$

$⟹ v_{2} / 1.5 + 2 v_{2} = 3 v$
$v : v_{2} = 8 : 9$

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Similar questions

Q. At Deoprayag (Garhwal, UP) river Alaknanda mixes with the river Bhagirathi and becomes river Ganga. Suppose Alaknanda has a width of

12 m

, Bhagirathi has a width of

8 m

and Ganga has a width of

16 m

. Assume that the depth of water is same in the three rivers. Let the average speed of water in Alaknanda be

20 k m h^{- 1}

and in Bhagirathi be

16 k m h^{- 1}

Find the average speed of water in the river Ganga.

At Deoprayag (Garhwal, UP) river Alaknanda mixes with the river Bhagirathi and becomes river Ganga. Suppose Alaknanda has a width of 12 m, Bhagirathi has a width of 8 m and Ganga has a width of 16 m. Assume that the depth of water is same in the three rivers. Let the average speed of water in Alaknanda be 20 km h^-1 and in Bhagirathi be 16 km h^-1. Find the average speed of water in the river Ganga.

Q. In which town the Alaknanda and Bhagirathi rivers combines and form Ganga River?

12. Consider the following statements,

1] Bhagirathi is the source stream of Ganga.

2] At Devprayag, where Alaknanda joins Bhagirathi, the river acquires the name Ganga.

Which of the above statements is/are correct?

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The Bhagirathi and the Alaknanda merge at Deoprayag to form 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 streamline flow, the ratio of the speed of Ganga to that of the Alaknanda is?

The correct option is B 8:9Using continuity equation,A1v1+A2v2=AvGiven:A1:A2:A=1:2:3v1:v2=1:1.5⟹v2/1.5+2v2=3vv:v2=8:9

The correct option is B $8 : 9$
Using continuity equation,
$A_{1} v_{1} + A_{2} v_{2} = A v$

Given:
$A_{1} : A_{2} : A = 1 : 2 : 3$
$v_{1} : v_{2} = 1 : 1.5$

$⟹ v_{2} / 1.5 + 2 v_{2} = 3 v$
$v : v_{2} = 8 : 9$