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KVPY SA Exam 19-Nov-2017 Question Paper
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© examsnet.com
Question : 28
Total: 80
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 stremline flow, the ratio of the speed of Ganga to that of the Alaknands is
7 : 9
4 :3
8 : 9
5 :3
Validate
Solution:
By equation of continuity
Area of Bhagirathi ⇒ A
Area of Alaknanda ⇒ 2A
Area of Ganga ⇒ 3A
V
B
:
V
AL
:
V
G
:
⇒
V
:
3
2
V
:
V
1
By equation of continuity
A
V
+
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
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