wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The area of two holes A and B are 2a and a respectively. The holes are at depths H3 and 2H3 from the surface of water. Find the correct option(s) -


A
The velocity of efflux at hole B is 2 times the velocity of efflux at hole A
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
The velocity of efflux at hole B is 2 times the velocity of efflux at hole A
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
The discharge is same through both the holes
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
The discharge through hole A is 2 times the discharge through hole B
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D The discharge through hole A is 2 times the discharge through hole B
Given,
Area of hole A, AA= 2a
Area of hole B, AB= a


Velocity of efflux -
For hole A :
vA=2g×H3 ......(1)
[ v=2gh ]
For hole B :
vB=2g×2H3 ......(2)
From (1) and (2),
vB=2vA .......(3)

Discharge of efflux -
For hole A :
QA=2a×vA ......(4)
[ Q=Av ]
For hole B:
QB=a×vB=a×2vA ......(5)
[ from (3) ]
From (4) and (5),
QA=2QB
Hence, option B and D are correct.

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon