1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# A square hole of side length l is made at a depth of h and a circular hole of radius r is made at a depth of 4h from the surface of water in a water tank kept on a horizontal surface. If l<<h, r<<h and the rate of water flow from the holes is the same, then r is equal to -

A
l2π
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
l3π
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
l3π
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
l2π
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is A l√2πGiven, Side length of square shaped hole =l Radius of circular hole =r Rate of flow from the holes is same. ⇒Q1=Q2 ⇒A1v1=A2v2 [A1 is area of square shaped hole and A2 is area of circular hole ] ⇒l2√2gh=πr2√2g×4h ⇒r2=l22π ⇒r=√l22π=l√2π

Suggest Corrections
10
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program