JEE Main Physics Class 11 Properties of Solids and Liquids Questions Part 1 Questions

i.e. R1=R2=R
or, v1t1=v2t2 ......(i)
Where v1= velocity of efflux at A=√(2gh1) and
v2= velocity of efflux at B=√(2g(H−h2)
t1= time of fall water stream through A =√(

2(H−h1

g

)
t2= time of fall of the water stream through B=√

2h2

g

Putting these values is eqn (i) we get
(H−h1)h1=(H−h2)h2
or [H−(h1+h2)][h1−h2]=0
Here, H=h1+h2 is irrelevant because the holes are at two different heights. Hence h1=h2 or,

h1

h2

=1