Question

Answer is (a)
⏩Explanation required⏪

Answer 1

Hello Friend !

Explanation is given below :

Consider a small length dx at adistance x on the rod from the axis of rotation

mass of liquid in dx legth = dm = M/L dx

centrifugal force is acting  on dm mass
 
dF = dm x ω2
 
F = ∫df  =∫dm x ω2
 
=M/L ω2∫x dx        limit 0 to L 

=MLω2/2

this force is balance by normal reaction on fluid by other end
N =   MLω2/2
Hope this helps !

Answer 2

suppose a small length dx at a distance x on the rod from the axis of rotation
mass of liquid in dx legth = dm = M/L dx
centrifugal force is acting  on dm mass
 dF = dm x w2


 F = ∫df  =∫dm x w2

  =M/L w2∫x dx   
limit 0 to L

=MLw2/2
this force is balance by normal reaction on fluid by other end


N =   MLw2/2