Answer:
[tex]x=0.01^{1/4}[/tex]
Explanation:
As the flow rate Q is given as:
[tex]Q=\frac{(p_{2}-p_{1} )\pi r^{4} }{8nl}[/tex]
In case of all other parameters are constant.We could write it as:
[tex]Q=constant*r^{4}[/tex]
Reducing Q to 1% we could write it as:
[tex]0.01Q=constant*(r^{4} )\\[/tex]
Where x is factor or r to reduce Q to 1%.From this we got
[tex]0.01=x^{4}\\ So\\x=0.01^{1/4}[/tex]
