Water flows through two identical tubes A and B. A volume V0 of water passes through the tube A and 2V0 through B in a given time. Which of the following may be correct?
(a) Flow in both the tubes are steady.
(b) Flow in both the tubes are turbulent.
(c) Flow is steady in A but turbulent in B.
(d) Flow is steady in B but turbulent in A.
(a) Flow in both the tubes are steady.
(b) Flow in both the tubes are turbulent.
(c) Flow is steady in A but turbulent in B.
EXPLANATION:
Since double the volume passes in B at the same time, the velocity of flow in B will be twice that of A. There may be a limit of velocity after which the steady flow may turn into turbulent flow. If the velocities in both the tubes are below this limit option (a) may be correct.
If the velocities in both the tubes are above this limit velocity option (b) may be true.
If the velocity in A is less than the limit velocity but in B more than the limit then option (c) may be correct.
If the velocity in B is less than the limit velocity then only the flow in it will be steady, the velocity in A will be half of B so it will also be steady, not turbulent. Hence the option (d) will never be correct.