A given shaped glass tube having uniform cross section is filled with water and is mounted on a rotatable shaft as shown in figure. If the tube is rotated with a constant angular velocity ω when
water levels in both sections A and B go up
water level in section A goes up and that in B comes down
water level in section A comes down and that in B it goes up
water levels remain same in both sections
Assertion: Specific gravity of a fluid is a dimensionless quantity
Reason: : It is the ratio of density of fluid to the density of water.
If both assertion and reason are true and reason is the correct explanation of assertion
If both assertion and reason are true but reason is not the correct explanation of assertion
If assertion is true but reason is false
If both assertion and reason are false
Assertion: For Reynold number Re > 2000, the flow of fluid is turbulent.
Reason: Inertial forces are dominant compared to the
viscous forces at such high Reynold numbers.
If both assertion and reason are true and reason is the correct explanation of assertion
If both assertion and reason are true but reason is not the correct explanation of assertion
If assertion is true but reason is false
If both assertion and reason are false
A sphere of mass Mand radius R is falling in a viscous fluid. The terminal velocity attained by the falling object will be proportional to
R2
R
1/R
1/R2
The old age arteries carrying blood in the human body become barrow resulting in an increase in blood pressure. This follows from
Pascal's law
Stoke's law
Bernoulli's principle
Archimedes principle
Assertion: Smaller drops of liquid resist deforming forces better than the larger drops.
Reason: Excess pressure inside a drop is directly proportional to its surface area
If both assertion and reason are true and reason is the correct explanation of assertion
If both assertion and reason are true but reason is not the correct explanation of assertion
If assertion is true but reason is false
If assertion is true but reason is false
Bernoulli's equation is a consequence of conservation of
energy
linear momentum
angular momentum
mass
Two small drops of mercury, each of radius R, coalesce to form a single large drop. The ratio of the total surface energies before and after change is
1 : 21/3
21/3 : 1
2 : 1
1 : 2
B.
21/3 : 1
Radius of one drop of mercury is R
∴ The volume of one drop =
∴ Total volume of the two drops,
V = 2 ×
V =
Let the radius of the large drop formed be R'
The total volume of the large is also V
R'3 = 2R3
⇒ R' = 21/3 R
Now the surface area of the resultant drop is
S1 = 2 × 4R2
S1 = 8R2
and the surface area of the resultant drop is
S2 = 4R'2
S2 = 4 22/3 R2
Let T be the surface tension of the mercury. Therefore the surface energy of the two drops before coalescing is
U1 = S1 T
U1 = 8R2T
and the surface energy after coalescing,
U2 = S2T
U2 = 22/3 × 4R2T
∴
=
= 21/3
The property utilized in the manufacture of lead shots is
specific weight of liquid lead
compressibility of liquid lead
specific gravity of liquid lead
surface tension of liquid lead