Fluids Test

Result

Fluids Test - 8

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Question 1
1 / -0

A metallic Square Plate ABCD is suspended vertically with a pair of sides horizontal by a light in elastic string as shown in figure. A beaker of water is brought below the plate and raised till the plate is completely immersed and the level of water is well above the plate.

If the point of support is slowly raised vertically at a constant velocity, the graph of tension T in the string against the displacement s of the point of support is best represented by by

A

B

C

D

Solution

Tension T = W - U ...(1)
where W is the weight of plane and U is the upthrust. When the point of support is gradually raised up, The thrust does not alter till the upper edge AB of plane reaches the surface of water. Therefore. The position of graph should be a straight line parallel to S. After the end AB is pulled up, the upthrust decreases at a constant rate. As it decreases at a constant rate, which is clear from equation (1). T, tension increases at a constant rate. When the plate is completely out of liquid, U decreases to zero. T has maximum value which remains steady.
Question 2
1 / -0

When a large bubble rises from the bottom of a lake to the surface. Its radius doubles. If atmospheric pressure is equal to that of column of water height H, then the depth of lake is

A
H

B
2H

C
7H

D
8H

Solution
Question 3
1 / -0

Due to capillary action, a liquid will rise in a tube, if the angle of contact is

A
acute

B
obtuse

C
90^o

D
zero

Solution

If θ is less than 90^o, than h will be positive.
Question 4
1 / -0

Two capillary tubes P and Q are dipped in water. The height of water level in capillary P is 2/3 to the height in Q capillary. The ratio of their diameters is

A
2: 3

B
3: 2

C
3: 4

D
4: 3

Solution
Question 5
1 / -0

The value of coefficient of volume expansion of glycerin is 5×10⁻⁴ K⁻¹. The fractional charge in the density of glycerin for a rise of 40° C in its temperature is

A
0.020

B
0.025

C
0.010

D
0.015

Solution
Question 6
1 / -0

Which one of the following would a hydrogen balloon find easiest to lift ?

A
1 kg of steet

B
1 kg of water

C
1 kg of lightly packed feathers

D
All the same.

Solution

1 kg of lightly packed feather is the easiest to lift as it experiences maximum upthrust than by making apparant weight least.
Question 7
1 / -0

Blood is flowing at the rate of 200 cm³s⁻¹ in a capilarry of cross sectional area 0.5 m². The velocity of flow, in mms⁻¹, is

A
0.1

B
0.2

C
0.3

D
0.4

Solution
Question 8
1 / -0

An ornament made of silver is suspected to be hollow. It weighs 288.75 gm in air. It can displace 30 cc of water. If the specific gravity of silver is 10.5 . The volume of cavity is

A
2.5 cc

B
3 cc

C
5 cc

D
7.5 cc

Solution

mass of solid silver in air = 288.75/10.5 = 27.5 cc

water actually dispiaced = volume of ornament = 30 cc

volume of cavity = 30- 27.5 = 2.5 cc
Question 9
1 / -0

Two soap bubbles of radii r_a and r₂, r₁> r₂ get attached to each other to have a common interface. The radius of this interface is

A
r₁ − r₂

B
r₁ + r₂

C

D

Solution

Let r be the radius of common interface
Question 10
1 / -0

In the figure shown.

A
p₁> p₀

B
p > p₀

C
p = p₀

D
p = 0

Solution

Pressure at boundary of two liquids will be same.