Thermal Properties of Matter Test

Result

Thermal Properties of Matter Test - 43

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Question 1
4 / -1

A barometer is made of two identical capillary tubes whose radii are 1.44 × 10^–3 m and 7.2 × 10^–4 m respectively. If the height of a liquid in narrow tube is 0.2m more than height of it in broad tube, then what will be the exact pressure difference? Density of liquid = 10³ kg/m³, surface tension = 72 × 10^–3 N/m and g = 9.8 m/s².

A
1750 N/m²

B
1860 N/m²

C
1570 N/m²

D
1687 N/m²

Solution
Question 2
4 / -1

A sample of metal weights 210 grams in air, 180 grams in water and 120 grams in an unknown liquid. Then

A
the density of metal is 3 g/cm³

B
the density of metalis 7 g/cm³

C
density of metal is 4 times the density of the unknown liquid

D
the metal will float in water.

Solution
Question 3
4 / -1

A solid uniform ball having volume V and density ρ floats at the interface of two unmixible liquids as shown is Fig. The densities of the upper and the lower liquids are ρ₁ and ρ₂ respectively, such that ρ₁ < ρ < ρ₁ .what fraction of the volume of the ball will be in the lower liquid?

A

B

C

D

Solution
Question 4
4 / -1

A body of weight mg is hanging on a string, which extends its length by l. the work done in extending the string is

A
mgl

B
mgl/2

C
2 mgl

D
none of these

Solution
Question 5
4 / -1

A hemisphere portion of radius R is removed from the bottom of a cylinder of radius R. The volume of the remaining cylinder is V and its mass is M. It is suspended by a string in a liquid of density ρ where it stays vertical. The upper surface of the cylinder is at a depth h below the liquid surface. The force on the bottom of the cylinder by the liquid is

A
Mg

B
Mg – V ρ g

C
Mg + π R² h ρ g

D
ρg(V + π R² h)
Question 6
4 / -1

Water stands upto a height h behind the vertical wall of a dam. What is the net horizontal force pushing the dam down by the stream, if width of the dam is σ ? (ρ = density of water)

A
2 hσ g

B

C

D

Solution
Question 7
4 / -1

A thread is tied slightly loose to a wire frame as shown in Fig. and the frame is dipped into a soap solution and taken out. The frame is completely covered with the film. When the portion A is punctured with a pin, the thread

A
becomes concave towards A

B
becomes convex towards A

C
either (a) or (b) depending on the size of A with respect to B.

D
remains in the initial position.
Question 8
4 / -1

Water is filled in a cylindrical container to a height of 3 m. A hole is opened at a height of 52.5 cm from the bottom. The ratio of the cross-sectional area of the orifice and the beaker is 0.1. The square of the speed of the liquid coming out from the orifice is (g = 10m/s²)

A
50 m²/s²

B
50.2 m²/s²

C
51 m²/s²

D
52 m²/s²

Solution
Question 9
4 / -1

A given shaped glass tube having uniform cross section is filled with water and is mounted on a rotatable shaft as shown in Fig. If the tube is rotated with a constant angular velocity ω, then

A
water levels in both sections A and B go up

B
water levels in section A goes up and that of B comes down

C
water level in section A comes down and that in B goes up

D
water level remains same in both sections

Solution
Question 10
4 / -1

There are two identical small holes on the opposite sides of a tank containing a liquid. The tank is open at the top. The difference in height between the two holes is h. As the liquid comes out of the two holes, the tank will experience a net horizontal force proportional to

A
h^1/2

B
h^3/2

C
h

D
h²

Solution