Properties of Solids and Liquids — DPP 2

20 NEET questions from Properties of Solids and Liquids, with answers and explanations. Attempt it as a timed test to get scoring, accuracy breakdown and mistake tracking.

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1
The spring balance $A$ read 2 kg. with a block m suspended from it. A balance B reads 5 kg. when a beaker with liquid is put on the pan of the balance. The two balances are now so arranged that the hanging mass is inside the liquid in the beaker as shown in fig. In this situation :-
Properties of Solids and Liquids – NEET-7696
  1. A The balance A will read more than 2 kg
  2. B The balance B will read more than 5 kg
  3. C The balance A will read less than 2 kg and B will read more than 5 kg
  4. D The balance A and B will read 2 kg and 5 kg respectively
Show answer & explanation

Correct answer: C

Due to upthrust on the block, its apparent wt. will reduce & hence the reading of spring balance A will be less then 2 kg. But since the liquid in the beaker exerts buoyant force on the block, the block will also exert a reaction force on the liquid in the downward direction and the reading of balance B will increase due to this additional force.
2
The flow speeds of air on the lower and upper surfaces of the wing of an aeroplane are v and $\sqrt { 2 } \mathrm { v }$ respectively. The density of air is ρ and surface area of wing is A. The dynamic lift on the wing is :
  1. A $\rho v ^ { 2 } A$
  2. B $\sqrt { 2 } \rho v ^ { 2 } A$
  3. C $( 1 / 2 ) \rho v ^ { 2 } A$
  4. D $2 \rho v ^ { 2 } A$
Show answer & explanation

Correct answer: C

Properties of Solids and Liquids – NEET-7807
3
A wooden block, with a coin placed on its top, floats in water as shown in figure. The distance $\ell$ and h are shown there. After sometime the coin falls into the water. Then :-
Properties of Solids and Liquids – NEET-7700
  1. A $\ell$ decreases and h increases
  2. B $\ell$ increases and h decreases
  3. C both $\ell$ and h increase
  4. D both $\ell$ and h decrease
Show answer & explanation

Correct answer: D

When coin is removed the downward force an block decrease, which will reduce the volume submerged also the removing volume will be filled by water so h ↓
4
A sample of metal weights 210 gram in air, 180 gram in water and 120 gram in an unknown liquid. Then :-
  1. A the density of metal is 3 g/cm$^{3}$
  2. B the density of metal is 7 g/cm$^{3}$
  3. C density of metal is 4 times the density of the unknown liquid
  4. D the metal will float in water
Show answer

Correct answer: B

5
Water flows through a frictionless duct with a cross-section varying as shown in figure. Pressure P at points along the axis is represented by
Properties of Solids and Liquids – NEET-7804
  1. A
  2. B
  3. C
  4. D
Show answer & explanation

Correct answer: A

According to Bernoulli's theorem.
$\frac{1}{2} \rho v^{2}+\rho g h+P=$ const.
So if A ↓ v ↑ and P ↓
and if A ↑ v ↓ and P ↑
6
A jar is filled with two non-mixing liquids 1 and 2 having densities and, respectively.
Properties of Solids and Liquids – NEET-7697 A solid ball, made of a material of density ρ$_{3}$, is dropped in the jar. It comes to equilibrium in the position shown in the figure. Which of the following is true for ρ$_{1}$, ρ$_{2}$ & ρ$_{3}$
  1. A $\rho _ { 3 } < \rho _ { 1 } < \rho _ { 2 }$
  2. B $\rho _ { 1 } > \rho _ { 3 } > \rho _ { 2 }$
  3. C $\rho _ { 1 } < \rho _ { 2 } < \rho _ { 3 }$
  4. D $\rho _ { 1 } < \rho _ { 3 } < \rho _ { 2 }$
Show answer & explanation

Correct answer: D

Liquid with low density floats over high-density.
7
Two water pipes P and Q having diameter $2 \times 10 ^ { - 2 } \mathrm {~m}$ and $4 \times 10 ^ { - 2 } \mathrm {~m}$ respectively are joined in series with the main supply line of water. The velocity of water flowing in pipe P is
  1. A 4 times that of Q
  2. B 2 times that of Q
  3. C $\frac { 1 } { 2 }$ times that of $Q$
  4. D $\frac { 1 } { 4 }$ times that of $Q$
Show answer & explanation

Correct answer: A

Properties of Solids and Liquids – NEET-7801
8
A wooden block is taken to the bottom of a lake of water and then released. it rise up with a
  1. A Constant acceleration
  2. B Decreasing acceleration
  3. C Constant velocity
  4. D Decreasing velocity
Show answer & explanation

Correct answer: A

For wooden block ρ$_{Block}$ < ρ$_{Water}$
So F$_{B}$ > Mg, hence it will rise up with an constant acceleration.
9
A body measures 5 N in air and 2 N when put in water. The buoyant force is
  1. A 7 N
  2. B 9 N
  3. C 3 N
  4. D None of these
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Correct answer: C

Th = W$_{A}$ – W$_{W}$ = 5 – 2 = 3N
10
A piece of ice is floating in a jar containing water. When the ice melts, then the level of water:-
  1. A Rises
  2. B Falls
  3. C Remains unchanged
  4. D Changes erratically
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Correct answer: C

Same density
11
The cylindrical tube of a spray pump has a radius R, one end of which has n fine holes, each of radius r. If the speed of flow of the liquid in the tube is v, the speed of ejection of the liquid through the hole is :-
  1. A $\frac { v } { n } \left( \frac { R } { r } \right)$
  2. B $\frac { v } { n } \left( \frac { R } { r } \right) ^ { 1 / 2 }$
  3. C $\frac { v } { n } \left( \frac { R } { r } \right) ^ { 3 / 2 }$
  4. D $\frac { v } { n } \left( \frac { R } { r } \right) ^ { 2 }$
Show answer & explanation

Correct answer: D

Writing equation of continuity for the tube & the holes
$\begin{array}{ll}\Rightarrow & A_{\text {tube }} V_{\text {tube }}=n A_{\text {hole }} V_{\text {hole }} \\ & \pi R^{2} \times v=n \pi r^{2} v^{\prime} \quad \Rightarrow \quad v^{\prime}=\frac{v R^{2}}{n r^{2}}\end{array}$
12
A weight is suspended from a long metal wire. If the wire suddenly breaks, its temperature
  1. A rises
  2. B falls
  3. C remains unchanged
  4. D attains a value 0 K
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Correct answer: A

If wire suddenly breaks then energy released on bond breaking appears in the form of heat.
13
Hydraulic press is based upon
  1. A Archimede's principle
  2. B Bernoulli's theorem
  3. C Pascal's law
  4. D Zurin's law
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Correct answer: C

Hydraulic lift, hydraulic jack, hydraulic press works on Pascal's law.
14
A tank of height 5 m is full of water. There is a hole of cross-sectional area 1 cm$^{2}$ in its bottom. The initial volume of water that will come out of this hole per second is
  1. A $10 ^ { - 3 } \mathrm {~m} ^ { 3 } / \mathrm { s }$
  2. B $10 ^ { - 4 } \mathrm {~m} ^ { 3 } / \mathrm { s }$
  3. C $10 \mathrm {~m} ^ { 3 } / \mathrm { s }$
  4. D $10 ^ { - 2 } \mathrm {~m} ^ { 3 } / \mathrm { s }$
Show answer & explanation

Correct answer: A

Volume flowing per second = Av
$=A \sqrt{2 g h}=10^{-4} \sqrt{2 \times 10 \times 5}=10^{-3} \mathrm{~m}^{3} / \mathrm{s}$
15
An incompressible fluid flows steadily through a cylindrical pipe which has radius 2R at point A and radius R at point B farther along the flow direction. If the velocity at point A is v, its velocity at point B is:-
  1. A 2v
  2. B v
  3. C $\frac { v } { 2 }$
  4. D 4v
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Correct answer: D

$\begin{array}{l}A_{A} v_{A}=A_{B} v_{B} \\ v_{B}=\frac{A_{A}}{A_{B}} \times v_{A}=\frac{\pi(2 R)^{2}}{\pi R^{2}} \times v=4 v\end{array}$
16
The pressure of water in a water pipe when tap is opened and closed is respectively $3 \times 10 ^ { 5 } \mathrm {~N} / \mathrm { m } ^ { 2 }$ and $3.5 \times 10 ^ { 5 } \mathrm {~N} / \mathrm { m } ^ { 2 }$. With open tap, the velocity of water flowing is
  1. A 10 m/s
  2. B 5 m/s
  3. C 20 m/s
  4. D 15 m/s
Show answer & explanation

Correct answer: A

Properties of Solids and Liquids – NEET-7806
17
Cross section area of a steel wire $\left( \mathrm { Y } = 2.0 \times 10 ^ { 11 } \mathrm {~N} / \mathrm { m } ^ { 2 } \right)$ is 0.1 cm$^{2}$. The required force, to make its length double will be -
  1. A $2 \times 10 ^ { 12 } \mathrm {~N}$
  2. B $2 \times 10 ^ { 11 } \mathrm {~N}$
  3. C $2 \times 10 ^ { 10 } \mathrm {~N}$
  4. D $2 \times 10 ^ { 6 } \mathrm {~N}$
Show answer & explanation

Correct answer: D

Properties of Solids and Liquids – NEET-7630
18
Which of the following works on Pascal's law ?
  1. A Sprayer
  2. B Venturimeter
  3. C Hydraulic lift
  4. D Barometer
Show answer & explanation

Correct answer: C

Hydraulic lift, hydraulic jack, hydraulic piston works on Pascal's law.
19
If the density of a block is 981 kg/m$^{3}$ then it shall
  1. A Sink in water
  2. B float with some part emmersed in water
  3. C float completely immersed in water
  4. D $ float completely out of water.
Show answer & explanation

Correct answer: B

Water density = 1000 kg/m$^{3}$
block density = 981 kg/m$^{3}$
so it will float with some part immersed in water.
20
Two vessels A and B have the same base area and contain water to the same height, but the mass of water in A is four times that in B. The ratio of the liquid thrust at the base of A to that at the base of B is :-
Properties of Solids and Liquids – NEET-7694
  1. A 4 : 1
  2. B 4 : 1
  3. C 1 : 1
  4. D 2 : 1
Show answer & explanation

Correct answer: C

Properties of Solids and Liquids – NEET-7694

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