Tag: properties of matter

Questions Related to properties of matter

Multiple choice viscosity option b: engineering physics properties of matter physics

Match List I with List II and select the correct answer using the codes given below the lists :

List I List II
p. Boltzmann constant 1. $[ML^2T^{-1}]$
q. Coefficient of viscosity 2. $[ML^{-1}T^{-1}]$
r. Planck constant 3. $[MLT^{-3}K^{-1}]$
s. Thermal conductivity 4. $[ML^2T^{-2}K^{-1}]$
  1. P - 3, Q - 1, R - 2, S - 4

  2. P - 3, Q - 2, R - 1, S - 4

  3. P - 4, Q - 2, R - 1, S - 3

  4. P - 4, Q - 1, R - 2, S - 3

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$c. p \rightarrow (4); q \rightarrow (2); r \rightarrow (1); s \rightarrow (3)$

Multiple choice viscosity option b: engineering physics properties of matter physics

The space between two large horizontal metal plates 6 cm apart, is filled with 
liquid of viscosity 0.8 $N/m^2.$ A thin plate of surface area 0.01 $m^2$ is moved  parallel to the length of the plate such that the plate is at a distance of 2 m  from one of the plates and 4 cm from the other. If the plate moves with a  constant speed of 1 m $s^{-1}$, then

  1. the layer of the fluid, which is having the maximum velocity, is lying mid-way between the plates

  2. the layers of the fluid, which is in contact with the moving plate, is having the maximum velocity

  3. the layer of the fluid, which is in Contact with the moving plate and is on the side of farther plate, is moving with the maximum velocity

  4. the layer of the fluid, which is in contact with the moving plant and is on the Side of nearer plate, is moving with the maximum velocity

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The profile of the velocity of fluid as shown in the figure The velocity of the layer of fluid ,which in contact with metal plates (fixed), is zero. As we move towards the centre from either plate the velocity of the layer of fluid increases and it becomes maximum at the location of moving plate. This maximum value is same as that of the velocity of plate

Multiple choice viscosity option b: engineering physics properties of matter physics

A solid ball of density half that of water falls freely under gravity from a height of 19.6 m and then enters the water. Up to what depth will the ball go? How much time will it take to come again to the water surface. Neglect air resistance and viscosity effects in water. ($
g=9.8 \mathrm{ms}^{-2}
$)

  1. 4 s

  2. 8 s

  3. 6 s

  4. 2 s

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The ball falls 19.6 m, reaching velocity v = sqrt(2gh) = sqrt(2 * 9.8 * 19.6) = 19.6 m/s. In water, the buoyant force exceeds gravity (density is half of water), so it decelerates. The time to stop and return is calculated using the effective acceleration in water.

Multiple choice viscosity option b: engineering physics properties of matter physics

A spherical ball of radius $3\times 10^{-4}\ m$ and density $10^{4}\ kg\ m^{-3}$ falls freely under gravity through a distance $h$ before entering a tank of water. If after entering the water, the velocity of the ball does not change, then the value of $h$ is (Given, $viscosity >of> water=9.8\times 10^{-6}\ Nsm^{-2}$ and $\rho _{water}=10^{3}\ kgm^{-3}$)

  1. $1650\ m$

  2. $165\ m$

  3. $1050\ m$

  4. $105\ m$

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

If the velocity does not change upon entering water, the drag force must balance the net weight in water. F_drag = (m_ball - m_displaced) * g. Using Stokes' Law for F_drag and equating, we solve for the velocity v, then use v^2 = 2gh to find h.

Multiple choice archimedes' principle fluid pressure properties of matter physics

A rectangular block is $10\ cm \times 10\ cm \times 15\ cm$ in size is floating in water with $10\ cm$ side vertical. If it floats with $15\ cm$ side vertical, then the level of water will

  1. $Rise$

  2. $Fall$

  3. $Remain\ same$

  4. $Change\ according\ to\ density\ of\ block$

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

According to Archimedes' principle, a floating object displaces a weight of fluid equal to its own weight. Since the weight of the block remains constant regardless of its orientation, the weight (and thus the volume) of the water displaced remains the same, so the water level does not change.

Multiple choice archimedes' principle fluid pressure properties of matter physics

A boat having some iron pieces is floating in a pond. If iron pieces are thrown in the liquid then level of liquid 

  1. Increases

  2. Decreases

  3. May increase or decrease

  4. Neither increases nor decreases

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When the iron pieces are in the boat, they displace a volume of water equal to their weight divided by the density of water. When thrown into the water, they sink and displace only a volume of water equal to their own volume. Since the density of iron is much greater than that of water, the volume displaced when submerged is less than the volume displaced when floating, causing the water level to decrease.

Multiple choice archimedes' principle fluid pressure properties of matter physics

A coil of wire of cross-section$0.50$ $m m ^ { 2 }4$ weighs $75g$ in air and $65g$ in water. The length of the coil in cm is

  1. $\frac { 10 ^ { 2 } } { 50 }$

  2. $\frac { 10 ^ { 2 } } { 0.50 }$

  3. $\frac { 10 ^ { 5 } } { 50 }$

  4. $\frac { 10 ^ { 5 } } { 0.0050 }$

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The loss in weight in water equals the buoyant force, which is the weight of the displaced water. Using density of water (1 g/cm^3), the volume of the coil is 10 cm^3. Given the cross-section of 0.5 mm^2 (0.005 cm^2), the length is Volume/Area = 10 / 0.005 = 2000 cm, which matches 10^5 / 50.

Multiple choice archimedes' principle fluid pressure properties of matter physics

A hollow metal container floats in water, because it displaces _____ weight of water than/as its own weight.

  1. more

  2. less

  3. same

  4. can't say

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

FALSE
If hollow metal container  displaces more weight of water than its own weight it will sink.
Because, we know that by Archimedes principle, the weight of water displaced should be equal to the weight of the part submerged in water. If the weight is greater than the weight of the object, it will sink.

Multiple choice archimedes' principle fluid pressure properties of matter physics

A piece of ice floats in a liquid denser than water.The liquid fills the vessel upto the edge. If ice melts completely then:

  1. water level remains unchanged

  2. water level decreases

  3. water overflows

  4. data is insufficient

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Density of ice is less than that of water. If it melts it becomes water. But still, the density of liquid is greater than water therefore, water remains on top and thus it floats and then overflows.

Multiple choice archimedes' principle fluid pressure properties of matter physics

State whether the given statement is True or False :

When submerged, a $3N$ block appears to weigh only $1N$. The missing weight is equal to the weight of the water.

  1. True

  2. False

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Objects weigh more in air than in water. When submerged, the 3 N block appears to weigh only 1 N. The missing weight is equal to the weight of the water displaced. The 2 N weight is equal to the buoyant force.
That is, Loss in weight of body = Weight of water (liquid) displaced by the body = Buoyant force or upthrust exerted by water (any liquid) on the body.