Tag: properties of matter

Questions Related to properties of matter

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


Correct Option: C
Explanation:

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

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


Correct Option: B
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

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


Correct Option: A

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. $105\ m$


Correct Option: A

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


Correct Option: C

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


Correct Option: B

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


Correct Option: C

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


Correct Option: C
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.

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


Correct Option: C
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.

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


Correct Option: A
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.