Tag: properties of matter

Questions Related to properties of matter

Multiple choice archimedes' principle fluid pressure properties of matter physics

A cube of wood supporting $200 \mathrm { gm }$ mass just floats in water in fully submerged state. When the mass is removed cube rises by $2 \mathrm { cm }$ above water level. Find the size of cube? (take $\rho _ { \text { water } } = 1000 \mathrm { kg } / \mathrm { m } ^ { 3 } )$

  1. $10 \mathrm { cm }$

  2. $15 \mathrm { cm }$

  3. $20 \mathrm { cm }$

  4. $30 \mathrm { cm }$

Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice archimedes' principle fluid pressure properties of matter physics

A piece of ice is floating in a beaker containing thick sugar solution of water. As the ice melts, the total level of the liquid:

  1. increases

  2. decreases

  3. remains unchanged

  4. insufficient data

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

Let $\rho $=density of sugar solution $> \rho _{w}$
m=mass of ice.
In floating condition weight=upthrust
$\therefore $   $mg=V _{I}\rho g$
or $\displaystyle V _{I}=\frac{m}{\rho }$          (i)
When ice melts, m mass of ice becomes m mass of water. Volume of this water formed.
$\displaystyle V _{F}=\frac{m}{\rho _{w}}$          (ii)
Since $\rho _{w}< \rho $, $V _{F}> V _{I}$. Hence level will increase.

Multiple choice archimedes' principle fluid pressure properties of matter physics

A boat full of scrap iron is floating on water in a lake. If all the iron is dropped into the water, the level of water will:

  1. go up

  2. fall down

  3. remain the same

  4. Can not be decided.

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
According to Archimedes' principle, any body completely or partially submerged in a fluid at rest is acted upon by an upward, or buoyant force,the magnitude of which is equal to the weight of the fluid displaced by the body
As boat filled with scrap iron is floating on lake, buoyant force acting on boat is more than its weight.
                                              $F _b > W _b + W _{fe}$
since,                                    $W _b<W _b +W _{fe}$
therefore,level of water will fall down across the boat.
Multiple choice archimedes' principle fluid pressure properties of matter physics

If a piece of wood just floats in water. What happens to it in ethanol?

  1. It floats higher

  2. It stays as before

  3. It sinks

  4. First sinks and then rises

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

At room temperature and standard pressure, the first family of alcohol (methanol, ETHANOL and iso-propyl) all have densities of about 0.79g/cc compare to water at the same conditions with a density of 1.0g/cc.

Since the density of ethanol is less than the density of water so, when a piece of wood which is just floating in water is placed in ethanol, sinks.

Multiple choice archimedes' principle fluid pressure properties of matter physics

Which of the following instrument is used to measure the volume of a solid by water displacement ?

  1. Thermometer

  2. Graduated cylinder

  3. Buret

  4. Salt bridge

  5. Conductivity tester

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

Graduated cylinder  is used to measure the volume of a solid by water displacement. The volume of water displaced will be equal to the volume of the solid.

Multiple choice archimedes' principle fluid pressure properties of matter physics

A boat is floating on the surface of water in a tank carrying steel balls. If the balls are thrown into the tank one by one, how will it affect the level of water?

  1. It will rise

  2. It will fall

  3. It will remain unchanged

  4. First it will rise and then fall

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

When the balls are in the boat, they displace water equal to their weight. When thrown into the tank, they displace water equal to their volume. Since the density of steel is much greater than water, the volume of water displaced when submerged is less than the volume of water displaced when floating, causing the water level to fall.

Multiple choice archimedes' principle fluid pressure properties of matter physics

A dog is sitting in a boat which is floating in a pond. If the dog drinks some water from the pond then:

  1. the level of water in the pond decreases

  2. the level of water in the pond increases

  3. the level of water in the pond first increases, then decreases

  4. the level of water in the pond remains unchanged

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

There Will be no change in the water level of the pond, as the water which was drawn from the pond went to the man's body, thereby increasing his weight. So the decrease in level of water will be compensated by volume displaced by increase in weight of the man.

Therefore option $D$ is correct.

Multiple choice archimedes' principle fluid pressure properties of matter physics

A vessel completely filled with water is weighed. This vessel will weigh ________ after a wooden block is gently moved into the water until it stays in equilibrium while any displaced water is removed.

  1. More

  2. Same

  3. Less

  4. None of the above

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

False because the liquid displaced has the same weight as the wooden block has The weight of the displaced liquid from the vessel is same as the weight of the wooden block.
Hence,  the weight will remain the same.

Multiple choice archimedes' principle fluid pressure properties of matter physics

A sphere is floating in water its $\dfrac{1}3rd$ part is outside the water and when the sphere is floating in unknown liquid, it's $\dfrac {3}{4}th$ part is outside the liquid than the density of the liquid is

  1. $\dfrac{4}9\ gm/cc$

  2. $\dfrac{9}4\ gm/cc$

  3. $\dfrac{8}3\ gm/cc$

  4. $\dfrac{3}8\ gm/cc$

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

volume of liquid inside the liquid1=2/3rd of total volume

volume of liquid inside the liquid2 = 1/4th of total volume

density of liquid= (2/3)/(1/4) = 8/3 g/cc

Multiple choice archimedes' principle fluid pressure properties of matter physics

A boat carrying steel balls is floating on the surface of water in a tank.If the balls are thrown into the tank one by one , how will it affect the level of water :

  1. It will remain unchanged

  2. It will rise

  3. It will fall

  4. First it will raise and then fall

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

Since the weight remains constant & so does buoyant force on a floating body. Hence there will be no change in level of water.