Tag: learning how to measure

Questions Related to learning how to measure

The volume of water in a measuring cylinder is 55 mL When a stone tied to a string is immersed in the water the water level rises to 83 mL. Find the volume of the stone

  1. $28ml^2$

  2. $28ml$

  3. $38ml$

  4. $28m^2l$


Correct Option: B
Explanation:
Initial level of water  $v _i = 55 \ ml$
Final level of water  $v _f = 83  ml$
Volume of stone  $V _{stone} = V _f - V _i = 83 - 55 = 28 \ ml$

 In a given system of units, the ratio of unit of volume to that of its area gives 

  1. Density

  2. Length

  3. Mass

  4. Decibel


Correct Option: B
Explanation:

SI Unit of volume is $m^3$ 

Unit of area is $m^2$
So $\dfrac{Volume}{area}=m^3/m^2=m$, that's the unit of length 

A cubic metre of water at $0^o$C is solidified into ice, density of ice is $0.96$ of water at $0^o$C. Which of the following deductions are true?
$1$. Water expands when solidified.
$2$. Ice will float in water at $0^o$C with half its volume above the surface.
$3$. Density of all liquids are higher than its density when solidified.

  1. $3$ only

  2. $2$ only

  3. $1$ only

  4. $1$ and $2$


Correct Option: C

A cubical block of wood of specific gravity $0.5$ and a chunk of concrete of specific gravity $2.5$ are fastened together. The ratio of mass of wood to the mass of concert which makes the combination to float with its entire volume submerged in water is 

  1. $1/5$

  2. $1/3$

  3. $3/5$

  4. $2/5$


Correct Option: A

The mass of 0.5 litre of hydrogen gas at NTP will be approximately

  1. 0.0892 g

  2. 0.045 g

  3. 2 g

  4. 22.4 g


Correct Option: B
Explanation:

$PV=mRT$

Under NTP 
 $P=10^5N/m,\ V=0.5L=0.5\times10^{-3},\ T=298K,\ R=8300/2$

$\Rightarrow 10^5\times 0.5\times 10^{-2}=m\times 8300\times 298/2$
$\Rightarrow m=0.042\ g$

The space occupied by the object is called ....................... .

  1. Area

  2. Mass

  3. density

  4. Volume


Correct Option: D
Explanation:

Volume of the object is defined as the space occupied by the object.

Mass per unit volume is ....................... .

  1. Density

  2. Mass

  3. Volume

  4. All of the above


Correct Option: A
Explanation:
Density of object is defined as the mass of the body per unit is volume.
$Density = \dfrac{Mass}{Volume}$

Express $1  ml $ in $m^3$.

  1. $10^{-3}$

  2. $10^{-6}$

  3. $10^{-9}$

  4. None of the above


Correct Option: B
Explanation:

$1ml=10^{-3}L=10^{-3}\times10^{-3}m^3=10^{-6}m^3$

1 liter = ______cm$^3$

  1. 100

  2. 1000

  3. 10

  4. 1


Correct Option: B
Explanation:

We know that: $1 m^3=1000\ liter$

Aslo, $1m^3=10^6cm^3$
$1000\ liter=10^6 cm^3$
$1\ liter=1000\ cm^3$

1 cm$^3=$ ______ ml

  1. 1

  2. 10

  3. 0.1

  4. 100


Correct Option: A
Explanation:

We know that $1 m^3=1000\ liter=1000\times 1000ml$

Aslo $1m^3=10^6cm^3$
So, $10^6 cm^3=1000\times 1000 ml$
$\Rightarrow 1 cm^3=1ml$