Tag: fundamental and derived units

Questions Related to fundamental and derived units

Unit of gravitational potential energy is ______.

physics measurements and units some examples of derived units fundamental and derived quantities fundamental and derived units

  1. $J/s$

  2. $Js$

  3. $Nm$

  4. $N/m$

Show answer
Correct Option: C
Explanation:

Gravitational Potential Energy, $U=mgh$


    $ =kg\times ms^{-2}\times m$


     $= Nm$    $ (kgms^{-2} =N)$

The $SI$ unit of specific heat capacity is $J\ kg^{-1}K^{-1}$.
What is the unit of specific heat capacity expressed in $SI$ base units?

physics measurements and units some examples of derived units fundamental and derived quantities fundamental and derived units

  1. $ms^{-2}K^{-1}$

  2. $kgms^{-2}K^{-1}$

  3. $m^{2}s^{-2}K^{-1}$

  4. $kg m^{2}s^{-2}K^{-1}$

Show answer
Correct Option: C
Explanation:
we know that J is the unit of work done 
So,
$J = kgm^2s^{-2} $
$\implies Jkg^{-1}K^{-1}= kgm^2s^{-2} \times kg^{-1}K^{-1}$
$\implies Jkg{-1}K^{-1}= m^2s^{-2}K^{-1}$
 
So, option C is correct answer.

Which of the following is a derived physical quantity?

physics measurements and units some examples of derived units fundamental and derived quantities fundamental and derived units

  1. Mass

  2. Velocity

  3. Length

  4. Time

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Correct Option: B
Explanation:

Mass, Length & Time are fundamental physical quantity while velocity is derived physical quantity.

Temperature can be expressed as derived quantity in terms of the following

physics measurements and units some examples of derived units fundamental and derived quantities fundamental and derived units

  1. Length and mass

  2. Mass and time

  3. Length, mass and time

  4. None of these

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Correct Option: D
Explanation:

Temperature is one of the basic (fundamental) physical quantities.

What is C.G.S unit of density?

physics measurements and units some examples of derived units fundamental and derived quantities fundamental and derived units

  1. $g cm^{-3}$

  2. $g m^{-3}$

  3. $g cm^{-2}$

  4. $kg m^{-3}$

Show answer
Correct Option: A
Explanation:

CGS. units of density. is $g cm^{-3}$ where as in MKS unit it is $kg/m^3$.

Newton is the unit of which quantity.

physics measurements and units some examples of derived units fundamental and derived quantities fundamental and derived units

  1. Acceleration

  2. Force

  3. Mass

  4. Gravity

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Correct Option: B
Explanation:

We get Kilogram metre per second as the MKS units of force.

In the honor of famous scientist Sir Isaac Newton this unit is also called Newton. Hence newton is the SI unit of force.

One horse power is equal to

physics measurements and units some examples of derived units fundamental and derived quantities fundamental and derived units

  1. $1000  W$

  2. $500  W$

  3. $764  W$

  4. $746  W$

Show answer
Correct Option: D
Explanation:

$1$ $hp = 745.699872 W$. 

Approximately it will be $746  W$.

Which of the following is derived units of work?

physics measurements and units some examples of derived units fundamental and derived quantities fundamental and derived units

  1. kg m$^2$ s$^{-2}$

  2. kg m$^2$ s$^{2}$

  3. kg m$^2$ s$^{-3}$

  4. kg m$^2$ s$^{-1}$

Show answer
Correct Option: A
Explanation:

Work done by a force   $W = FS$
Units of work   $W = kg.ms^{-2}\times m = kg \ m^2 \ s^{-2}$

Write the derived S.I units of force.

physics measurements and units some examples of derived units fundamental and derived quantities fundamental and derived units

  1. $Newton$

  2. $Pascal$

  3. $Mass$

  4. $Dyne$

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Correct Option: A
Explanation:

The newton (symbol: N) is the International System of Units (SI) derived unit of force which is equivalent to $kg  m  { s }^{ -2 }$

How is the following derived unit related to the fundamental units?

1) joule

physics measurements and units some examples of derived units fundamental and derived quantities fundamental and derived units

  1. $N m$$ s^{-1}$

  2. $Nm$

  3. $kg m$$^2 s^{-1}$

  4. $kg m$$^2 s^{-2}$

Show answer
Correct Option: D
Explanation:

1 joule (or 1J) is expressed in other SI units as $kg  { m  }^{ 2 } { s }^{ -2 }$