Tag: fundamental and derived units

Questions Related to fundamental and derived units

Which of the following units is a unit of power?

  1. Kilowatt hour

  2. Watt

  3. Erg

  4. Calorie


Correct Option: B
Explanation:

Among the given units watt is the unit of power whereas all others are the units of energy.

Spot out the odd one.

  1. calorie

  2. kilowatt hour

  3. joule

  4. watt


Correct Option: D
Explanation:

Calorie, kilowatt hour, joule all are the units of energy whereas watt is the unit of power.

The unit of power is:

  1. $Kilowatt$

  2. $kWhv$

  3. $dyne$

  4. $joule$


Correct Option: A
Explanation:

Power is defined as the work done per unit time. So to get the SI unit of power :

$Power=\dfrac{Work}{Time}$

SI unit of Work $=$ Joules

SI unit of Time $=$ second

So S.I. unit of power $=\dfrac{Joule}{Second}=Watt$

$1000\,Watt=1\,Kilowatt$

The velocity of a particle is given as $v = a + b t + c t ^ { 2 }$ .the velocity is measured in $\mathrm { ms } ^ { - 1 }$ , then units of a and c are

  1. $m s ^ { - 1 } \text { and } m s ^ { - 3 }$

  2. $m s ^ { - 2 } \text { and } m s$

  3. $m ^ { 2 } s \text { and } m s ^ { 2 }$

  4. $m s \text { and } m s ^ { - 1 }$


Correct Option: A
Explanation:

The magnitudes of physical quantities can be added together or subtracted from one another only if they have the same dimensions. 

$[a]=[u]=ms^{-1}$

$[ct^2]=[v]=ms^{-1}$

$[c]=[\dfrac{v}{s^2}]=ms^{-1-2}$

$[c]=ms^{-3}$
Option A

Three of these quantities have the same unit. Which quantity has a different unit ?

  1. $\dfrac{distance}{energy}$

  2. $force$

  3. $power\times time$

  4. rate   of change of momentum


Correct Option: A

Pascal is a unit of 

  1. Pressure

  2. Force

  3. Linear momentum

  4. Energy


Correct Option: A
Explanation:

The pascal $(Pa)$ is the SI derived unit of pressure used to quantify internal pressure, stress, Young's modulus and ultimate tensile strength. The unit, named after Blaise Pascal, is defined as one newton per square metre.

The unit of $\dfrac{d^{2}y}{dx^{2}}$ is [where y is energy and x is distance]

  1. $\dfrac{J^{2}}{m^{2}}$

  2. $\dfrac{J^{2}}{m}$

  3. $\dfrac{J}{m}$

  4. $\dfrac{J}{m^{2}}$


Correct Option: D

Curie is the unit of 

  1. decay constant

  2. radio-activity

  3. half-life

  4. average life


Correct Option: B
Explanation:

We measure the intensity of radioactive emission by  number of atoms that get transformed to new atoms per unit time. 
Curie(Ci) is the standard unit used for measuring radio-activity.
Curie is defined as the emission rate of 1g of radium which is equal to $3.7 \times 10^{10}$ transformations per second.

The magnetic moment of electron is :

  1. $ 9.27\times 10^{-24} $ Joule/Tesla

  2. $ 9.27\times 10^{-24} $ Tesla/Joule

  3. $ 9.27\times 10^{-23} $ Joule/Tesla

  4. $ 9.27\times 10^{-23} $ Tesla/Joule


Correct Option: A
Explanation:

Electrons spinning on their axes are magnetic dipoles that may or may not cancel out each other depending on the type of dipole.
We measure the  magnetic moment of electron in Joule / Tesla.
The value of magnetic dipole of an electron is $9.27 \times 10^{-24}$ Joule/Tesla.   

The kilowatt hour is a unit of energy.

  1. True

  2. False


Correct Option: A
Explanation:

The kilowatt-hour ( kWh) is a unit of energy equal to 3600 kilojoulesThe kilowatt-hour is a composite unit of energy equal to one kilowatt (kW) of power sustained for one hour.