Tag: idea of energy

Questions Related to idea of energy

Which of the following is different from the others?

  1. Joule

  2. Kilowatt hour

  3. Erg

  4. Watt


Correct Option: D
Explanation:

Joule, kilowatt Hour and Ergs are different units of the physical quantity Energy.


Watt is a unit of Power

Hence, Option D is correct

Number of kilowatt-hours = $\displaystyle \frac{volt \times ampere \times  \,...........}{1000}$

  1. time in seconds

  2. time in minutes

  3. time in hours

  4. time in days


Correct Option: C
Explanation:

Power, $P=VI$

1 kilowatt-hour means $P=1 kW=1000 W$ and time $t=1 hour$
As kWh is the unit of electrical energy so $1 kWh=VIt/1000$. 
Thus, time will be in hour. 

Which of the following is the biggest unit of energy?

  1. Joule

  2. Kilowatt hour

  3. Erg

  4. Electron volt


Correct Option: B
Explanation:

Since, we know that SI unit of energy is represented by Joule. Hence, let us convert all the different units in the form of Joules. 


Option A- 
1 Joule= $1\quad Joule\quad =\quad [kg]{ [\frac { m }{ s } ] }^{ 2 }$

Option B-
$kWh\quad =\quad 1000W\times 3600s\quad =\quad 3600000\quad W\times s$

As we know that 1 Ws = 1 Joule

So 1 kWh= 3600000 Joules

Option C- 
$1\quad Joule\quad =\quad [kg]{ [\frac { m }{ s } ] }^{ 2 }=\quad \left[ 1000\quad gm \right] \left[ \frac { 100\quad cm }{ 1\quad s }  \right] \left[ \frac { 100\quad cm }{ 1\quad s }  \right] \ S0,\quad 1\quad Joule\quad =\quad { 10 }^{ 7 }gm\frac { { cm }^{ 2 } }{ { s }^{ 2 } } \quad =\quad { 10 }^{ 7 }\quad erg\ So,\quad 1\quad erg\quad =\quad { 10 }^{ -7 }Joule$

Option D- 
Electron Volt is the unit of energy in terms of change in energy for one electron in the potential difference of one volt. So, mathematically it is-

$1\quad ev\quad =\quad Charge\quad of\quad one\quad electron\quad \times \quad 1\quad Volt\quad =\quad 1.6\quad \times { 10 }^{ -19 }Coloumb\quad \times \quad 1\frac { Joule }{ Coloumb } \ So,\quad 1\quad ev=\quad =\quad 1.6\quad \times { 10 }^{ -19 }Joule$

Hence, Option B is the largest unit of energy and hence it is practically used in everyday life of electric consumption. 

How many joules are there in one kilowatt hour?

  1. ${35 \times 10 ^6 }$ J

  2. ${3.5 \times 10 ^6 }$ J

  3. ${36 \times 10 ^6 }$ J

  4. ${3.6\times 10 ^6 }$ J


Correct Option: D
Explanation:

As, $1kW=1000W ; 1hr=3600s$
$1kWh=1000Wh=3600000=3.6\times10^6Ws=3.6\times10^6J$

Electron volt is the unit of

  1. energy

  2. potential difference

  3. charge

  4. charge to mass


Correct Option: A
Explanation:

We know that the electrical potential energy of electron $U=eV$ where e is the charge of electron and V be the voltage. So electron volt will be the unit of energy.  

The ratio of SI units to CGS units of energy is

  1. 10$^5$

  2. 10$^6$

  3. 10$^7$

  4. 10$^{-7}$


Correct Option: C
Explanation:

Unit of energy is $ML^2T^{-2}$ 

So in  $CGS$ unit, mass = gram, length = centimeter, time = second.
And in $SI$ unit, mass = kilo gram, length = meter ,time = second.
So ratio of both SI to CGS

=$\dfrac{kg.m^2.s^{-2}  }{g.cm^2.s^{-2}}$

=$\dfrac {1000g.100^2cm^2.s^{-2}}{g.cm^2s^{-2}}$

=$10^7$.

1 horse power is equal to

  1. 740 watts

  2. 746 watts

  3. 648 watts

  4. 748 watts


Correct Option: B
Explanation:

1 horse power is equal to 746 watts.

i.e. $1 \ H.P.=746W$.

1 kWh equals

  1. $ 3.6 \times 10^6 J$

  2. $ 3.6 \times 10^7 J$

  3. $ 3.6 \times 10^8 J$

  4. $ 3.6 \times 10^{-6} J$


Correct Option: A
Explanation:

1 watt is defined as 1 joule/second.

So $1kW = 1000W$, and $1 hour =60 \times 60 seconds $

So $1kWh = 3600kWs = 3,600,000Ws = 3,600,000J$

$1kWh=3.6*{{10}^{6}}J$

One kWh is equal to

  1. $3.6 \times 10^6 J$

  2. $3.6 \times 10^5 J$

  3. $3.6 \times 10^4 J$

  4. $3.6 \times 10^3 J$


Correct Option: A
Explanation:

Watt is defined as joule per second. Kilowatt is $10^3$joule per second and kwh is kilowatt hour $10^3\times60\times60$ 

So 1kwh=$3.6\times10^7$J. 

The number of joules that is equal in value to 1 kWh is.

  1. $3.6\times 10^8$

  2. $0.36\times 10^4$

  3. $3.6\times 10^5$

  4. $3.6\times 10^6$


Correct Option: D
Explanation:

1 kWh is equal to 3.6 $\times$ 10$^{6}$

1 Watt-sec  is a Joule a watt expended for a second.

Because there’s 3600 seconds in an hour,

then 3600 Ws = 1 Wh = 3600 Joules = 3.6 kJ

so 1000 Wh = 1 kWh = 1000 $\times$ 3.6 kJ = 3.6 MJ = 3.6 $\times$ 10$^{6}$