Tag: idea of energy

Questions Related to idea of energy

The force acting on a 4gm mass in the energy region ${ U=8x }^{ 2 }$ at x= -2 cm is :

  1. 8 dyne

  2. 4 dyne

  3. 16 dyne

  4. 32 dyne


Correct Option: D
Explanation:

Given,

$m=4gm$
$U=8x^2$

The force acting on mass $m$ in the potential energy $U$  at $x=-2cm$ will be

$F=-\dfrac{dU}{dx}$
$F=-\dfrac{d(8x^2)}{dx}$
$F=-16x$
$|F| _{x=-2cm}=-16\times(-2)=32dyne$
The correct option is D.



Which of the following pairs represent units of the same physical quantity?

  1. kelvin and joule

  2. kelvin and calorie

  3. newton and calorie

  4. joule and calorie


Correct Option: D
Explanation:

joule and calorie are both units of energy .
$1\  joule = 0.24 \ calories$

What is the equivalent of $1$ joule in calorie?

  1. $0.24$

  2. $2.4$

  3. $24$

  4. $240$


Correct Option: A
Explanation:
$1 joule = 1/4.18 \ cal= 0.24 \ calorie$

Name the quantity which is measured in $Wh$.

  1. Force

  2. Power

  3. Energy

  4. All the above


Correct Option: C
Explanation:

We know that $ power = work/ time$.

Power has unit $W$ and time can have either seconds or minutes or hours.Hence work can have either $W\ min$ or $Wh$ or $Ws$. We in general consider work is nothing but energy. Hence energy can have unit $Wh$.

A certain household has consumed $250$ units of energy during a month. How much energy is this in joule ?

  1. $9 \times 10^8:J $

  2. $10 \times 10^8:J $

  3. $9 \times 10^7:J $

  4. $9 \times 10^{-8}:J $


Correct Option: A
Explanation:

Energy consumed in a month
$=250 : units = 250 : kWh$
$= 250 \times 3.6 \times 10^6 = 9 \times 10^8:J $

Kilowatt-hour ($kWh$) represents the unit of :

  1. power

  2. impulse

  3. momentum

  4. none of these


Correct Option: D
Explanation:

The kilowatt-hour ($kWh$) is a unit of energy equivalent to one kilowatt ($1\  kW$) of power expended for one hour ($1\  h$) of time.


State whether the given statement is True or False :
Kilowatt hour is the unit of power.
  1. True

  2. False


Correct Option: B
Explanation:

False
because,The kilowatt-hour (kWh) is a unit of energy equivalent to one kilowatt (1 kW) of power expended for one hour (1 h) of time.

The commercial unit of measurement energy is 

  1. Watt -Hour

  2. Kilowatt

  3. Kilowatt hour

  4. Megawatt


Correct Option: C
Explanation:

The commercial unit of measurement energy is Kilowatt hour.

The power supply in our home is measured in Kilowatt hour units.

$1\ kW$ is equal to :

  1. $1000\ watt$

  2. $10^{-3}\ mega\  watt$

  3. $A$ and $B$ both

  4. neither $A $ nor $B$


Correct Option: C
Explanation:

$1000\ W= 1\ kW$
$1000 \ kW= 1\ MW$

The unit kWh represents

  1. power

  2. momentum

  3. energy

  4. force


Correct Option: C
Explanation:

This is unit of energy.If the energy is being transmitted or used at a constant rate over a period of time, the total energy in kilowatt hours is the power in kilowatts multiplied by the time in hours.