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Work and Energy Test - 39

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Work and Energy Test - 39
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  • Question 1
    1 / -0
    A lamp rated $$20W$$ and an electric iron rated $$50W$$ are used for $$2$$ hour everyday. Calculate the total energy consumed in $$20 $$ days.
    Solution
    Energy consumed by lamp in 2 hour     $$E_l = 0.02\times 2 = 0.04$$ kWh per day
    Energy consumed by iron in 2 hour     $$E_i = 0.05\times 2 = 0.1$$ kWh per day
    $$\therefore$$ Total energy consumed by both appliance in $$20$$ days,
    $$E_T = (E_l+E_i)\times 20 = (0.04+0.1)\times 20 = 2.8$$ kWh
  • Question 2
    1 / -0
    Number of KWh in 1 Joule.
    Solution
    We know that $$KWh$$ is kilo watt-hour-
    In SI unit-
    $$K = 10^3$$
    $$hour = 3600\ s$$
    $$1\ kWh  = 3.6\times 10^6\ J$$
    $$\therefore$$  $$1$$ $$J = \dfrac{1}{3.6\times 10^6} = 2.77\times 10^{-7}$$ $$kWh$$
  • Question 3
    1 / -0
    Which of these units of energy is the largest?
    Solution
    Energy is the ability to do work.
    $$1\ {calorie} = 4.186\ J$$
    $$1\ erg= 1\times 10^{-7}\ J$$
    $$1\ kWh=3.6\times 10^{6}$$ $$J$$
    $$1\ kilowatt-hour$$ is the largest unit of energy.
  • Question 4
    1 / -0
    In which form, the energy is stored in a fuel?
    Solution
    Chemical energy is energy stored in the bonds of atoms and molecules. Batteries, biomass, petroleum, natural gas, and coal are examples of chemical energy. Chemical energy is converted to thermal energy when people burn wood in a fireplace or burn gasoline in a car's engine.
  • Question 5
    1 / -0
    Which one of the following energies cannot be possessed by a body at rest?
    Solution
    Kinetic energy is possessed by a body by virtue of its state of motion. So, a body at rest cannot possess kinetic energy. A body at rest will possess potential energy. Thermal and magnetic energies are irrespective of state of rest or of motion of a body.
  • Question 6
    1 / -0
    A freely falling object eventually stops on reaching ground. What happens to its potential and kinetic energy while falling?
    Solution
    When an object release from a certain height then it starts to move toward the earth. During its motion, work is done by gravity along the direction of motion. Hence kinetic energy of the object started to increase. 
    Also, Potential energy is a function of height, so when the height of an object decreases, its potential also decreases. 
    Hence Option A.  
  • Question 7
    1 / -0
    What is practical unit of power?
    Solution
    Practical unit of power is horse power $$\left(hp\right)$$.
    $$1\  hp = 746  W$$ , where $$W$$ is Watt (the SI unit of power).
  • Question 8
    1 / -0
    A certain household has consumed $$250$$ units of energy during a month. How much energy is this in joules?
    Solution
    Hint: Conversion of KWh to joule.

    Step 1: Commercial unit of energy is KWh.

                 $$1\; KWh = 10^3\; W = 10^3\; JS^{-1}$$

                  $$1\;hr = 60\times60 = 3600\;sec$$
                  
                Therefore, $$1\;KWh = 1\; KW \times1\;hr$$
                                                  $$=10^3 \times 3600$$
                                                  $$=3.6 \times 10^6 \;J$$

    Step 2: Calculation according to question

                  Energy consumption $$=250\;KWh$$
                                                      $$= 250\times3.6\times10^6\;J$$
                                                      $$=900\times10^6\;J$$
                                                      $$=9\times10^8\;J$$   or   $$900\;MJ$$

    Hence, Option (B) is correct.


  • Question 9
    1 / -0
    Find energy in kWh consumed in 10 hours by four devices of power $$500\ W$$ each?
    Solution
    Hint:
    Power is the ratio of the work and the time. Energy consumed in four devices is four times the energy consumed in one device.

    Step 1: Given data

    Power consumed by each device, $$P=500\ W=0.50\ kW$$

    Time, $$t=10\ h$$

    Expression for the energy consumed is written as,

    $$W=P\times t$$


    Step 2: Calculations,

    Energy consumed by each device, $$W=0.50 \times 10 = 5kWh$$

    Energy consumed by four devices, $$ = 4 \times 5 = 20\ kWh$$

  • Question 10
    1 / -0
    Smallest commercial unit of energy is
    Solution
    Smallest commercial unit of energy is called Watt hour $$(Wh)$$. One watt hour is the energy consumed when $$1 \ watt$$ of power is used for $$1 \ hour.$$
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