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Work and Energy Test - 17

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Work and Energy Test - 17
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Weekly Quiz Competition
  • Question 1
    1 / -0
    Complete the following sentence:
    The kinetic energy of a body is the energy by virtue of its______ .
    Solution
    The kinetic energy of a body is the energy by virtue of its motion. This is the definition of kinetic energy. If it has motion then it will have velocity, hence kinetic energy exists.

    $$ K.E = \dfrac{1}{2}mv^2 $$
  • Question 2
    1 / -0
    Which one of the following is not the unit of energy?
    Solution
    $$\textbf{Hint:}$$ Use the relation between energy and power.
    $$\textbf{Explanation :}$$
    • If Watt is unit of power then kilowatt is also the unit of power.
    • Work done = Force ×× Distance = Newton - metre, Therefore it is the unit of Work or Energy.
    • Energy = Power ×× time = kilowatt - hour, in fact it is the commercial unit of Energy.

  • Question 3
    1 / -0
    An electric heater is rated $$1500 \ W$$. How much energy does it use in $$10 \ hours$$ ?

    Solution

    Correction option: C

    Hint: Energy consumed = Power × Time

    Explanation for correct option:

    Step 1: Find the energy consumes by the electric heater.

    Power rating of the heater (P) = 1500

    P= 1.5 kW = 1500 W

    Time for which the heater has operated (T) = 10 h

    Work done = Energy consumed by the heater

    Energy consumed = Power × Time

    Energy consumed = 1500 × 10

    Energy consumed = 15000 W

    Hence, the energy consumed by the heater in $$\bf{10 h}$$ is $$\bf{15 kWh}$$.

  • Question 4
    1 / -0
    A body at maximum height possesses:
    Solution
    Potential energy is an energy that an object possesses because of its position. So at the highest position, its potential energy is maximum.
  • Question 5
    1 / -0
    An electric lamp is marked $$60\ W,\ 220\ V$$. The cost of kilo watt hour of electricity is $$Rs.\ 1.25$$. The cost of using thing lamp on $$220\ V$$ for $$8\ hrs$$ is:
    Solution
    Given:
    Power, $$P=60\ W$$
    Time, $$t=8\ hrs$$

    Energy consumed per day, $$E=Pt=60\times 8=480\ Whr=\dfrac{480}{1000}=0.48\ kW hr$$
    Hence total cost, $$C=0.48\times 1.25=Rs. 0.60 $$
  • Question 6
    1 / -0
    The ratio of the total work done or total energy consumed to the total time taken is called:
    Solution
    The average power is the average amount of work done or energy transferred per total time.
    $${P}_{average}=\dfrac{total \  work\   done}{total  \ time\   taken}$$

  • Question 7
    1 / -0
    When a work of 1 joule is done in 1 s, the power is:

    Solution
    One watt is defined as the energy consumption rate of one joule per second. $$1W = 1J / 1s$$.
  • Question 8
    1 / -0
    The SI unit of energy is:
    Solution
    As energy is defined via work so,the SI unit for energy is the same as the unit of work that is joule (J)

  • Question 9
    1 / -0
    1 kilowatt hour $$=$$ ___________ .
    Solution
    $$1\ watt = 3600\ joule$$
    $$1\ kW = 1000\ watt$$
    $$1\ h=60\times 60 = 3600\ s$$
    $$1\ kWh= 1\ kW\times 1\ hour=1000\ W\times 3600\ s = 1000 \times 3600 joule = 3.6 \times 10^{6}\ J$$
  • Question 10
    1 / -0
    Find the energy in $$kWh$$ consumed in $$10$$ hours by four devices of power $$500\ W$$ each.
    Solution

    Hint: Calculate the energy consumed by each device.

    Correct answer is an option (C).

    Step 1: Calculate energy consumed by each device
    The power of each device is $$500W$$.
    The time for which each device is used is $$10hr$$
    Energy consumed by each device $$=500\times 10$$=$$5000Wh$$
                                                                = $$5kWh$$

    Step 2: Calculate energy consumed by four devices.
    Energy consumed by one device $$=5kWh$$
    Energy consumed by four devices $$=5\times 4$$
                                                               $$=20kWh$$

    Hence, the energy consumed by four devices in $$kWh$$ is $$20kWh$$.
    The correct answer is an option (C).
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