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Work and Energy Test - 20

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Work and Energy Test - 20
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  • Question 1
    1 / -0
    The practical unit for the measurement of electric power is:
    Solution
    • SI unit of power is $$J/s \ (watt).$$
    • Watt can be represented as $$kilowatt \ (10^3$$watt).
    • Kilowatt hour is unit of energy (or watt sec, Kilowatt can be changed to watt and hour to sec) so this is unit of energy.
    • Horsepower is similarly another unit of power. But it is not very convenient to use since we are using the SI units of energy (joules) and time (seconds) to calculate power. We will have to divide the result by $$746$$ to obtain power in Horsepower. $$(\because 1 \ HP=746 \ W)$$

    So, the best possible answer is watt, i.e. option A.
  • Question 2
    1 / -0
    An agent does $$4$$ J of work in $$2$$ s. Find the power of the agent.
    Solution
    Given: Work done $$W=4\ J$$, time $$t=2\ s$$
    We know that $$Power=\dfrac{Work}{Time}=\dfrac{4}{2}=2\ W$$
  • Question 3
    1 / -0
    Which of the following will lead to a change in kinetic energy of a body?
    Solution
    Kinetic energy of the body  $$K = \dfrac{1}{2}mv^2$$
    $$\implies$$  $$K \propto m$$  and  $$K \propto v^2$$
    Thus changing either the mass of the body or its velocity will lead to a change in kinetic energy of a body.
  • Question 4
    1 / -0
    What is potential energy?
    Solution
    The potential energy is the stored energy of an object due to its position.
    some examples of potential energies are gravitational potential energy, Electrostatic potential energy and elastic energy etc.
    A body placed at ground will have less gravitational potential energy than a body placed at some height. therefore, potential energy changes by changing the position of object. Hence, Option A is correct.
  • Question 5
    1 / -0
    Which of the following is NOT a correct unit for work?
    Solution
    Option A
    erg- It is the unit of work in CGS system

    Option B- 
    Watt- It is the unit of power which work per unit time

    Option C- 
    joule- It is the unit of work in MKS system in terms of energy

    Option D-
    Nm- Newton meter is the unit of work in terms of force and displacement.
  • Question 6
    1 / -0
    Unit of work is
    Solution
    Work is defined as the  product of force applied and the displacement of the object multiplied by the $$cos$$ of angle between the force applied and the displacement.
    Work done  $$W = F s \cos\theta$$

    SI unit of work is Joule $$(J)$$.
  • Question 7
    1 / -0
    If Rahul has done the same amount work in less time compared to Rohan then: 
    Solution
    The relation between power P and work W is given by $$P=W/t$$,   where, $$t$$ be the time
    For same amount of doing work, Power $$P\propto \dfrac 1t$$
    $$\because$$ Rahul is taking less time in compare to Rohan so, Rahul has more power.
    Option A
  • Question 8
    1 / -0
    SI unit of electrical energy is
    Solution
    SI unit of electrical energy is Joule.
    $$1  Joule = 1 Volt \times 1 ampere \times 1 second$$
  • Question 9
    1 / -0
    What is kinetic energy?
    Solution
    Correct Option: A
    Explanation: The energy which a body possesses by virtue of being in motion is called as kinetic energy. If we want to stop a moving body then we must do some work on the body to stop it which means that a moving body possesses energy because of motion.
    If an object of mass $$m$$ moving with the velocity $$v$$, The kinetic energy is defined as,
    $$K.E. = \dfrac{1}{2}mv^2$$
    Hence, Option A is correct.
  • Question 10
    1 / -0
    A body at rest can't have
    Solution
    Given, A body is in rest, its mean that $$v=0$$
    Momentum $$P=mv=m\times 0=0$$
    Kinetic energy $$K.E=\dfrac12 mv^2=\dfrac12m\times 0^2=0$$
    Hence, Momentum and Kinetic energy of body will be zero when it is in rest.
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