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Units Measurements and Dimensions Test - 6

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Units Measurements and Dimensions Test - 6
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Weekly Quiz Competition
  • Question 1
    1 / -0
    The unit of gt2 (where g = acceleration due to gravity, and t = time) is equal to the unit of
    Solution
    gt2 = {unit of } × {unit of g} × (unit of t2)

    = no unit × × s2 = m

    = unit of distance
  • Question 2
    1 / -0
    What is the unit of work done in terms of volt, ampere and second?
    Solution


  • Question 3
    1 / -0
    The power of an iron press is 1kW. How many horsepower does it have?
    Solution

  • Question 4
    1 / -0
    Which of the following would not produce the unit of power?
    Solution

  • Question 5
    1 / -0
    Mega-electron-Volt (MeV) is the unit of
    Solution

  • Question 6
    1 / -0
    Consider the following equation:
    A x 2 + Bxy + Cy2 = K (where K is kinetic energy)
    If A has the unit of mass, the unit of x will be
    Solution

  • Question 7
    1 / -0
    Consider the following equation:

    Ax2 + Bxy + Cy2 = K. Where K is Kinetic energy.

    If y = m/s, what will be the unit of C?
    Solution

  • Question 8
    1 / -0
    Consider the following equations:
    Ax2 + Bxy + Cy2 = K (where K is kinetic energy)
    If x and y are dimensionless quantities, the unit of B is
    Solution

  • Question 9
    1 / -0
    Consider the following equation:
    Ax2 + Bxy + Cy2 = K (where K is kinetic energy)
    If A, B and C are real numbers, the unit of
    Solution
    If A is a real number, then it would be a dimensionless quanitity.And by the principle of homogeneity,
  • Question 10
    1 / -0
    Consider the following equation:
    Ax2 + Bxy + Cy2 = K
    If k is a real number and not a physical quantity, which of the following options is correct?
    Solution

  • Question 11
    1 / -0
    Lengths of five objects are given in different units.
    Which option shows the increasing order of the length of the objects?
    Solution

  • Question 12
    1 / -0
    Wheels of a racing car are moving with the angular speed of 628 radian/second. The angular speed (in terms of revolutions per minute) can be written as
    Solution

  • Question 13
    1 / -0
    There are five quantities given below. Choose that quantity, which has the different dimension than others.
    Solution
    Dimension of specific heat is . It is different from other quantities given in the options.
  • Question 14
    1 / -0

    Directions For Questions

    The relation among the quantities F, m, v and r is given as , where F is force acting on an object of mass m moving with velocity v on a circular path of radius r and K is a constant and dimensionless.

    ...view full instructions

    What would be the values of a, b and c in the relationship given above?
    Solution

  • Question 15
    1 / -0
    Which quantity does not belong to the set of fundamental quantities of SI system?
    Solution
    Charge is not a fundamental quantity in SI system.
  • Question 16
    1 / -0
    Find the odd one out.
    Solution
    This unit belongs to the set of units of fundamental quantities in the SI units.
  • Question 17
    1 / -0
    Which quantity does not have the unit equal to ?
    Solution
    Unit of momentum is , and it is not the same unit given in the question.
    So according to the question, this is a correct answer.
  • Question 18
    1 / -0
    Which constant does not have unit?
    Solution
    As all the quantities given in the question have their values and units, so answer is none of the above.
  • Question 19
    1 / -0
    Which one is a dimensionless quantity?
    Solution
    It is dimensionless quantity as it is the ratio of the same quantity.
    .
  • Question 20
    1 / -0
    There are five units given below. Which one of them cannot be the unit of energy?
    Solution
    This is the unit of power, not energy.
  • Question 21
    1 / -0

    Directions For Questions

    In this question, the symbols have following meanings:

    M is mass, r and h are distances, G is universal gravitational constant, g is acceleration due to gravity, T is time, v is velocity and d is density.

    ...view full instructions

    Which equation is dimensionally incorrect?
    Solution
    If any equation has to be dimensionally correct, both sides of the equation must have same dimensional formula.
  • Question 22
    1 / -0

    Directions For Questions

    The force between two electric charges is given by Coulomb's law as given below:

    ...view full instructions

    What is the unit of k in SI system?
    Solution

  • Question 23
    1 / -0
    Sumit runs on a circular track of radius R. He covers an angle radian starting from a point 'A'. What would be the distance between Sumit and the point A on the circular track?
    Solution
    The angle travelled by Sumit is . After travelling the angle , Sumit is at his initial point A, then he moves by an angle 1 radian more. So, angular distance between point A and Sumit is only 1 radian. It gives
  • Question 24
    1 / -0

    Directions For Questions

    A gas is contained in a cylinder at a temperature 'T'. The total energy of the gas in the cylinder is given as

    ...view full instructions

    What is the dimensional formula of k?
    Solution

  • Question 25
    1 / -0
    If a wheel of 1m radius is rolling on ground with the angular speed 90 degrees/second, how many unit distance will it cover in 92 seconds?
    Solution

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