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Units and Measu...

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  • Question 1
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    The foundations of dimensional analysis were laid down by

  • Question 2
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    The dimensional formula of wave number is

  • Question 3
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    The dimensions of stress are equal to

  • Question 4
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    Match the physical quantities given in Column I with suitable dimensions expressed in Column II.

    Column IColumn II
    a) Angular momentum1) $${ M }^{ -1 }{ L }^{ 3 }{ T }^{ -2 }$$
    b) Torque2) $${ MLT }^{ -2 }$$
    c) Gravitational constant3) $${ ML }^{ 2 }{ T }^{ -2 }$$
    d) Tension 4) $${ ML }^{ 2 }{ T }^{ -1 }$$

  • Question 5
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    Which is not a dimensionless quantity is :

  • Question 6
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    A physicist performs an experiment and takes $$200$$ readings. He repeats the same experiment and now takes $$800$$ readings. By doing so :

  • Question 7
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    Consider the following two statements A and B. Identify the correct answer.
    A) The quantity $$\dfrac { { e }^{ 2 } }{ { \epsilon  }_{ 0 }ch } $$ is dimensionless.
    B) $$\dfrac { 1 }{ \sqrt { { \mu  }_{ 0 }{ \epsilon  }_{ 0 } }  } $$ 
    has the dimensions of velocity and is numerically equal of velocity of light.

  • Question 8
    1 / -0

    Choose the false statement from given statements.
    I. Relative permittivity is dimensionless variable.
    II. Angular displacement has neither units nor dimensions.
    III. Refractive index is dimensionless variable.
    IV. Permeability of vacuum is dimensional constant.

  • Question 9
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    The dimensional formula for strain energy density is:

  • Question 10
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    Some physical constants are given in List - I and their dimensional formulae are given in List - II. Match the following :

    List - IList - II
    A) Planck's constante) $$\left[ { ML }^{ -1 }{ T }^{ -2 } \right] $$
    B) Gravitational constantf) $$\left[ { ML }^{ 1 }{ T }^{ -1 } \right] $$
    C) Bulk modulusg) $$\left[ { ML }^{ 2 }{ T }^{ -1 } \right] $$
    D) Linear momentumh) $$\left[ { M}^{ -1 }{ L }^{ 3 }{ T }^{ -2 } \right] $$

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