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  • Question 1
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    The dimensional formula for Young's modulus is :

  • Question 2
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    The dimensional formula of modulus of elasticity is

  • Question 3
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    The quantity which has the same dimensions as that of gravitational potential is

  • Question 4
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    The frequency of vibration of the string is given by 
    v=p2l[Fm]1/2v=\dfrac {p}{2l}\left [ \dfrac {F}{m} \right ]^{1/2}
    Here, p is the number of segments in the string and l is the length. The dimensional formula for m will be

  • Question 5
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    The physical quantity that does not have the dimensional formula [ML1T2][ML^{-1}T^{-2}] is

  • Question 6
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    The dimensional formula of 1μ0ϵ0\dfrac {1}{\mu_{0}\epsilon_{0}} is

  • Question 7
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    Number of particles is given by n=Dn2n1x2x2n=-D\cfrac { { n }_{ 2 }-{ n }_{ 1 } }{ { x }_{ 2 }-{ x }_{ 2 } } crossing a unit area perpendicular to X-axis in unit time, where n1{ n }_{ 1 } and n2{ n }_{ 2 } are number of particles per unit volume for the value of xx meant to x2{x}_{2} and x1{x}_{1}. Find dimensions of DD called as diffusion constant :

  • Question 8
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    If ε 0{ \varepsilon  }_{ 0 } is the permittivity of free space and EE is the electric field, then the dimensions of 12ε 0E2\cfrac { 1 }{ 2 } { \varepsilon  }_{ 0 }{ E }^{ 2 }\quad is

  • Question 9
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    For a circuit, L, C and R represent the inductance, capacitance and resistance. Then, the dimensional formula for C2LRC^2LR is

  • Question 10
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    R,LR,L and CC represent the physical quantities resistance, inductance and capacitance respectively. Which one of the following combination has dimensions of frequency?

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