The physical quantity having the dimensions [ M-1 L-3 T3 A2 ] is

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81.

The physical quantity having the dimensions [ M-1 L-3 T3 A2 ] is

  • resistance

  • resistivity

  • electrical conductivity

  • electromotive force


C.

electrical conductivity

Resistivity ρ =mne2τ

   ρ = ML-3 AT2 T

          = [ M L3 A-2 T-3 ]

So, electrical conductivity

       σ = 1ρ

       [ σ ] = 1σ

               = [M-1 L-3 A2 T3 ]


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82.

A physical quantity X is given by X =  The percentage error in the measurement of k, l,  m  and n are 1 %, 2%, 3% and 4% respectively. The value of X is uncertain by

  • 8%

  • 10%

  • 12%

  • None of these


83.

If the units of length, mass and force are chosen as fundamental units, the dimensions of time would be

  • [ M1/2 L-1/2 F1/2 ]

  • [ M1/2 L1/2 F1/2 ]

  • [ M1/2 L1/2 F-1/2 ]

  • [ M1/2 L-1/2 F-1/2 ]


84.

If an error in measurement of radius of a sphere is 1%, what will be the error in the measurement of volume?

  • 1 %

  • 1.3 %

  • 3 %

  • 10 %


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85.

If C and R denote capacity and resistance, the dimensions of C R are :

  • M0L0T

  • ML0T

  • M0L0T2

  • not expressible in terms of M, L and T


86.

The length, breadth and thickness of a block are given by l = 12 cm, b = 6 cm and t = 2.45 cm. The volume of the block according to the idea of significant figures should be:

  • 1 × 102 cm3

  • 2 × 102 cm3

  • 1.763 × 102 cm3

  • none of the above


87.

The dimensional formula for Young's modulus is

  • [ML-1T-2]

  • [M0LT-2]

  • [MLT-2]

  • [ML2T-2]


88.

Dimensions of torque is

  • [M1L2T-2]

  • [M2L2T2]

  • [M-1LT-1]

  • [M-2L-2T-2]


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89.

If x = ε0 lVtis the permittivity of free space, l is length, V is potential difference and t is time. The dimensions of x are same as that of

  • charge

  • resistance

  • voltage

  • current


90.

Dimension of LRCV is

  • [A-1]

  • [A-2]

  • [A]

  • [A2]


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