Which among the following is a unit of resistivity ?

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  1. Ohm-meter
  2. Ohm/meter
  3. Ohm-meter2
  4. Ohm/meter2

Answer (Detailed Solution Below)

Option 1 : Ohm-meter
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Detailed Solution

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The correct answer is Ohm-meter.

CONCEPT:

Resistivity (ρ):

  • Resistivity is numerically equal to the resistance of a substance having a unit area of cross-section and unit length.
  • Mathematically it can be written as,

\(\rho = \frac{{RA}}{l}\)

EXPLANATION:

SI unit of resistance = ohm

SI unit of area = meter2

SI unit of length = meter

SI unit of resistivity is -

\(\therefore \rho = \frac{{ohm - mete{r^2}}}{{meter}} = ohm - meter\)

Important Points

Quantity

Unit

Dimension

Resistance (R)

ohm

[ML2T-3A-2]

Capacitance (C)

Coulomb/volt or Farad

[M-1L2T4A2]

Resistivity or Specific resistance (ρ)

Ohm-meter

[ML3T-3A-2]

Electric current (I)

Ampere

[A]

Electric charge (q)

Coulomb

[AT]

Inductance (H)

henry

[ML2T-2A-2]

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