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Q.

The unit of specific conductivity is 

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a

ohms cm–1

b

ohm–1 cm–1 

c

ohm–1 cm

d

ohms cm–2

answer is D.

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Detailed Solution

Specific conductance, also referred to as specific conductivity, is the measure of a material's ability to conduct electric current. It is the reciprocal of electrical resistance for a given material, normalized by the length and cross-sectional area of the material.

Mathematically, the unit of specific conductance can be derived using the following formula:

Specific Conductance = (1 / Resistance) × (Length / Area)

Substituting the dimensions into the equation:

  • Resistance is measured in ohms (Ω).
  • Length is measured in centimeters (cm).
  • Area is measured in square centimeters (cm2).

Therefore, the unit of specific conductance becomes:

Specific Conductance = (1 / Ω) × (cm / cm2)

Simplifying this:

Specific Conductance = Ω-1 × cm-1

Hence, the unit of specific conductance is commonly expressed as: Ω-1·cm-1, or in SI units, it is represented as S·m-1 (siemens per meter).

Importance of the Unit of Specific Conductance

The unit of specific conductance is significant in various fields such as chemistry, physics, and material science, as it helps in understanding how well a material can transmit electrical currents. This property is crucial for applications in electrolytes, semiconductors, and other conductive materials.

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