Assertion: The dimensional formula for product of resistance and conductance is same as for dielectric constant. Reason: Both have dimensions of time constant.

Question

Assertion: The dimensional formula for product of resistance and conductance is same as for dielectric constant. Reason: Both have dimensions of time constant. (A) If both assertion and reason are true and reason is the correct explanation of assertion (B) If both assertion and reason are true but reason is not the correct explanation of assertion (C) If assertion is true but reason is false (D) If both assertion and reason are false

Tardigrade Admin · Accepted Answer

Both the quantities are dimensionless. Resistance × conductance =R × 1 / R=(M0 L0 T0) =1 and Dielectric constant K is dimensionless.

Q. Assertion: The dimensional formula for product of resistance and conductance is same as for dielectric constant.
Reason: Both have dimensions of time constant.

If both assertion and reason are true and reason is the correct explanation of assertion

If both assertion and reason are true but reason is not the correct explanation of assertion

If assertion is true but reason is false

If both assertion and reason are false

Both the quantities are dimensionless.
Resistance $\times$ conductance $= R \times 1/ R = (M^{0} L^{0} T^{0})$
$= 1$ and Dielectric constant $K$ is dimensionless.

Q. Assertion: The dimensional formula for product of resistance and conductance is same as for dielectric constant. Reason: Both have dimensions of time constant.