Match the following two columns:Column-IColum | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The dimensional formulas are derived as follows:$(A)$ Electrical resistance $(R)$: $R = V/I$. Potential $(V)$ is $M^1 L^2 T^{-3} A^{-1}$ and Curre

Vedclass · Accepted Answer

$A-Q, B-R, C-P, D-S$

Vedclass · Answer

(B) The dimensional formulas are derived as follows:$(A)$ Electrical resistance $(R)$: $R = V/I$. Potential $(V)$ is $M^1 L^2 T^{-3} A^{-1}$ and Current $(I)$ is $A^1$. Thus, $R = [M^1 L^2 T^{-3} A^{-1}] / [A^1] = M^1 L^2 T^{-3} A^{-2}$. This matches $(Q)$.$(B)$ Electrical potential $(V)$: $V = W/q$. Work $(W)$ is $M^1 L^2 T^{-2}$ and Charge $(q)$ is $A^1 T^1$. Thus, $V = [M^1 L^2 T^{-2}] / [A^1 T^1] = M^1 L^2 T^{-3} A^{-1}$. This matches $(R)$.$(C)$ Specific resistance (Resistivity, $\rho$): $\rho = R \cdot A / l$. Dimensions are $[M^1 L^2 T^{-3} A^{-2}] \cdot [L^2] / [L] = M^1 L^3 T^{-3} A^{-2}$. This matches $(P)$.$(D)$ Specific conductance ($\sigma$): $\sigma = 1 / \rho$. Dimensions are $[M^{-1} L^{-3} T^3 A^2]$. This is not listed in the options, so it matches $(S)$.Therefore, the correct matching is $A-Q, B-R, C-P, D-S$.

Column-$I$	Column-$II$
$(A)$ Electrical resistance	$(P)$ $M^1 L^3 T^{-3} A^{-2}$
$(B)$ Electrical potential	$(Q)$ $M^1 L^2 T^{-3} A^{-2}$
$(C)$ Specific resistance	$(R)$ $M^1 L^2 T^{-3} A^{-1}$
$(D)$ Specific conductance	$(S)$ None of these

Match the following two columns:
Column-$I$ Column-$II$
$(A)$ Electrical resistance $(P)$ $M^1 L^3 T^{-3} A^{-2}$
$(B)$ Electrical potential $(Q)$ $M^1 L^2 T^{-3} A^{-2}$
$(C)$ Specific resistance $(R)$ $M^1 L^2 T^{-3} A^{-1}$
$(D)$ Specific conductance $(S)$ None of these

Similar Questions

The variation of current $(I)$ and voltage $(V)$ is as shown in figure $A$. The variation of power $P$ with current $I$ is best shown by which of the following graphs?

$A$ $3\,^oC$ rise in temperature is observed in a conductor by passing a certain current. When the current is doubled,the rise in temperature will be ............. $^oC$.

The thermo-emf of a hypothetical thermocouple varies with the temperature $\theta$ of the hot junction as $E = a\theta + b\theta^2$ in volts,where the ratio $a/b$ is $700^{\circ}C$. If the cold junction is kept at $0^{\circ}C$,then the neutral temperature is:

The temperature dependence of resistances of $Cu$ and undoped $Si$ in the temperature range $300-400 \ K$,is best described by

When a current passes through the junction of two different metals,the evolution or absorption of heat at the junction is known as:

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Match the following two columns:Column-$I$Column-$II$$(A)$ Electrical resistance$(P)$ $M^1 L^3 T^{-3} A^{-2}$$(B)$ Electrical potential$(Q)$ $M^1 L^2 T^{-3} A^{-2}$$(C)$ Specific resistance$(R)$ $M^1 L^2 T^{-3} A^{-1}$$(D)$ Specific conductance$(S)$ None of these