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(B) $1$. Electrical resistance $(R)$: $V = IR \implies R = V/I$. Dimensional formula of $V$ is $[M L^2 T^{-3} A^{-1}]$ and $I$ is $[A]$. So,$R = [M L^

Vedclass · Accepted Answer

$A 	o q, B 	o r, C 	o p, D 	o s$

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(B) $1$. Electrical resistance $(R)$: $V = IR \implies R = V/I$. Dimensional formula of $V$ is $[M L^2 T^{-3} A^{-1}]$ and $I$ is $[A]$. So,$R = [M L^2 T^{-3} A^{-1}] / [A] = [M L^2 T^{-3} A^{-2}]$. Thus,$A 	o q$.$2$. Electrical potential $(V)$: Dimensional formula is $[M L^2 T^{-3} A^{-1}]$. None of the options match,so $B 	o s$.$3$. Specific resistance $(ho)$: $R = ho (l/A) \implies ho = R A / l$. Dimensions: $[M L^2 T^{-3} A^{-2}] [L^2] / [L] = [M L^3 T^{-3} A^{-2}]$. Thus,$C 	o p$.$4$. Specific conductance $(\sigma)$: $\sigma = 1 / ho$. Dimensions: $[M^{-1} L^{-3} T^3 A^2]$. None of the options match,so $D 	o s$.Therefore,the correct match is $A 	o q, B 	o s, C 	o p, D 	o s$. Note: Since the provided options do not contain this exact sequence,we re-evaluate. Re-checking: $A 	o q, B 	o r, C 	o p, D 	o s$ is the closest match if we consider potential as $r$ and resistance as $q$. Correct option is $B$.

Column-$I$	Column-$II$
$(A)$ Electrical resistance	$(p)$ $M L^3 T^{-3} A^{-2}$
$(B)$ Electrical potential	$(q)$ $M L^2 T^{-3} A^{-2}$
$(C)$ Specific resistance	$(r)$ $M L^2 T^{-3} A^{-1}$
$(D)$ Specific conductance	$(s)$ None of these

Column-$I$	Column-$II$
$(1)$ Torque	$(a)$ $M^1L^1T^{-1}$
$(2)$ Angular momentum	$(b)$ $M^1L^2T^{-1}$
$(3)$ Linear momentum	$(c)$ $M^1L^2T^{-2}$

Match the following two columns:

Column-$I$ Column-$II$

$(A)$ Electrical resistance $(p)$ $M L^3 T^{-3} A^{-2}$

$(B)$ Electrical potential $(q)$ $M L^2 T^{-3} A^{-2}$

$(C)$ Specific resistance $(r)$ $M L^2 T^{-3} A^{-1}$

$(D)$ Specific conductance $(s)$ None of these

Similar Questions

Match the physical quantities in Column-$I$ with their corresponding dimensional formulas in Column-$II$.

Column-$I$ Column-$II$

$(1)$ Torque $(a)$ $M^1L^1T^{-1}$

$(2)$ Angular momentum $(b)$ $M^1L^2T^{-1}$

$(3)$ Linear momentum $(c)$ $M^1L^2T^{-2}$

The fundamental physical quantities that have the same dimensions in the dimensional formulae of torque and angular momentum are

The dimensions of the universal gravitational constant are:

Dimensional formula for pressure head is

Dimensions of kinetic energy are

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