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Standard X

Chemistry

Mole Concept

If a conducta...

Question

If a conductance of a conductor (G) is $\frac{I^{2} t}{W}$ , where I is current, t is time and W is work done then write the unit of conductance expressed in terms of fundamental units.

\frac{A^{2} s^{3}}{{k g m}^{2}}

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\frac{A^{3} s^{2}}{{k g m}^{2}}

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\frac{A^{2} s^{3}}{{k g m}^{1}}

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\frac{A^{3} s^{2}}{{k g m}^{1}}

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Solution

The correct option is A $\frac{A^{2} s^{3}}{{k g m}^{2}}$
Fundamental unit of $I$ is $A$ and that of $t$ is $s$ .

The fundamental unit of work done $W$ is $J o u l e s$ and it is given as $k g m^{2} / s^{2}$ in the SI system.

Thus unit of conductance $= \frac{I^{2} t}{W} = \frac{A^{2} s}{k g m^{2} / s^{2}} = \frac{A^{2} s^{3}}{k g m^{2}}$

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If a conductance of a conductor (G) is I2tW , where I is current, t is time and W is work done then write the unit of conductance expressed in terms of fundamental units.

The correct option is A A2s3kgm2Fundamental unit of I is A and that of t is s.The fundamental unit of work done W is Joules and it is given as kg m2/s2 in the SI system.Thus unit of conductance =I2tW=A2 skg m2/s2=A2 s3kg m2

If a conductance of a conductor (G) is $\frac{I^{2} t}{W}$ , where I is current, t is time and W is work done then write the unit of conductance expressed in terms of fundamental units.