Question

1 Gauss is equal to
$\left( A \right){10^4}T$
$\left( B \right){10^{ - 4}}T$
$\left( C \right){10^3}T$
$\left( D \right)$ None of these.

Answer 1

Hint: In this question use the concept that Gauss is the C.G.S unit and tesla is the S.I unit to reach the solution of the question.

Complete step by step answer:
 As we know that Gauss is the CGS (centimeter gram second) unit and the Tesla is the international unit (i.e. S.I unit).
Now as we know that 1 Gauss = 1 Maxwell per square centimeter.
And 1 Tesla = 1 weber per meter square.
$ \Rightarrow 1{\text{ gauss = }}1{\text{ }}\dfrac{{{\text{Maxwell}}}}{{c{m^2}}}$
And
$1{\text{ Tesla}} = 1{\text{ }}\dfrac{{{\text{Weber}}}}{{{m^2}}}$
The gauss was named for the German scientist Carl Friedrich Gauss.
And Tesla was named after the Serbian American inventor Nikola Tesla.
Now as we know that 1 Maxwell is = ${10^{ - 8}}$ Weber.
And we all know that 1 m = 100 cm
So 1 m2 = 1000 cm2.
$ \Rightarrow 1c{m^2} = \dfrac{1}{{10000}} = {10^{ - 4}}{m^2}$
Therefore, $1{\text{ }}\dfrac{{{\text{Maxwell}}}}{{c{m^2}}} = 1{\text{ }} \times \dfrac{{{\text{1}}{{\text{0}}^{ - 8}}{\text{Weber}}}}{{{{10}^{ - 4}}{m^2}}} = 1 \times {10^{ - 4}}\dfrac{{{\text{Weber}}}}{{{m^2}}} = {10^{ - 4}}T$

So the relation between them is
1 Gauss = ${10^{ - 4}}$ Tesla.
So this is the required answer.
Hence option (B) is the correct answer.

Note – Whenever we face such types of questions the key concept we have to remember is that $1{\text{ gauss = }}1{\text{ }}\dfrac{{{\text{Maxwell}}}}{{c{m^2}}}$ and $1{\text{ Tesla}} = 1{\text{ }}\dfrac{{{\text{Weber}}}}{{{m^2}}}$ so convert Maxwell into weber by using 1 Maxwell = ${10^{ - 8}}$ Weber and cm into the meter as above and simplify we will get the required answer.