MCQ
Assertion : Gauss theorem is not applicable in magnetism.
Reason : Mono magnetic pole does not exist.
  • If both assertion and reason are true and the reason is the correct explanation of the assertion.
  • B
    If both assertion and reason are true but reason is not the correct explanation of the assertion.
  • C
    If assertion is true but reason is false.
  • D
    If the assertion and reason both are false.

Answer

Correct option: A.
If both assertion and reason are true and the reason is the correct explanation of the assertion.
If both assertion and reason are true and the reason is the correct explanation of the assertion.

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$1.$ Consider two different metallic strips ($1$ and $2$) of the same material. Their lengths are the same, widths are $w_1$ and $w_2$ and thicknesses are $d_1$ and $d_2$, respectively. Two points $K$ and $M$ are symmetrically located on the opposite faces parallel to the $x$ - $y$ plane (see figure). $V _1$ and $V _2$ are the potential differences between $K$ and $M$ in strips $1$ and $2$ , respectively. Then, for a given current $I$ flowing through them in a given magnetic field strength $B$, the correct statement$(s)$ is(are)

$(A)$ If $w _1= w _2$ and $d _1=2 d _2$, then $V _2=2 V _1$

$(B)$ If $w_1=w_2$ and $d_1=2 d_2$, then $V_2=V_1$

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$2.$ Consider two different metallic strips ($1$ and $2$) of same dimensions (lengths $\ell$, width w and thickness $d$ ) with carrier densities $n_1$ and $n_2$, respectively. Strip $1$ is placed in magnetic field $B_1$ and strip $2$ is placed in magnetic field $B_2$, both along positive $y$-directions. Then $V_1$ and $V_2$ are the potential differences developed between $K$ and $M$ in strips $1$ and $2$, respectively. Assuming that the current $I$ is the same for both the strips, the correct option$(s)$ is(are)

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Give the answer question $1$ and $2.$ 

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