MHT CET (PCB) 2024 22th April Evening Shift | Moving Charges and Magnetism Question 2 | Physics

The magnitude of magnetic induction at a point on the axis at a large distance ' $r$ ' from the centre of a circular coil of ' $n$ ' turns and area ' $A$ ' carrying current ' I ' is ( $\mu_0=$ permeabilty of free space)

$\mathrm{B}_{\text {axis }}=\frac{\mu_0}{4 \pi} \frac{\mathrm{nA}}{\mathrm{Ir}^3}$

$\quad \mathrm{B}_{\text {axis }}=\frac{\mu_0}{4 \pi} \frac{2 \mathrm{nIA}}{\mathrm{r}^3}$

$\mathrm{B}_{\text {axis }}=\frac{\mu_0}{4 \pi} \frac{2 \mathrm{nI}}{\mathrm{Ar}^3}$

$\quad B_{\text {axis }}=\frac{\mu_0}{4 \pi} \frac{n A}{r^3}$

MHT CET (PCB) 2024 22th April Evening Shift

MCQ (Single Correct Answer)

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A circular coil carrying current ' $I$ ' has radius ' $R$ ' and magnetic field at the centre is ' $B$ '. At what distance from the centre along the axis of the same coil, the magnetic field will be $\frac{\mathrm{B}}{8}$ ?

$\mathrm{R} \sqrt{2}$

$\mathrm{R} \sqrt{3}$

$\quad 2 R$

$3 R$

MHT CET (PCB) 2024 22th April Morning Shift

MCQ (Single Correct Answer)

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A charged particle is subjected to acceleration in a cyclotron which consists of two dees ' $\mathrm{D}_1$ ' and ' $D_2$ '. The charged particle undergoes increase in its speed.

inside $\mathrm{D}_1, \mathrm{D}_2$ and the gap between dees.

only inside $\mathrm{D}_1$.

only in the gap between $\mathrm{D}_1$ and $\mathrm{D}_2$.

only inside $\mathrm{D}_2$.

MHT CET (PCB) 2024 22th April Morning Shift

MCQ (Single Correct Answer)

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The magnetic field at the centre of a current carrying circular coil of area ' $A$ ' is ' $B$ '. The magnetic moment of the coil is ( $\mu_0=$. permeability of free space)

$\frac{2 B}{\mu_0} \sqrt{\frac{A^3}{\pi}}$

$\frac{\mathrm{BA}^2}{4 \mu_0 \pi}$

$\frac{2 \pi}{\mu_0} \sqrt{A^3}$

$\frac{\mu_0}{2 B} \sqrt{\frac{A^3}{\pi}}$

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