1
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A circular arc of radius r carrying current ' I ' subtends an angle $\frac{\pi}{8}$ at its entre. The radius of a metal wire is uniform. The magnetic induction at the centre of circular arc is ( $\mu_0=$ permeability of free space)

A
$\frac{\mu_0 \mathrm{I}}{8 \mathrm{r}}$
B
$\frac{\mu_0 I}{32 r}$
C
$\frac{\mu_0 I}{64 r}$
D
$\frac{\mu_0 I}{16 r}$
2
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Electron of mass ' $m$ ' and charge ' $q$ ' is travelling with speed ' $v$ ' along a circular path of radius ' $R$ ' at right angles to a uniform magnetic field of intensity ' B '. If the speed of the electron is halved and the magnetic field is doubled, the resulting path would have radius

A
$\frac{\mathrm{R}}{2}$
B
$\frac{\mathrm{R}}{4}$
C
2R
D
4R
3
MHT CET 2024 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A current carrying circular loop of radius ' $R$ ' and current carrying long straight wire are placed in the same plane. $I_c$ and $I_w$ are the currents through circular loop and long straight wire respectively. The perpendicular distance between centre of the circular loop and wire is ' d '. The magnetic field at the centre of the loop will be zero when separation ' $d$ ' is equal to

A
$\frac{\mathrm{RI}_w}{\pi \mathrm{I}_{\mathrm{c}}}$
B
$\frac{\mathrm{RI}_{\mathrm{c}}}{\pi \mathrm{I}_{\mathrm{w}}}$
C
$\frac{\pi \mathrm{I}_{\mathrm{c}}}{R \mathrm{I}_{\mathrm{w}}}$
D
$\frac{\pi \mathrm{I}_{\mathrm{w}}}{\mathrm{R}_{\mathrm{c}}}$
4
MHT CET 2024 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A long solenoid carrying a current produces magnetic field B along its axis. If the number of turns per cm are tripled and the current is made $\left(\frac{1}{4}\right)^{\text {th }}$ then the new value of magnetic field will be

A
$\frac{B}{3}$
B
$\frac{\mathrm{B}}{4}$
C
$\frac{3 B}{4}$
D
$\frac{2 \mathrm{~B}}{3}$
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