Physics - Magnetism Question with Solution | TestHub

PhysicsMagnetismMotion analysis in electric & magnetic fieldMedium2 minPYQ_2020

PhysicsMediumnumerical

A small particle of mass $1 kg$ and charge $1 C$ enters perpendicularly in a triangular region of a uniform magnetic field of strength $2 T$ as shown in the figure. What is the maximum velocity (in $m s^{- 1}$ ) of the particle with which it can enter so that it completes a half-circle in the region of the magnetic field?

Answer:

3.00

Solution:

$\sin 37 ° = \frac{R}{4 - R}$
$\Rightarrow \frac{3}{5} = \frac{R}{4 - R}$
$\Rightarrow$ $12 - 3 R = 5 R$
$\Rightarrow$ $8 R = 12$
$\Rightarrow R = \frac{12}{8} = \frac{3}{2} m$
$V = \frac{q B R}{m} = \frac{1 \times 2 \times 1.5}{1} = 3 m s^{- 1}$

Stream:JEESubject:PhysicsTopic:MagnetismSubtopic:Motion analysis in electric & magnetic field

⏱ 2mℹ️ Source: PYQ_2020

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