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A Proton is Projected with a Velocity of 3 × 106 M S−1 Perpendicular to a Uniform Magnetic Field of 0.6 T. Find the Acceleration of the Proton. - Physics

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प्रश्न

A proton is projected with a velocity of 3 × 106 m s−1 perpendicular to a uniform magnetic field of 0.6 T. Find the acceleration of the proton.

बेरीज
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उत्तर

Given:
Velocity of the proton, v = 3 × 106 m s−1
Uniform magnetic field, B = 0.6 T
As per the question, the proton is projected perpendicular to a uniform magnetic field.
We know,
F = mpa  ....(i)
and
F = evBsinθ   ....(ii)
On equating (i) and (ii), we get:
ma = evBsinθ (As θ = 90˚)
`a = (evB)/(m)`

`(1.6xx10^-19xx3xx10^6xx0.6)/(1.67xx10^-27)`

= 1.72 × 1014 m/s2

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Force on a Moving Charge in Uniform Magnetic and Electric Fields
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पाठ 12: Magnetic Field - Exercises [पृष्ठ २३३]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
पाठ 12 Magnetic Field
Exercises | Q 36 | पृष्ठ २३३

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