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JEE Main 20231 FebruaryMorning Shift
Exam
JEE Main
Year
2023
Date
1 February
Shift
Morning Shift
Subject
Physics
Chapter
Magnetic Effects of Current

JEE Main 2023 · 1 February · Morning Shift · Physics · Magnetic Effects of Current

A charge particle of 2μ C accelerated by a potential difference of...

A charge particle of 2μC2\mu C accelerated by a potential difference of 100V100V enters a region of uniform magnetic field of magnitude 4mT4mT at right angle to the direction of field. The charge particle completes semicircle of radius 3cm3cm inside magnetic field. The mass of the charge particle is ______ ×10−18kg\times {10}^{- 18}kg.A charge particle of 2μ C accelerated by a potential difference of 100V enters a region of uniform magnetic field of

Correct answer

0

Step-by-step solution

A charge particle of 2μ C accelerated by a potential difference of 100V enters a region of uniform magnetic field of

As we know, radius of the circular path is given by,

r=mvqB=2mKqB=2×m×qVqBr = \dfrac{mv}{qB} = \dfrac{\sqrt{2mK}}{qB} = \dfrac{\sqrt{2 \times m \times qV}}{qB}

⇒r2=2mVqB2⇒ {r}^{2} = \dfrac{2mV}{q{B}^{2}}

⇒m=r2qB22V=(3×10−2)2×(2×10−6)×(4×10−3)22×100=144×10−18kg⇒ m = \dfrac{{r}^{2}q{B}^{2}}{2V} = \dfrac{{\left(3 \times {10}^{- 2}\right)}^{2} \times \left(2 \times {10}^{- 6}\right) \times {\left(4 \times {10}^{- 3}\right)}^{2}}{2 \times 100} = 144 \times {10}^{- 18}kg

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