Student Login

Home›Chapters›Moving Charges and Magnetism PYQs›Moving Charge in a Magnetic Field›Question 34

MHT CET 2024 (10 May, Shift 1) · Moving Charge in a Magnetic Field

Moving Charge in a Magnetic Field question from MHT CET 2024 (10 May, Shift 1)

Q34MHT CET 2024 · 10 MAY · SHIFT 1Medium

Moving Charge in a Magnetic Field

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

Show answer and solution

Answer: (b)

$R = \dfrac{mv}{qB} \Rightarrow R \propto \dfrac{v}{B}$
$R' = \dfrac{m(v/2)}{q(2B)} = \dfrac{R}{4}$
So the answer is (b) $\frac{R}{4}$ .

Report a mistake

More questions on Moving Charge in a Magnetic Field

A charged particle of charge ' q ' is accelerated by a potential difference ' V ' enters…MHT CET 2024 (4 May, Shift 1)
A charged particle is moving in a uniform magnetic field in a circular path with radius '…MHT CET 2024 (4 May, Shift 1)
A proton and a deuteron (q = +e, m = 2.0u) having same kinetic energies enter a region of…JEE Main 2024 (9 Apr, Shift 2)
Two particles X and Y having equal charges are being accelerated through the same…JEE Main 2024 (29 Jan, Shift 2)
A proton moving with a constant velocity passes through a region of space without any…JEE Main 2024 (27 Jan, Shift 1)
An electron with kinetic energy 5 eV enters a region of uniform magnetic field of 3…JEE Main 2024 (8 Apr, Shift 1)
An electron is projected along the axis of circular conductor carrying current I…MHT CET 2023 (11 May, Shift 1)
An electron is moving along the positive x -axis. If the uniform magnetic field is…JEE Main 2023 (13 Apr, Shift 2)