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IAT IISER2025PhysicsMagnetic Effects of Current

A particle of mass m and charge q moving with a velocity v =v₀( i + j - k ) is placed in a uniform magnetic field B =B₀( i + j + k ) . It executes a helical trajectory of radius r and pitch p . Which of the following options is correct?

Options

  1. Ar= 2 2 m v₀ 3 q B₀ and p= 2 m v₀ 3 q B₀
  2. Br= m v₀ 3 q B₀ and p= 2 m v₀ 3 q B₀
  3. Cr= 2 2 m v₀ 3 q B₀ and p= 4 2 m v₀ 3 q B₀
  4. Dr= 2 m v₀ 3 q B₀ and p= 2 2 m v₀ 3 q B₀

Correct answer

A. r= 2 2 m v₀ 3 q B₀ and p= 2 m v₀ 3 q B₀

Step-by-step solution

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