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JEE Mains · Physics · STD 12 - 4. Moving charges and magnetism

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R .
Assertion A : If oxygen ion \(\left(\mathrm{O}^{-2}\right)\) and Hydrogen ion \(\left(\mathrm{H}^{+}\right)\)enter normal to the magnetic field with equal momentum, then the path of \(\mathrm{O}^{-2}\) ion has a smaller curvature than that of \(\mathrm{H}^{+}\).
Reason R : A proton with same linear momentum as an electron will form a path of smaller radius of curvature on entering a uniform magnetic field perpendicularly.
In the light of the above statements, choose the correct answer from the options given below :

  1. A \(\mathrm{A}\) is true but \(\mathrm{R}\) is false.
  2. B Both \(\mathrm{A}\) and \(\mathrm{R}\) are true but \(\mathrm{R}\) is NOT the correct explanation of \(\mathrm{A}\).
  3. C \(\mathrm{A}\) is false but \(\mathrm{R}\) is true.
  4. D Both \(\mathrm{A}\) and \(\mathrm{R}\) are true and \(\mathrm{R}\) is the correct explanation of \(\mathrm{A}\).
Verified Solution

Answer & Solution

Correct Answer

(A) \(\mathrm{A}\) is true but \(\mathrm{R}\) is false.

Step-by-step Solution

Detailed explanation

\(\begin{aligned} & r=\frac{m v}{q B}=\frac{p}{q B} \\ & r \propto \frac{1}{q}\end{aligned}\) Assertion is true reason is false
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