Given below are two statements: one is labelled as Assertion A and...

Given below are two statements: one is labelled as Assertion A and the other is labelled asReason 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 :

Options

A $\mathrm{A}$ is true but $\mathrm{R}$ is false.
BBoth $\mathrm{A}$ and $\mathrm{R}$ are true but $\mathrm{R}$ is NOT the correct explanation of $\mathrm{A}$ .
C $\mathrm{A}$ is false but $\mathrm{R}$ is true.
DBoth $\mathrm{A}$ and $\mathrm{R}$ are true and $\mathrm{R}$ is the correct explanation of $\mathrm{A}$ .

Correct answer

A. $\mathrm{A}$ is true but $\mathrm{R}$ is false.

Step-by-step solution

\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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