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Solution


Q.

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : If oxygen ion (O–2) and Hydrogen ion (H+) enter normal to the magnetic field with equal momentum, then the path of O–2 ion has a smaller curvature than that of H+.

Reason R : A proton with same linear momentum as an electron will from a path of smaller radius of curvature on entering a uniform magnetic field perpendicularly.

In the light of the above statement, choose the correct answer from the options given below:          [2025]
1 A is true but R is false  
2 Both A and R true but R is NOT the correct explanation of A  
3 A is false but R is true  
4 Both A and R true and R is the correct explanation of A  

Ans.

(1)

Radius in magnetic field, R=mvqB

(A) mv, B are same for O2– and H+ therefore R∝1|q| therefore (A) is correct

(B) R=mvqB; mv, q, B are same, therefore (R) is incorrect.