CUET · PHYSICS · PYQ PAPER 2023

An electric field in \(x-y\) plane is given by the equation \(\vec{E}=E_0 \hat{i} N / C\). A positively charged particle is given a velocity of \(5 \hat{j} m / s\) at point \(x=3, y=0\) in \(x-y\) plane. The particle will experience force :

A along \(x\)-axis
B along \(y\)-axis
C along \(z\)-axis
D along negative \(z\)-axis

Verified Solution

Answer & Solution

Correct Answer

(A) along \(x\)-axis

Step-by-step Solution

Detailed explanation

The force experienced by a charged particle in an electric field is given by \(\vec{F}=q\vec{E}\). Since the charge \(q\) is positive and the electric field \(\vec{E}\) is along the \(\hat{i}\) (x-axis) direction, the force \(\vec{F}\) will also be along the \(\hat{i}\) (x-axis)…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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