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Acceleration of a charge in a given field vector: find the missing component

The same question, asked 2 times: 26 Jul 2022*, 5 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    26 Jul 2022

    8
    A charge particle is moving in a uniform magnetic field (2i^+3j^)T(2\widehat{i}+ 3\widehat{j})T. If it has an acceleration of (αi^−4j^)m/s2(\alpha\widehat{i}- 4\widehat{j})m/s^{2}, then the value of α\alpha will be

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  2. Question 2

    5 Apr 2026 S1

    24
    The charged particle moving in a uniform magnetic field of (3i^+2j^)T(3\widehat{i} + 2\widehat{j})T has an acceleration (4i^−x2j^)m/s2\left( 4\widehat{i} - \frac{x}{2}\widehat{j} \right)m/s^{2}. The value of xx is