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JEE Main 2024 (Online) 31st January Morning Shift

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An electron moves through a uniform magnetic field \(\vec{B}=B_0 \hat{i}+2 B_0 \hat{j} T\). At a particular instant of time, the velocity of electron is \(\vec{u}=3 \hat{i}+5 \hat{j} \mathrm{~m} / \mathrm{s}\). If the magnetic force acting on electron is \(\vec{F}=5 e \hat{k} N\), where \(e\) is the charge of electron, then the value of \(B_0\) is _________ \(T\).

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