An electron moves through a uniform magnetic field B→=(B0i^+2B0j^ )T . At a particular instant of time, the velocity of electron is u→=(3i^+5j^ )m/s If the magnetic force acting on electron is F→=(5e k^)N, where e is the charge of electron, then the value of B0 is

F→=qv→×B→5ek^=e3i^+5j^×B0i^+2B0j^5ek^=e6B0k^−5B0k^⇒B0=5T

An electron moves through a uniform magnetic field B→=(B0i^+2B0j^ )T . At a particular instant of time, the velocity of electron is u→=(3i^+5j^ )m/s If the magnetic force acting on electron is F→=(5e k^)N, where e is the charge of electron, then the value of B0 is

F→=qv→×B→5ek^=e3i^+5j^×B0i^+2B0j^5ek^=e6B0k^−5B0k^⇒B0=5T

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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 $\vec{u} = (3 \hat{i} + 5 \hat{j}) m / s$ 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

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$\begin{array}{l} \vec{F} = q (\vec{v} \times \vec{B}) \\ 5 e \hat{k} = e (3 \hat{i} + 5 \hat{j}) \times (B_{0} \hat{i} + 2 B_{0} \hat{j}) \\ 5 e \hat{k} = e (6 B_{0} \hat{k} - 5 B_{0} \hat{k}) \\ \Rightarrow B_{0} = 5 T \end{array}$

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An electron moves through a uniform magnetic field B→=(B0i^+2B0j^ )T . At a particular instant of time, the velocity of electron is u→=(3i^+5j^ )m/s If the magnetic force acting on electron is F→=(5e k^)N, where e is the charge of electron, then the value of B0 is

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