A particle of specific charge $$qm=$$π$$Ckg-1$$ is projected from the origin toward positive $$x-axis$$ with a velocity of $$10$$ $$ms-1$$ in a uniform magnetic field B→$$=-2k^T$$. The velocity v→ of particle after time $$t=$$ $$1/12$$ s will be (in$$ $$ms-1)

Question

A particle of specific charge $$qm=$$π$$Ckg-1$$ is projected from the origin toward positive $$x-axis$$ with a velocity of $$10$$ $$ms-1$$ in a uniform magnetic field B→$$=-2k^T$$. The velocity v→ of particle after time $$t=$$ $$1/12$$ s will be (in$$ $$ms-1)

Infinity Learn · Accepted Answer

Time period, $$T=2$$$$π$$$$mqB=2$$ππ×$$2=1$$ s Thus, particle will be at point P after $$t=112$$ s For $$1s------2$$π        $$112$$ $$------$$θ θ$$=2$$$$π$$$$12=$$π$$6=30$$ v→$$=10$$[$$cos30i^+sin30j^$$] v→$$=1032i^+12j^=5$$[$$3i^+j^$$]$$ms-1$$

A particle of specific charge $\frac{q}{m} = π {Ckg}^{- 1}$ is projected from the origin toward positive x-axis with a velocity of $10 m s - 1$ in a uniform magnetic field $\vec{B} = - 2 \hat{k} T$ . The velocity $\vec{v}$ of particle after time t= 1/12 s will be (in ms^-1)

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A particle of specific charge qm=πCkg-1 is projected from the origin toward positive x-axis with a velocity of 10 ms-1 in a uniform magnetic field B→=-2k^T. The velocity v→ of particle after time t= 1/12 s will be (in ms-1)

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A particle of specific charge $\frac{q}{m} = π {Ckg}^{- 1}$ is projected from the origin toward positive x-axis with a velocity of $10 m s - 1$ in a uniform magnetic field $\vec{B} = - 2 \hat{k} T$ . The velocity $\vec{v}$ of particle after time t= 1/12 s will be (in ms^-1)