A proton of mass $$1.67$$ × $$10$$−$$27$$ kg and charge $$1.6$$ × $$10$$−$$19$$ C is projected with a speed of $$2$$ × $$106$$ $$m/s$$ at an angle of $$60$$° to the $$X-axis$$. If a uniform magnetic field of $$0.104$$ T is applied along $$Y-axis$$, the path of proton is

Question

A proton of mass $$1.67$$ ×  $$10$$−$$27$$ kg and charge $$1.6$$ ×  $$10$$−$$19$$ C is projected with a speed of $$2$$ ×  $$106$$ $$m/s$$ at an angle of $$60$$° to the $$X-axis$$. If a uniform magnetic field of $$0.104$$ T is applied along $$Y-axis$$, the path of proton is

Infinity Learn · Accepted Answer

Path of the proton will be a helix of radius, $$r=$$ mvsin θqBwhere  θ $$=$$  Angle between B→  and  v→⇒  $$r=1.67$$  ×$$10$$−$$27$$ ×  $$2$$  ×$$106$$ ×  $$sin$$  $$300$$ $$1.6$$  ×$$10$$−$$19$$ ×  $$0.104=0.1$$  mTime  period,  $$T=2$$$$π$$mqB $$=2$$π × $$1.67$$  ×$$10$$−$$27$$ $$1.6$$  ×$$10$$−$$19$$ ×  $$0.104$$ $$=$$  $$2$$π × $$10$$−$$7$$ s

A proton of mass $1 .67 \times 10^{- 27} kg$ and charge $1 .6 \times 10^{- 19} C$ is projected with a speed of $2 \times 10^{6} m / s$ at an angle of 60° to the X-axis. If a uniform magnetic field of 0.104 T is applied along Y-axis, the path of proton is

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A proton of mass 1.67 × 10−27 kg and charge 1.6 × 10−19 C is projected with a speed of 2 × 106 m/s at an angle of 60° to the X-axis. If a uniform magnetic field of 0.104 T is applied along Y-axis, the path of proton is

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A proton of mass $1 .67 \times 10^{- 27} kg$ and charge $1 .6 \times 10^{- 19} C$ is projected with a speed of $2 \times 10^{6} m / s$ at an angle of 60° to the X-axis. If a uniform magnetic field of 0.104 T is applied along Y-axis, the path of proton is