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 $$60{}^\circ $$ to the $$X-$$axis. If a uniform magnetic field of 0.104 Tesla is applied along $$Y-$$axis, the path of proton is [IIT-JEE 1995]

Question

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 $$60{}^\circ $$ to the $$X-$$axis. If a uniform magnetic field of 0.104 Tesla is applied along $$Y-$$axis, the path of proton is  [IIT-JEE 1995]

TuteeHUB · Accepted Answer

A helix of radius = 0.2 m and time period $$4\pi \times {{10}^{-7}}s$$

TuteeHUB · Answer

A circle of radius = 0.2 m and time period $$\pi \times {{10}^{-7}}s$$

TuteeHUB · Answer

A circle of radius = 0.1 m and time period $$2\pi \times {{10}^{-7}}s$$

TuteeHUB · Answer

A helix of radius = 0.1 m and time period $$2\pi \times {{10}^{-7}}s$$

1.	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 \[60{}^\circ \] to the \[X-\]axis. If a uniform magnetic field of 0.104 Tesla is applied along \[Y-\]axis, the path of proton is [IIT-JEE 1995]
A.	A circle of radius = 0.2 m and time period \[\pi \times {{10}^{-7}}s\]
B.	A circle of radius = 0.1 m and time period \[2\pi \times {{10}^{-7}}s\]
C.	A helix of radius = 0.1 m and time period \[2\pi \times {{10}^{-7}}s\]
D.	A helix of radius = 0.2 m and time period \[4\pi \times {{10}^{-7}}s\]
Answer» D. A helix of radius = 0.2 m and time period \[4\pi \times {{10}^{-7}}s\]

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