if an electron and a proton having same momenta enter

If an electron and a proton having same momenta enter perpendicular to a magnetic field, then

A. curved path of electron and proton will be same (ignoring the sense of revolution)

B. they will move undeflected

C. curved path of electron is more curved than that of the proton

D. path of proton is more curved.

Answer : curved path of electron and proton will be same (ignoring the sense of revolution)

Solution :
KEY CONCEPT : When a charged particle enters perpendicular to a magnetic field, then it moves in a circular path of radius.
$$r = \frac{p}{{qB}}$$
where $$q$$ = Charge of the particle
$$p$$ = Momentum of the particle
$$B$$ = Magnetic field
Here $$p, q$$ and $$B$$ are constant for electron and proton, therefore the radius will be same.

Releted MCQ Question on
Electrostatics and Magnetism >> Magnetic Effect of Current

Releted Question 1

A conducting circular loop of radius $$r$$ carries a constant current $$i.$$ It is placed in a uniform magnetic field $${{\vec B}_0}$$ such that $${{\vec B}_0}$$ is perpendicular to the plane of the loop. The magnetic force acting on the loop is

A. $$ir\,{B_0}$$

B. $$2\pi \,ir\,{B_0}$$

C. zero

D. $$\pi \,ir\,{B_0}$$

View Answer

Releted Question 2

A battery is connected between two points $$A$$ and $$B$$ on the circumference of a uniform conducting ring of radius $$r$$ and resistance $$R.$$ One of the arcs $$AB$$ of the ring subtends an angle $$\theta $$ at the centre. The value of the magnetic induction at the centre due to the current in the ring is

A. proportional to $$2\left( {{{180}^ \circ } - \theta } \right)$$

B. inversely proportional to $$r$$

C. zero, only if $$\theta = {180^ \circ }$$

D. zero for all values of $$\theta $$

View Answer

Releted Question 3

A proton, a deuteron and an $$\alpha - $$ particle having the same kinetic energy are moving in circular trajectories in a constant magnetic field. If $${r_p},{r_d},$$ and $${r_\alpha }$$ denote respectively the radii of the trajectories of these particles, then

A. $${r_\alpha } = {r_p} < {r_d}$$

B. $${r_\alpha } > {r_d} > {r_p}$$

C. $${r_\alpha } = {r_d} > {r_p}$$

D. $${r_p} = {r_d} = {r_\alpha }$$

View Answer

Releted Question 4

A circular loop of radius $$R,$$ carrying current $$I,$$ lies in $$x - y$$ plane with its centre at origin. The total magnetic flux through $$x - y$$ plane is

A. directly proportional to $$I$$

B. directly proportional to $$R$$

C. inversely proportional to $$R$$

D. zero

View Answer

If an electron and a proton having same momenta enter perpendicular to a magnetic field, then

Releted MCQ Question on
Electrostatics and Magnetism >> Magnetic Effect of Current

A conducting circular loop of radius $$r$$ carries a constant current $$i.$$ It is placed in a uniform magnetic field $${{\vec B}_0}$$ such that $${{\vec B}_0}$$ is perpendicular to the plane of the loop. The magnetic force acting on the loop is

A proton, a deuteron and an $$\alpha - $$ particle having the same kinetic energy are moving in circular trajectories in a constant magnetic field. If $${r_p},{r_d},$$ and $${r_\alpha }$$ denote respectively the radii of the trajectories of these particles, then

A circular loop of radius $$R,$$ carrying current $$I,$$ lies in $$x - y$$ plane with its centre at origin. The total magnetic flux through $$x - y$$ plane is

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Releted MCQ Question on Electrostatics and Magnetism >> Magnetic Effect of Current

A conducting circular loop of radius $$r$$ carries a constant current $$i.$$ It is placed in a uniform magnetic field $${{\vec B}_0}$$ such that $${{\vec B}_0}$$ is perpendicular to the plane of the loop. The magnetic force acting on the loop is

A proton, a deuteron and an $$\alpha - $$ particle having the same kinetic energy are moving in circular trajectories in a constant magnetic field. If $${r_p},{r_d},$$ and $${r_\alpha }$$ denote respectively the radii of the trajectories of these particles, then

A circular loop of radius $$R,$$ carrying current $$I,$$ lies in $$x - y$$ plane with its centre at origin. The total magnetic flux through $$x - y$$ plane is

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Electrostatics and Magnetism >> Magnetic Effect of Current

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