A particle has a charge of 5.2 × 10-19 coulombs and experiences a force of 9.5 × 10-15 newtons when it travels through a magnetic field with strength 2.2 × 10-1 tesla. What is the speed of the particle?

1.9 × 104 meters/second



2.2 × 104 meters/second



4.9 × 104 meters/second



8.3 × 104 meters/second

5 MINUTE TIME LEFT NEED ANSWER WITHIN 5 MINUTES PLEASE VERY IMPORTANT

Respuesta :

Explanation:

F=Bqv (in magnetic field)

9.5*10^-15=(5.2*10^-19)(2.2*10^-1)*v

solve for v.

Answer : The speed of particle is [tex]8.3\times 10^4m/s[/tex]

Explanation :

Magnetic force : It is defined as when a charged particle moves in magnetic field, then force is exerted on the moving charged particle. In this the force is perpendicular to both the velocity of the charge and the magnetic field.

Formula used :

[tex]F=qvB[/tex]

where,

F = magnetic force = [tex]9.5\times 10^{-15}N[/tex]

q = charge = [tex]5.2\times 10^{-19}C[/tex]

v = velocity of charge = ?

B = magnetic field strength = [tex]2.2\times 10^{-1}tesla[/tex]

Now put all the given values in the above formula, we get:

[tex]F=qvB[/tex]

[tex]9.5\times 10^{-15}N=(5.2\times 10^{-19}C)\times v\times (2.2\times 10^{-1}tesla)[/tex]

[tex]v=8.3\times 10^4m/s[/tex]

Therefore, the speed of particle is [tex]8.3\times 10^4m/s[/tex]