A deuteron,with the same charge but twice the mass of a proton,moves with a speed of 6.00 × 10⁵ m/s perpendicular to a uniform magnetic field of 0.0525 T.Which of the paths described below would it follow? (q_p = 1.60 × 10−¹⁹ C and m_d = 3.34 × 10−²⁷ kg) A)a straight-line path B)a circular path of 61.1 cm radius C)a circular path of 23.9 cm radius D)a circular path of 2.14 cm radius E)a circular path of 1.70 cm radius

Question

Quizplus · Accepted Answer

The path that the deuteron follows is given by:

r = mv/qB

where r is the radius of the circular path, v is the velocity of the deuteron, q is its charge, m is its mass, and B is the magnetic field strength.

Plugging in the given values, we get:

r = (2*3.34x10^-27 kg)(6.00x10^5 m/s)/(1.6x10^-19 C)(0.0525 T)
r ≈ 0.0239 m = 23.9 cm

Therefore, the deuteron would follow circular path with a radius of 23.9 cm. Choice C is the correct answer.

A Deuteron,with the Same Charge but Twice the Mass of a Proton,moves