Question

please show explanation! thank you

Each of the electrons in the beam of a television tube has a kinetic energy of 10.0 keV. The tube is oriented so that the electrons move horizontally from north to south. The vertical component of Earth's magnetic field points down and has a magnitude of 52.0 ut. (Ignore the northward component of Earth's field.) In what direction will the electron beam deflect? O north O east O west o down O up south Submit Answer Tries 0/16 Calculate the acceleration of a single electron due to the Earth's magnetic field. Submit Answer Tries 0/100 How far will the beam deflect if it moves a distance of 20.0 cm to the south through the television tube? Submit Answer Tries 0/16

Answer 1

According to the condition because the sign of the charge is negative, the electron will deflect towards WEST

Acrooding to the condition given in question We have the formula to find out the acceleration a = tem q = charge on Election = 1.6X169 ve velocity m = massof Giectoon = 9.11X16 " kq B = magnetic flex = 52.0MT. We know that ke = ý mu?

ve 72K€ [2 x 104 x 1.6x1019 V 9.11x10-31 V = 5.9x10?mis NOW Q = 52 XIO X 16 X10 9 X 5.9 x 10 9.1810-31 14 a = 5.39 x10 = 5.20 mis?

Thus the acceleration of single Electron due to magnetic field is a = [5.39 x 1014mla? Now the the tangential accelesation of Election is 2.TR R- V R = (5.9x10?) ? 5.39 x1014 - R = 6.458 m 30 that sino = 0.2 6.458 0 = sint (0.03096 ) 0 = 1177 DX = R CI-coso) ox = 6.458 (1-COS (1.77)) Dx = 3.08 x16 This is the deflection of beam.