An alternating electric field of frequency f is applied across the radius R of a cyclotron to accelerate protons (mass m ). The operating magnetic field B used and K.E. of the proton beam produced by it are respectively ( e = charge on proton)

Question

An alternating electric field of frequency f is applied across the radius R of a cyclotron to accelerate protons (mass m ). The operating magnetic field B used and K.E. of the proton beam produced by it are respectively ( e = charge on proton), 2 π m f e , 2 π 2 m f 2 R 2, 2 π 2 m f e 2 , 4 π 2 m f 2 R 2, π m f e , π 2 m f 2 R 2, 2 π 2 m 2 f 2 e , 2 π 2 m 2 f 2 R 2

MARKS App · Accepted Answer

T = 2 π m e B R = m f e B = P e B B = 2 π m e f P = e B R = e × 2 π m υ e R K . E = P 2 2 m = ( 2 π m f R ) 2 2 m = 2 π 2 m f 2 R 2

Search any question & find its solution

Looking for more such questions to practice?