用波长为4×10-7 m的紫光照射某金属,发出的光电子垂直进入3×10-4

用波长为4×10-7 m的紫光照射某金属,发出的光电子垂直进入3×10-4 T的匀强磁场中,光电子所形成的圆轨道的最大半径为1.2 cm.(电子电荷量e=1.6×10-19 C,质量m=0.91×10-30 kg)求:

(1)光电子的最大初动能;

(2)该金属发生光电效应的极限频率.

答案

(1)1.82×10-19 J  (2)4.74×1014 Hz


解析:

(1)由evmB=m                                                                                    (2分)

得  vm=                                                                                                (2分)

则最大初动能为

E k=mvm2==1.82×10-19 J.                                                              (2分)

(2)由E k=hW                                                                                            (2分)

W=hν0                                                                                                                                                                                                                       (1分)

得极限频率

ν0==4.74×1014 Hz.                                                                           (1分)

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