K = (1/2)mv² = p²/2m (since p = mv)

Therefore p = (2mK)^1/2

l = h/p = h/(2mK)^1/2 = (6.63X10^-34Js)/[(2)(9.11X10^-31 kg)(6.0X10²¹ J)]

= 6.34X10^-9 m
 

For the photon

E = hc/l  = (6.63X10^-34Js)(3.0X10⁸ m/s)/6.34X10^-9 m = 3.14X10^-17 J

Answer is D

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