what voltage must be applied to an electron microscope to produce electrons of wavelength 0.4A 

Dear student,
E=12mv2 = qE (q is the charge on electron)Momentum p=mv=2mEDe broglie wavelengthλ=hp=h2mE=h2mqVAs it is electron,m= 9.1×10-3, q= 1.6×10-19h=6.62×10-34λ=12.27VSo, V=12.27λ=12.270.4×10-10=30.67×1010V=940.6×1020 Volts

Regards
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