A)Calculate the voltage required to accelerate a beam of electrons initially at

Question

A)Calculate the voltage required to accelerate a beam of electrons initially at rest if they have a kinetic energy of 2.9 eV

B)Calculate their speed if they have a kinetic energy of 2.9

eV

C)Calculate the voltage required to accelerate a beam of electrons initially at rest if they have a kinetic energy of 3.5

keV .

D)Calculate their speed if they have a kinetic energy of 3.5

keV .

E)Calculate the voltage required to accelerate a beam of electrons initially at rest if they have a kinetic energy of 3.5×1016

J

F)Calculate their speed if they have a kinetic energy of 3.5×1016

J

Explanation / Answer

A. Using work energy theoram

W = dKE

also

W = q*V

given dKE = 2.9 eV

q*V = 2.9 eV

e*V = 2.9 eV

V = 2.9 eV/e = 2.9 V

Voltage required = 2.9 V

B.

KE = 0.5*m*v^2

2.9*eV = 0.5*m*v^2

v = sqrt (2*2.9 eV/m)

v = sqrt (2*2.9*1.6*10^-19/(9.1*10^-31))

v = 1.009*10^6 m/sec

C.

q*V = KE

e*V = 3.5*k eV = 3500 eV

Voltage required = 3500 V

D.

v = sqrt (2*KE/m)

v = sqrt (2*3500*1.6*10^-19/(9.1*10^-31))

v = 35.08*10^6 m/sec

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