Question

What is 1.0471 x 10^4 V equal to in electron volts?

a) 1.0471 x 10^4 eV
b) 1.0471 x 10^8 eV
c) 1.0471 x 10^12 eV
d) 1.0471 x 10^16 eV

Answer 1

To convert 1.0471 x 10^4 V to electron volts (eV), we need to multiply the voltage by the charge of an electron and then divide by the charge of an electron to convert it to electron volts. The answer is 1.0471 x 10^4 eV.

Step-by-step explanation:

To convert 1.0471 x 10^4 V to electron volts (eV), we need to use the conversion factor between volts and electron volts, which is 1 eV = 1.60 x 10^-19 J. First, we convert the voltage from V to J by multiplying it by the charge of an electron (1.60 x 10^-19 C).

1.0471 x 10^4 V * 1.60 x 10^-19 C = 1.67536 x 10^-15 J

Next, we divide the energy in joules by the charge of an electron to convert it to electron volts:

1.67536 x 10^-15 J / (1.60 x 10^-19 C) = 1.0471 x 10^4 eV

Therefore, 1.0471 x 10^4 V is equal to 1.0471 x 10^4 eV.