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Chapter 1: Problem 65

\( 1 \mathrm{Mev}=\ldots \ldots \ldots \ldots \ldots\) (a) \(10^{7}\) (b) \(10^{4}\) (c) \(10^{5}\) (d) \(10^{6}\)

Short Answer

Expert verified
1 MeV = \(1.60218 \times 10^{-13} J\) None of the provided options match the correct answer.

Step by step solution

01

Recall the conversion factor between electronvolt and joule

The conversion factor between electronvolt (eV) and joule (J) is: 1 eV = \(1.60218 \times 10^{-19}\) J
02

Convert MeV to eV

As there are 1,000,000 electronvolts (eV) in 1 Mega-electronvolt (MeV), we need to convert 1 MeV to eV. 1 MeV = 1,000,000 eV
03

Convert 1 MeV to joules

Now, we'll use the conversion factor between eV and J to convert 1 MeV to joules: 1 MeV = 1,000,000 eV = 1,000,000 \(\times\) (1.60218 \(\times\) \(10^{-19}\) J) = \(1.60218 \times 10^{-13}\) J We can rewrite the number in scientific notation as: 1 MeV = \(1.60218 \times 10^{-13} J\)
04

Determine the correct answer (Match to options)

Now let's compare this answer to the provided options: (a) \(10^{7}\) (b) \(10^{4}\) (c) \(10^{5}\) (d) \(10^{6}\) Since 1 MeV is equal to \(1.60218 \times 10^{-13} J\), none of the given options match our answer. The exercise appears to have an error in the provided choices or may have been misrepresented, as the correct conversion result is not present among the options.

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