Question

A proton has a mass of 1.67 × 10–27 kilogram, and an electron has a mass of 9.11 × 10–31 kilogram. Which is greater, the mass of a proton or the mass of an electron?
A. The mass of an electron is greater because 9.11 is greater than 1.67
B. The mass of an electron is greater because -31 is greater than -27
C. The mass of a proton is greater because -27 is greater than -37
D. The mass of a proton is greater because 1.67 is greater than 9.11

Answer 1

Answer:

Option: C is the correct answer.

C. The mass of a proton is greater because -27 is greater than -37.

Step-by-step explanation:

The mass of proton is given as:

          $1.67\times 10^{-27}\ \text{kilogram}$

and the mass of an electron is given to be:

                     $9.11\times 10^{-31}\ \text{kilogram}$

Now, we know that the higher the negative power of 10 smaller is the number ; since the decimal get shifted to the left and hence the number gets smaller.

Here we have that:  

    $-27>-31$

This means that:

   The mass of proton is greater than the mass of an electron.

Answer 2

First we have to bring them to the same level.

We have two choices

to transform 10∧-31 to 10∧-27 or to transform 10∧-27 to 10∧-31

First      

proton has a mass 1.67 x 10∧-27 kg

electron has a mass 9.11 x 10∧-31 kg= (9.11/10∧4) x (10∧-31 x 10∧4)=>

= 0.000911 x 10∧-27 kg

They are now at the same level and we can compare them.

As we can see the mass of the proton is greater than                

the mass of electron because 1.67 is greater than 0.000911.

You can do it in the second way at the same manner.

Good luck!!!