The mass and energy equivalent to 1 amu are respectively
(a) 1.67 × 10⁻²⁷ gm, 9.30 MeV
(b) 1.67 × 10⁻²⁷ kg, 930 MeV
(c) 1.67 × 10⁻²⁷ kg, 1 MeV
(d) 1.67 × 10⁻³⁴ kg, 1 MeV
Answers
Find the mass and energy equivalent to 1 amu.
The unit in which atomic and nuclear masses are measured is called atomic mass unit (a.m.u)
One atomic mass unit (amu)= of mass of Mars carbon
One amu
Energy Equivalent to 1 amu mass
Therefore,
Correct option is b) 1.67 × 10⁻²⁷ kg, 930 MeV
More About topic
- To determine atomic mass accurately we generally use Aston and Bainbridge mass spectrometers .
Answer:
{\underline{\sf{Question}}}
Question
Find the mass and energy equivalent to 1 amu.
{\underline{\sf{Solution}}}
Solution
The unit in which atomic and nuclear masses are measured is called atomic mass unit (a.m.u)
One atomic mass unit (amu)= \sf\dfrac{1}{12}
12
1
of mass of Mars carbon \sf{}_{6}C{}^{12}
6
C
12
One amu
\sf=\dfrac{1}{12}(\dfrac{12}{6.023\times10{}^{23}})=
12
1
(
6.023×10
23
12
)
\sf=1.67\times10{}^{-27}Kg=1.67×10
−27
Kg
Energy Equivalent to 1 amu mass
\sf\:E=mc^2E=mc
2
\sf=1.67\times10{}^{-27}\times(3\times10^8)^2=1.67×10
−27
×(3×10
8
)
2
\sf=1.67\times10{}^{-27}\times(9\times10{}^{16})=1.67×10
−27
×(9×10
16
)
\sf=1.49\times10{}^{-10}joule=1.49×10
−10
joule
\sf=931.5Mev=931.5Mev
Therefore,
Correct option is b) 1.67 × 10⁻²⁷ kg, 930 MeV
\rule{200}2
More About topic
To determine atomic mass accurately we generally use Aston and Bainbridge mass spectrometers .
{\purple{\boxed{\large{\bold{1J=6.42\times10{}^{18}ev}}}}}
1J=6.42×10
18
ev