Write the following in terms of natural units: i) 20 m·s−1 ii) 4×105 kg·m·s−1 iii) 6.626×10−34...
- Write the following in terms of natural units:
- i) 20 m·s−1
ii) 4×105 kg·m·s−1
iii) 6.626×10−34 J·s
Homework Answers
Natural units are physical units of measurements. For example, e is the natural unit for charge and c is the natural unit of speed.
1)
since the units are of speed hence we have to write it in terms of c
now 3 x 10^ 8 m/s = 1 c
hence 20 m/s = 20 * c / 3 x 10^8 = 6.67 x 10^-8 c
2)
4 x 10^5 kg*m/s
where h is reduced planck's constant , G is gravitational constant and c is speed of light
hence kgm/s = root (hc^3/G) = 6.528
hence 1kgm/s = 6.528
hence 4 x 10^5 kgm/s = 4 x 10^5 x 6.528 = 2.611 x 10^6
3)
6.626 x 10-34 Js
now 1 Js = kg*m^2/s = 1.05 x 10^-34 on planck's scale
hence 6.626 x 10^-34 units will be = 6.626 x 10^-34 x 1.05 x 10^-34 = 6.96 x 10^-68
Add Answer to:
Write the following in terms of natural units:
i) 20 m·s−1
ii) 4×105
kg·m·s−1
iii)
6.626×10−34...
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