Question

The wavelength of light of a particular colour is $ 5800{\text{ }}\mathop A\limits^\circ $ . What is its order of magnitude in meters?

Answer 1

Hint :Convert the given value in the required specific units by using the conversion relation. Use the formula - $ 1\mathop {{\text{ }}A}\limits^\circ = 1 \times {10^{ - 10}}meter $ . Place the relation and simplify the equation using the basic mathematical calculations.

Complete Step By Step Answer:
We know the basic relation between Metres and Angstrom.
 $ 1\mathop {{\text{ }}A}\limits^\circ = 1 \times {10^{ - 10}}meter $
Place the value in the given value –
 $ 5800\mathop {{\text{ }}A}\limits^\circ = 5800 \times {10^{ - 10}}meter $
Simplify the above equation –
 $ 5800\mathop {{\text{ }}A}\limits^\circ = 5.8 \times {10^{ - 7}}meter $
Hence, the required answer is – the magnitude of the light in meters is $ 5.8 \times {10^{ - 7}} $

Additional Information:
There are three systems of units.
They are –
a.) MKS system (Meter Kilogram second)
b.) CGS system (Centimetre Gram Second)
c.) SI units (System International)
Always check the units of the given term, all the given terms should be in the same system and then start solving. Also, remember the conversional relations of the different physical quantities and apply accordingly.

Note :
Remember the correct formula or the conversion relation among the units to solve these types of solutions. Rest goes well, just substitution and simplification. Also, refer to the types of systems of units to know the correlation among the terms.