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Question: The wavelength of light of a particular colour is \( 5800{\text{ }}\mathop A\limits^\circ \) . What ...

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

Explanation

Solution

Hint : Convert the given value in the required specific units by using the conversion relation. Use the formula - 1 A∘=1×10−10meter1\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 A∘=1×10−10meter1\mathop {{\text{ }}A}\limits^\circ = 1 \times {10^{ - 10}}meter
Place the value in the given value –
5800 A∘=5800×10−10meter5800\mathop {{\text{ }}A}\limits^\circ = 5800 \times {10^{ - 10}}meter
Simplify the above equation –
5800 A∘=5.8×10−7meter5800\mathop {{\text{ }}A}\limits^\circ = 5.8 \times {10^{ - 7}}meter
Hence, the required answer is – the magnitude of the light in meters is 5.8×10−75.8 \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.