Question

The wavelength of light of a particular colour is 5800 Angstrom . (a) Express it in (i) nanometre and (ii) metre.(b) what is its order of magnitude in metre ?

Answer 1

The wavelengths of light is 5800 A

1nm = 10 A

5800 A = 5800 /10 = 580 nm

10000000000 = 1m

5800 A = 5800/10000000000

= 5.8 × 10^-7 m....

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Answer 2

Given: Wavelength of light in Angstrom, a = 5800°A

To Find: Wavelength of light in the nanometre, b.

              The wavelengthavelength of light in meters, c.

              Order of magnitude in meters.

Solution:  

To calculate b, concept used-

As,1 nanometre = 10°A

or, 10°A = 1 nm

So, 5800°A = [(1/10) x 5800]nm

                   = 580nm

To calculate c, concept used-

As, 1 meter = 10¹⁰ °A

or, 10¹⁰ °A = 1 m

So, 5800°A = [(1/10¹⁰ )x 5800] m

                   = 5800 x 10⁻¹⁰ m

                   = 5.8 x 10⁻⁷m

To calculate the order of magnitude in meters, the formula used-

• if a number n = a x 10ˣ, then x is the order of magnitude of the number i.e. the power of 10.
• As  5800°A=   5.8 x 10⁻⁷m
• And, on comparing, order of magnitude in meter = 7.

Hence, the wavelength of 5800°A light in nanometer is 580nm.

            the wavelength of 5800°A light in meter is 5.8 x 10⁻⁷m.

and, the order of magnitude in meters is 7.