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Question

Question: The frequency of electromagnetic wave which is best suitable to observe a particle of radius 3×\(10^...

The frequency of electromagnetic wave which is best suitable to observe a particle of radius 3×10410^{- 4}cm is of the ordr of

A

1015Hz10^{15}Hz

B

1014Hz10^{14}Hz

C

1013Hz10^{13}Hz

D

1012Hz10^{12}Hz

Answer

1015Hz10^{15}Hz

Explanation

Solution

: Let λ\lambdabe the radius of the particle then

λ=3×104×102m=3×106m\lambda = 3 \times 10^{- 4} \times 10^{- 2}m = 3 \times 10^{- 6}m

Frequency of electromagnetic wave,

υ=cλ=3×1083×106=1014\upsilon = \frac{c}{\lambda} = \frac{3 \times 10^{8}}{3 \times 10^{- 6}} = 10^{14}

Thus to observe the particle, the frequency of wave should be more the 101410^{14}i.e. 101510^{15}Hz or smaller value of wavelength.