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Q.

The ratio of frequencies of two electromagnetic radiations is 2:1 . The wave length of first radiation is X A° and for the second radiation is 2000 A° . Then the value of 'X

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a

4000 A°

b

500 A°

c

2000 A°

d

1000 A°

answer is B.

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Detailed Solution

We know

$E = hϑ$

$E = \frac{hc}{λ}$

$E_{1} = \frac{hc}{λ_{1}} and E_{2} = \frac{hc}{λ_{2}}$

$Then \frac{E_{1}}{E_{2}} = \frac{λ_{2}}{λ_{1}}$

$given \frac{E_{1}}{E_{2}} = \frac{2}{1}$

$λ_{2} = 2000 A °$

$λ_{1} = ?$

$Then \frac{2}{1} = \frac{2000 A °}{λ_{1}} \Rightarrow λ_{1} = \frac{2000 A °}{2}$

$λ_{1} = 1000 A °$

∴ Wavelength and frequency are inversely proportional.

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The ratio of frequencies of two electromagnetic radiations is 2:1 . The wave length of first radiation is X A° and for the second radiation is 2000 A° . Then the value of 'X