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Hydrogen Spectra

Let v1 be t...

Question

Let $v_{1}$ be the frequency of series limit of Lyman series, $v_{2}$ the frequency of the first line of Lyman series, and $v_{3}$ the frequency of series limit of Balmer series. Then which of the following is correct?

v_{1} - v_{2} = v_{3}

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v_{2} - v_{1} = v_{3}

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v_{3} = \frac{1}{2} (v_{1} + v_{2})

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v_{2} + v_{1} = v_{3}

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Solution

The correct option is A $v_{1} - v_{2} = v_{3}$
According to formula
Series limit of Lyman series
$v_{1} = c R (1)$
Series LImit of Balmer series
$v_{3} = \frac{c R}{4}$
First line of Lyman series
$v_{2} = c R (1 - \frac{1}{4}) = \frac{3}{4} c R$
So $v_{2} + v_{3} = v_{1}$

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Similar questions

Q. Let

ν_{1}

be the frequency of the series limit of the Lyman series,

ν_{2}

be the frequency of the first line of the Lyman series, and

ν_{3}

be the frequency of the series limit of the Balmer series, then

Q. The frequencies for series limit of Balmer and Paschen series respectively are

^{'} v_{1}^{'}

and

^{'} v_{3}^{'}

. If frequency of first line of Balmer series is

^{'} v_{2}^{'}

then the relation between

^{'} v_{1}^{'},^{'} v_{2}^{'}

and

^{'} v_{3}^{'}

Let $v_{1}$ be the frequency of the series limit of the Lyman series, $v_{2}$ be the frequency of the first line of Lyman series, and $v_{3}$ be the frequency of the series limit of Balmer series. Then

v_{1}

and

v_{2}

are the frequencies series limit for Lyman and Blamer series. Which relation is correct for frequency

v_{3}

I

line of Lyman series?

Q. Let

v_{1}

be the frequency of the series limited of the Lyman series,

v_{2}

be the frequency of the first line of the Lyman series, and

v_{3}

be the frequency of the series limited of the Balmer series. Then:

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Let v1 be the frequency of series limit of Lyman series, v2 the frequency of the first line of Lyman series, and v3 the frequency of series limit of Balmer series. Then which of the following is correct?

The correct option is A v1−v2=v3According to formulaSeries limit of Lyman seriesv1=cR(1)Series LImit of Balmer seriesv3=cR4First line of Lyman seriesv2=cR(1−14)=34cRSo v2+v3=v1

Let $v_{1}$ be the frequency of series limit of Lyman series, $v_{2}$ the frequency of the first line of Lyman series, and $v_{3}$ the frequency of series limit of Balmer series. Then which of the following is correct?

The correct option is A $v_{1} - v_{2} = v_{3}$
According to formula
Series limit of Lyman series
$v_{1} = c R (1)$
Series LImit of Balmer series
$v_{3} = \frac{c R}{4}$
First line of Lyman series
$v_{2} = c R (1 - \frac{1}{4}) = \frac{3}{4} c R$
So $v_{2} + v_{3} = v_{1}$