Math, asked by saradapulavarthi77, 9 months ago

2. The wavelength of a spectral line emitted
by hydrogen atom in the Lyman series is
16/15R cm. What is the value of n,?
(R = Rydberg constant) (E-2007)
1 2 2 3 3 4 4 1​

Answers

Answered by eshaanshafi
2

Answer:

121.6

nm

Step-by-step explanation:

Explanation:

1

λ

=

R

(

1

(

n

1

)

2

1

(

n

2

)

2

)

Z

2

where,

R = Rydbergs constant (Also written is  R

H

)

Z = atomic number

Since the question is asking for  

1

s

t  line of Lyman series therefore

n

1

=

1

n

2

=

2

since the electron is de-exited from  1

(

st

)  exited state (i.e n

=

2

) to groundstate(i.e  n

=

1

) for first line of Lyman series

Therefore plugging in the values

1

λ

=

R

(

1

(

1

)

2

1(

2

)

2

)

1

2  Since the atomic number of Hydrogen is 1.  By doing the math, we get the wavelength as  λ

=

4

3

912

.

A

since  1

R

=

912

.

A  

therefore  λ

=

1216

.

A  or

r

λ

=

121.6

nm

Answered by sejalKhopade
28

Answer: n = 4

it's simple friend

for Lyman's series n1 = 1

1 / wavelength = R [ 1 / n1² — 1 / n2² ]....... formula

15R./ 16 = R [ 1— 1 / n2²]

16n² — 16 =15n²

n² =16

n = 4

plz mark it as a brainlist

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