Question

Which of the following electron transitions will result in emission of light with the largest wavelength.

If the n-5 to the n-2 electron transition in a hydrogen atom occurs at 434 nm, violet is in the range of visible light Sort the following transitions into their likely category. Only one transition should be sorted into each category.

 Items (4 items) Drag and drop into the appropriate ana below) 

Answer 1

RH   = 109737cm^-1

n1 = 1

n2 = 6

1/$\lambda$    = RH(1/n1^2 - 1/n2^2)

1/$\lambda$     = 109737(1/(1)^2 - 1/(6)^2)

1/$\lambda$      = 109737(1-0.027)

1/$\lambda$      = 106774cm^-1

$\lambda$        = 9.36*10^-6cm

            = 936A⁰

n = 5 to n= 6

1/$\lambda$    = RH(1/n1^2 - 1/n2^2)

1/$\lambda$     = 109737(1/(5)^2 - 1/(6)^2)

1/$\lambda$      = 109737(0.04-0.027)

1/$\lambda$      = 1426.58cm^-1

$\lambda$        = 7*10^-4cm

            = 70000A⁰   has largest wave length

n = 6 to n = 1

1/$\lambda$    = RH(1/n1^2 - 1/n2^2)

1/$\lambda$     = 109737(1/(6)^2 - 1/(1)^2)

1/$\lambda$      = 109737(0.027-1)

1/$\lambda$      = -106774cm^-1

$\lambda$        = -9.36*10^-6cm

            = -936A⁰

n = 2 to n = 1

1/$\lambda$    = RH(1/n1^2 - 1/n2^2)

1/$\lambda$     = 109737(1/(2)^2 - 1/(1)^2)

1/$\lambda$      = 109737(0.5-1)

1/$\lambda$      = -54868.5cm^-1

$\lambda$        = -1.8*10^-5cm

            = -18000A⁰

n = 5 to n= 6 has largest wave length

visible light violet ----------    visible light aqua------------------    ultra violet light --------      infrared

n = 6 to n= 2   ------------      n = 4 to n = 2-------------------     n = 5 to n= 1 ----------           n = 4 to n= 3