Which type of electromagnetic radiation has the highest energy? red light gamma

Question

Which type of electromagnetic radiation has the highest energy? red light gamma rays x rays blue light radio waves What is the wavelength of light emitted when the electron in a hydrogen atom undergoes a transition n = 9 to level n = 4? (c=3.00 x 10^8m/s, h=6.63 x 10^-34 J middot s. R_H=2.179 x 10^-18 J) 1.09 x 10^-19 m 3.64 x 10^-28 m 1.65 x 10^14 m 2 x 10-6 m 5.49 x 10^5 m the angular momentum quantum number is best associated with the number of orbitals in a subshell. orientation in space of an orbital. shape of the orbital. energy of the orbital. none of the above

Explanation / Answer

Ans 44. Option b Gamma rays are highest energy in electromagnetic radiation

Ans 45.

According to Balmer formula

Delta E = RH [1/n12 – 1/n22]

Here n2 = 9 , n1 = 4, RH = 2.179*10-18

Putting these values in the equation we get

Delta E =2.179*10-18(1/42 -1/92) = 2.179*10-18 *0.139 =0.3029*10-18

#DeltaE = -h* nu = -(hc)/()

So = (h*c)/(-DeltaE)#

Therefore = 6.63*10-34 x 3*108/(0.3029*10-18) = 65.66 x 10-8m=0.656x10-6m

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