If our eyes could see a slightly wider region of the electromagnetic spectrum, we would see a fifth line in the balmer series emission spectrum. calculate the wavelength λλlambda associated with the fifth line.

λ = 397 nm

Explanation:

given,

Rydberg wavelength equation for Balmer series

R is the Rydberg constant, R = 1.097 x 10⁷ m⁻¹

n_i = initial energy level  

n_f = final energy level

where as for Balmer series n_f = 2

            n_i = 7

Hence, the wavelength is equal to  λ = 397 nm

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol  

b. a hockey puck sliding across the ice  

c. a compressed spring  

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice   is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice   is the correct option.