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Chapter 37: Q.1 : Excercises And Problems (page 1081)

What are the wavelengths of spectral lines in the Balmer
series with $n = 6, 8$ and $10$ ?

Short Answer

Expert verified

The wavelengths of spectral lines in the Balmer

series with n $=$ $6$ , $8$ and $10$ are $410.31$ (nm) , $389.03$ (nm) and $379.92$ (nm) respectively..

Step by step solution

01

Given information

We can use the formula for the balmer series :

$\frac{1}{2^{2}} - \frac{1}{n^{2}} = \frac{91.18 (n m)}{λ} (n = 3, 4, 5, 6 . . . . .)$

$λ = \frac{91.18 (n m)}{\frac{1}{2^{2}} - \frac{1}{n^{2}}} λ_{6} = \frac{91.18 (n m)}{\frac{1}{2^{2}} - \frac{1}{6^{2}}} (s u b s t i t u t e n = 6) λ_{6} = 410.31 n m λ_{8} = \frac{91.18 (n m)}{\frac{1}{2^{2}} - \frac{1}{8^{2}}} (s u b s t i t u t e n = 8) λ_{8} = 389.01 n m λ_{10} = \frac{91.18 (n m)}{\frac{1}{2^{2}} - \frac{1}{10^{2}}} (s u b s t i t u t e n = 10) λ_{10} = 379.92 n m$

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Most popular questions from this chapter

The oxygen nucleus ¹⁶O has a radius of 3.0 fm.

a. With what speed must a proton be fired toward an oxygen nucleus to have a turning point 1.0 fm from the surface? Assume the nucleus remains at rest.

b. What is the proton’s kinetic energy in MeV?

a. A $^{238} U$ nucleus has a radius of $7.4 fm$ . What is the density, in $kg / m^{3}$ , of the nucleus?

b. A neutron star consists almost entirely of neutrons, created when electrons and protons are squeezed together under immense gravitational pressure, and it has the density of an atomic nucleus. What is the radius, in km, of a neutron star with the mass of the sun ?

A ²²²Rn atom (radon) in a 0.75 T magnetic field undergoes radioactive decay, emitting an alpha particle in a direction perpendicular to $\vec{B}$ . The alpha particle begins cyclotron motion with a radius of 45 cm. With what energy, in MeV, was the alpha particle emitted?

Determine:

a. The speed of a $7.0 M e V$ neutron.

b. The speed of a $15 M e V$ helium atom.

c. The specific type of particle that has $1.14 k e V$ of kinetic energy when moving with a speed of localid="1648723450518" role="math" $2.0 \times 10^{7} m / s$ .

Your friend flies from Los Angeles to New York. She carries an accurate stopwatch with her to measure the flight time. You and your assistants on the ground also measure the flight time.

a. Identify the two events associated with this measurement.

b. Who, if anyone, measures the proper time?

c. Who, if anyone, measures the shorter flight time?

See all solutions

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