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# The Nature of Matter

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## The Nature of Matter Answer Key

1.
Which of the following represents Planck's constant, h?
1. $6.626 xx 10^-34 J•s$
2. $6.626 xx 10^-32 J•s$
3. $6.626 xx 10^-31 J•s$
4. $6.626 xx 10^-30 J•s$

2.
Which of the following equations represents the energy lost or gained?
1. $∆E=∆mc^2$
2. $∆E=∆(mc)^2$
3. $∆E=nhv$
4. $∆E={nh}/v$
3.
How is energy transferred?
1. in packets of energy called protons
2. in the form of subatomic particles
3. in the form of photons and subatomic particles
4. in the form of photons

4.
Which of the following equations represents the energy of a photon, in terms of wavelength?
1. $∆E=nhv$
2. $E={hc}/lambda$
3. $E=mc^2$
4. $E=hc$
5.
Which of the following equations can be used to solve for wavelength in diffraction patterns?
1. $lambda={hm}/v$
2. $lambda=v/{mh}$
3. $lambda={h}/m xx v$
4. $lambda=h/{mv}$

6.
All matter has both particle and wave properties.
7.
Which of the following equations represents energy that can be used in problems involving specific energy transitions?
1. E=$(-2.178 xx 10^-18 J)(Z^2/n^2)$
2. ∆E=$h/{mv}$
3. $∆E=nhv$
4. ∆E=hf

8.
Calculate ∆E when the following transition occurs in a hydrogen atom: $n=4 rarr n=2$.
1. $-1.36 xx 10^-19 J$
2. $-4.084 xx 10^-19 J$
3. $-5.45 xx 10^-19 J$
4. $4.084 xx 10^-19 J$
9.
Calculate ∆E when the following transition occurs in a hydrogen atom: $n=2 rarr n=6$.
1. $-5.45 xx 10^-19 J$
2. $-6.05 xx 10^-20 J$
3. $4.84 xx 10^-19 J$
4. $-4.84 xx 10^-19 J$

10.
Calculate ∆E when the following energy change occurs: n=1 to n=5.
• $2.091 xx 10^-18 J$
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