Home Page Textbooks Physics Page 857: Practice Problems

Physics

1st Edition

Walker

ISBN: 9780133256925

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Page 857: Practice Problems

Exercise 3

Solution 1

Solution 2

Step 1

1 of 2

$textbf{Given:}$

$E = 0.80 times 10^{-33}$ J

$textbf{Find:}$ frequency of oscillation, $f$

To compute for $f$, we use the formula in getting the quantum of energy such that:

$$
begin{align*}
E &= hf \
f &= dfrac{E}{h} \
&= dfrac{0.80 times 10^{-33}}{6.626 times 10^{-34}} \
&= boxed{1.21 text{ Hz}}
end{align*}
$$

Result

2 of 2

$f = 1.21$ Hz

Step 1

1 of 2

Knowing that the energy quantum and frequency are connected by $E=hnu$ we get for the frequency

$$
nu=frac{E}{h}=frac{0.80times10^{-33}text{ J}}{6.62times 10^{-34}text{ J s}}=1.2text{ Hz}.
$$

Result

2 of 2

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Exercise 4

Solution 1

Solution 2

Step 1

1 of 2

$textbf{Given:}$

$n = 8.6 times 10^{32}$

$f = 1.5$ Hz

$textbf{Find:}$ Energy of oscillation, $E$

To compute for $E$, we use the formula in getting the quantized energy such that:

$$
begin{align*}
E &= nhf \
&= (8.6 times 10^{32}) times (6.626 times 10^{-34}) times (1.5) \
&= boxed{0.85 text{J}}
end{align*}
$$

Result

2 of 2

$E = 0.85$ J

Step 1

1 of 2

The energy is simply quantum number times the value of energy quantum i.e.

$$
E=nhnu = 8.6times10^{32}times6.62times10^{-34}text{ J s}times 1.5text{ Hz} =0.85text{ J}.
$$

Result

2 of 2

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Exercise 5

Solution 1

Solution 2

Step 1

1 of 2

$textbf{Given:}$

$E = 0.75$ J

$f = 0.5$ Hz

$textbf{Find:}$ quantum number of pendulum, $n$

To compute for $n$, we use the formula in getting the quantized energy such that:

$$
begin{align*}
E &= nhf \
n &= dfrac{E}{hf} \
&= dfrac{0.75 text{ J}}{(6.626 times 10^{-34} text{ Js})times(0.50 text{ Hz})} \
&= boxed{2.26 times 10^{33}}
end{align*}
$$

Result

2 of 2

$n = 2.26 times 10^{33}$

Step 1

1 of 2

The energy is simply quantum number times the value of energy quantum i.e.

$$
E=nhnu.
$$
This gives for the quantum number $n$

$$
n=frac{E}{hnu} = frac{0.75text{ J}}{6.62times10^{-34}text{ J}times 0.5text{ Hz}} = 2.26times 10^{33}.
$$

Result

2 of 2

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