Chapter 41: Q. 18 (page 1207)

$1.0 \times 10^{6}$ sodium atoms are excited to the $3 p$ state at $t = 0$ s. How many of these atoms remain in the $3 p$ state at
(a) $t = 10 n s$
(b) $t = 30 n s$ , and
(c) $t = 100 n s$ ?

Short Answer

Expert verified

(a). The atoms is $5.6 \times 10^{5}$ .

(b). The atoms is $1.7 \times 10^{5}$ .

(c). The atoms is $3.0 \times 10^{3}$ .

Step by step solution

Part (a) step 1: Given Information

We have to given $t = 10 n s$ .

Part (a) step 2: Simplify

Consider :

$T = 17 n s N_{0} = 1.0 \times 10^{6}$

using formula:

$N_{e} = N_{0} e^{\frac{- t}{Τ}}$

Now, we find for $t = 10 n s$ :

$N_{e} = N_{0} e^{\frac{- t}{Τ}} N_{e} = (1.0 \times 10^{6}) e^{\frac{- 10 n s}{17 n s}} N_{e} = 5.6 \times 10^{5}$

Part (b) step 1: Given Information

We have to given $t = 30 n s$ ..

Part (b) step 1: Simplify

We find for $t = 30 n s$ .

role="math" localid="1650277679093"

N_{e} = N_{0} e^{\frac{- t}{Τ}} N_{e} = (1.0 \times 10^{6}) e^{\frac{- 30 n s}{17 n s}} N_{e} = 1.7 \times 10^{5}

Part (c) step 1: Given Information

We have to given $t = 100 n s$ .

Part (c) step 2: Simplify

We find for $t = 100 n s$ .

$N_{e} = N_{0} e^{\frac{- t}{Τ}} N_{e} = (1.0 \times 10^{6}) e^{\frac{- 100 n s}{17 n s}} N_{e} = 3.0 \times 10^{3}$

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$1.0 \times 10^{6}$ sodium atoms are excited to the $3 p$ state at $t = 0$ s. How many of these atoms remain in the $3 p$ state at
(a) $t = 10 n s$
(b) $t = 30 n s$ , and
(c) $t = 100 n s$ ?

Short Answer

Step by step solution

Part (a) step 1: Given Information

Part (a) step 2: Simplify

Part (b) step 1: Given Information

Part (b) step 1: Simplify

Part (c) step 1: Given Information

Part (c) step 2: Simplify

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1.0×106sodium atoms are excited to the 3pstate at t=0s. How many of these atoms remain in the 3pstate at(a) t=10ns(b)t=30ns, and(c) t=100ns?

Short Answer

Step by step solution

Part (a) step 1: Given Information

Part (a) step 2: Simplify

Part (b) step 1: Given Information

Part (b) step 1: Simplify

Part (c) step 1: Given Information

Part (c) step 2: Simplify

One App. One Place for Learning.

Most popular questions from this chapter

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Electricity and Magnetism

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$1.0 \times 10^{6}$ sodium atoms are excited to the $3 p$ state at $t = 0$ s. How many of these atoms remain in the $3 p$ state at
(a) $t = 10 n s$
(b) $t = 30 n s$ , and
(c) $t = 100 n s$ ?