SATHEE: Modern Physics 3 Question 2

Modern Physics 3 Question 2

2. Using a nuclear counter, the count rate of emitted particles from a radioactive source is measured. At $t = 0$ , it was 1600 counts per second and $t = 8 s$ , it was 100 counts per second. The count rate observed as counts per second at $t = 6 s$ is close to

(Main 2019, 10 Jan I)

(a) 400

(b) 200

(d) 360

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Solution:

Here given, at $t = 0$ , count rate or initial activity is

$A_{0} = 1600 s^{- 1} .$

At $t = 8 s$ , count rate or activity is

$A = 100 s^{- 1}$

So, decay scheme for given sample is

$\begin{aligned} 1600 \overset{T_{1 / 2}}{\to} 800 \overset{T_{1 / 2}}{\to} 400 \overset{T_{1 / 2}}{\to} 200 \overset{T_{1 / 2}}{\to} 100 \\ So, 8 s = 4 T_{1 / 2} \end{aligned}$

where, $T_{1 / 2} =$ Half-life time.

$\Rightarrow T_{1 / 2} = 2 s$

$∴$ From above decay scheme, we see that activity after $6 s$ is 200 counts per second.

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Modern Physics 3 Question 2

2. Using a nuclear counter, the count rate of emitted particles from a radioactive source is measured. At $t = 0$ , it was 1600 counts per second and $t = 8 s$ , it was 100 counts per second. The count rate observed as counts per second at $t = 6 s$ is close to

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Modern Physics 3 Question 2

2. Using a nuclear counter, the count rate of emitted particles from a radioactive source is measured. At t=0, it was 1600 counts per second and t=8s, it was 100 counts per second. The count rate observed as counts per second at t=6s is close to

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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2. Using a nuclear counter, the count rate of emitted particles from a radioactive source is measured. At $t = 0$ , it was 1600 counts per second and $t = 8 s$ , it was 100 counts per second. The count rate observed as counts per second at $t = 6 s$ is close to