Units of Radioactivity: Becquerel and Curie

Physics · nuclei · NEET

Activity means the number of nuclei that decay each second. Its SI unit is the becquerel (Bq): 1 Bq = 1 decay per second. The older, bigger unit is the curie (Ci): 1 Ci = 3.7 x 10^10 Bq. Memory hook: "Bq is tiny (one tick), Ci is huge (a real radium gram)" because 1 Ci was defined as the activity of 1 gram of radium.
Units of Radioactivity (Activity R = lambda N)Becquerel (Bq)SI unit1 Bq = 1 decay / secondsmall unit (one tick)Curie (Ci)older, larger unit1 Ci = 3.7 x 10^10 Bq= activity of 1 g radiumx 3.7 x 10^10divide back
Becquerel is the small SI unit (1 decay per second); curie is the large unit equal to 3.7 x 10^10 Bq, originally the activity of 1 gram of radium.

Your doubts, answered

Is becquerel the SI unit? What exactly is 1 Bq?

Yes. The becquerel (Bq) is the SI unit of activity. 1 Bq = 1 disintegration (decay) per second. So if a sample has an activity of 500 Bq, exactly 500 of its nuclei break down every second. Because one decay per second is very small, real sources are often thousands or millions of Bq.

How many becquerel are in one curie?

1 Ci = 3.7 x 10^10 Bq. This number came from the measured activity of 1 gram of radium-226. So 1 curie is 37 billion decays per second. To go from Ci to Bq, multiply by 3.7 x 10^10; to go from Bq to Ci, divide by 3.7 x 10^10.

Which is bigger, becquerel or curie?

The curie is far bigger. 1 Ci = 3.7 x 10^10 Bq, so one curie equals 37 billion becquerel. That is why lab and medical sources are usually written in millicurie (mCi) or microcurie (uCi), while background counts are written in Bq or kBq.

What are millicurie and microcurie in becquerel?

1 mCi = 10^-3 Ci = 3.7 x 10^7 Bq. 1 uCi = 10^-6 Ci = 3.7 x 10^4 Bq = 37000 Bq. Just take the curie value and multiply by 3.7 x 10^10 after converting the prefix to a plain number.

Is there any other unit besides Bq and Ci?

Yes, a smaller practical unit called the rutherford (Rd) is sometimes mentioned: 1 Rd = 10^6 decays per second = 10^6 Bq. It is rare in NEET, but you may see it. For NEET, focus on Bq and Ci and the conversion 1 Ci = 3.7 x 10^10 Bq.

Does activity in Bq depend on the number of atoms or on half-life?

Both. Activity R = lambda x N, where lambda is the decay constant and N is the number of undecayed nuclei. Since lambda = 0.693 / half-life, a shorter half-life gives a larger lambda and thus a larger activity for the same N. So two samples with the same number of atoms can have very different Bq values.

⚠️ The NEET trap
Writing 1 curie = 3.7 x 10^10 disintegrations per minute or forgetting the 3.7 factor and using 10^10.
1 Ci = 3.7 x 10^10 disintegrations per SECOND = 3.7 x 10^10 Bq. Always keep the 3.7 and always use seconds.
🧠 Read the unit of TIME in the question. Curie and becquerel are both per second, never per minute.
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Frequently asked

What is 1 becquerel equal to?

1 becquerel (Bq) = 1 radioactive decay (disintegration) per second. It is the SI unit of activity and is named after Henri Becquerel, who discovered radioactivity in 1896.

What is 1 curie equal to in Bq?

1 curie (Ci) = 3.7 x 10^10 Bq = 3.7 x 10^10 decays per second. It was originally the activity of 1 gram of radium-226.

Why is the curie such an odd number like 3.7 x 10^10?

Because it was defined from a physical sample, not a round number. Scientists measured that 1 gram of radium gives about 3.7 x 10^10 decays per second, and fixed the curie at that value.

How do I convert 2 mCi to becquerel?

2 mCi = 2 x 10^-3 Ci. Multiply by 3.7 x 10^10 Bq/Ci: 2 x 10^-3 x 3.7 x 10^10 = 7.4 x 10^7 Bq.

Is activity the same as the number of atoms?

No. Activity is the number of atoms decaying per second, given by R = lambda x N. The number of atoms N is dimensionless (a count); activity R has units of Bq (per second).