Concept:
DNA probes are short, labeled DNA molecules used to detect complementary DNA or RNA sequences. Radioactive labeling is commonly performed using isotopes such as \(^{32}P\). If the labeling efficiency is given as a percentage, it represents the fraction of nucleotides that become radioactive.
The number of labeled nucleotides is calculated using
\[
\boxed{
\text{Labelled Nucleotides}
=
\text{Total Nucleotides}
\times
\frac{\text{Efficiency}}{100}
}
\]
Step 1: Write the given values.
Total nucleotides
\[
=1000
\]
Labeling efficiency
\[
=10\%
\]
Step 2: Calculate the number of labelled nucleotides.
Using the formula,
\[
\text{Labelled nucleotides}
=
1000\times\frac{10}{100}
\]
\[
=
1000\times0.10
\]
\[
=\boxed{100}
\]
Step 3: Select the correct option.
The DNA probe contains
\[
\boxed{100\ \text{radioactively labelled nucleotides}}
\]
Hence,
\[
\boxed{Option (C) is correct
\]