1
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
When a $${U^{238}}$$ nucleus originally at rest, decays by emitting an alpha particle having a speed $$'u',$$ the recoil speed of the residual nucleus is
A
$${{4\mu } \over {238}}$$
B
$$ - {{4\mu } \over {234}}$$
C
$$ {{4\mu } \over {234}}$$
D
$$ - {{4\mu } \over {238}}$$
2
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
A nucleus with $$Z=92$$ emits the following in a sequence: $$$\alpha ,{\beta ^ - },{\beta ^ - },\alpha ,\alpha ,\alpha ,\alpha ,\alpha ,{\beta ^ - },{\beta ^ - },\alpha ,{\beta ^ + },{\beta ^ + },\alpha $$$

Then $$Z$$ of the resulting nucleus is

A
$$76$$
B
$$78$$
C
$$82$$
D
$$74$$
3
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
A radioactive sample at any instant has its disintegration rate $$5000$$ disintegrations per minute. After $$5$$ minutes, the rate is $$1250$$ disintegrations per minute. Then, the decay constant (per minute) is
A
$$0.4$$ $$ln2$$
B
$$0.2$$ $$ln2$$
C
$$0.1$$ $$ln2$$
D
$$0.8$$ $$ln2$$
4
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
The wavelengths involved in the spectrum of deuterium $$\left( {{}_1^2\,D} \right)$$ are slightly different from that of hydrogen spectrum, because
A
the size of the two nuclei are different
B
the nuclear forces are different in the two cases
C
the masses of the two nuclei are different
D
the attraction between the electron and the nucleus is different in the two cases
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