Dual Nature, Atoms & Nuclei · JEE Main previous year questions

2005 5 questions

1. Q1402005 · 28 Apr 2005 · Shift 1

   If the kinetic energy of a free electron doubles, it's deBroglie wavelength changes by the factor

   1. A.$2$
   2. B.$\frac{1}{2}$
   3. C.$\sqrt{2}$
   4. D.$\frac{1}{\sqrt{2}}$
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   Answer: D

2. Q1412005 · 28 Apr 2005 · Shift 1

   A nuclear transformation is denoted by $X(n,\alpha {)}_3^7\mathrm{Li}$. Which of the following is the nucleus of element $X$ ?

   1. A.${}_5^{10}\mathrm{B}$
   2. B.${}^{12}{\mathrm{C}}_6$
   3. C.${}_4^{11}\mathrm{Be}$
   4. D.${}_5^9\mathrm{B}$
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   Answer: A

3. Q1432005 · 28 Apr 2005 · Shift 1
   
   1. A.$iv$
   2. B.$iii$
   3. C.$ii$
   4. D.$i$
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   Answer: B

4. Q1472005 · 28 Apr 2005 · Shift 1

   If radius of the ${}_{13}^{27}\mathrm{Al}$ nucleus is estimated to be $3.6\mathrm{fermi}$ then the radius of ${}_{52}^{125}\mathrm{Te}$ nucleus is estimated to be nearly

   1. A.$8\mathrm{fermi}$
   2. B.$6\mathrm{fermi}$
   3. C.$5\mathrm{fermi}$
   4. D.$4\mathrm{fermi}$
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   Answer: B

5. Q1482005 · 28 Apr 2005 · Shift 1

   Starting with a sample of pure ${}^{66}\mathrm{Cu}$, $\frac{7}{8}$ of it decays into $\mathrm{Zn}$ in 15 minutes. The corresponding half life is

   1. A.$15\text{ minutes}$
   2. B.$10\text{ minutes}$
   3. C.$7\frac{1}{2}\text{ minutes}$
   4. D.$5\text{ minutes}$
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   Answer: D