1
IIT-JEE 2008 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1

In a mixture of H - He$$^+$$ gas (He$$^+$$ is singly ionized He atom), H atoms and He$$^+$$ ions are excited to their respective first excited states. Subsequently, H atoms transfer their total excitation energy to He$$^+$$ ions (by collisions). Assume that the Bohr model of atom is exactly valid.

The ratio of the kinetic energy of the $$n=2$$ electron for the H atom to that of He$$^+$$ ion is

A
$$\frac{1}{4}$$
B
$$\frac{1}{2}$$
C
1
D
2
2
IIT-JEE 2007 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1

In the option given below, let E denote the rest mass energy of a nucleus and n a neutron. The correct option is

A
$$E\left( {_{92}^{236}U} \right) > E\left( {_{53}^{137}I} \right) + E\left( {_{39}^{97}Y} \right) + 2E(n)$$
B
$$E\left( {_{92}^{236}U} \right) < E\left( {_{53}^{137}I} \right) + E\left( {_{39}^{97}Y} \right) + 2E(n)$$
C
$$E\left( {_{92}^{236}U} \right) < E\left( {_{56}^{140}Ba} \right) + E\left( {_{36}^{94}Kr} \right) + 2E(n)$$
D
$$E\left( {_{92}^{236}U} \right) = E\left( {_{56}^{140}Ba} \right) + E\left( {_{36}^{94}Kr} \right) + 2E(n)$$
3
IIT-JEE 2007 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1

The largest wavelength in the ultraviolet region of the hydrogen spectrum is 122 nm. The smallest wavelength in the infrared region of the hydrogen spectrum (to the nearest integer) is

A
802 nm
B
823 nm
C
1882 nm
D
1648 nm
4
IIT-JEE 2006
MCQ (Single Correct Answer)
+3
-0

$$ \text { Match the following Columns. } $$

Column I Column II
(A) Nuclear fusion. (P) Converts some matter into energy.
(B) Nuclear fission. (Q) Generally possible for nuclei with low atomic number.
(C) $\beta$-decay. (R) Generally possible for nuclei with higher atomic number.
(D) Exothermic nuclear reaction. (S) Essentially proceeds by weak nuclear forces.
A
$$ [\mathrm{A} \rightarrow( \mathrm{Q}) ; \mathrm{B} \rightarrow(\mathrm{P}, \mathrm{R}) ; \mathrm{C} \rightarrow(\mathbf{P}, \mathbf{S}) ; \mathbf{D} \rightarrow( \mathbf{R})] $$
B

$$ [\mathrm{A} \rightarrow(\mathrm{P}) ; \mathrm{B} \rightarrow(\mathrm{P}, \mathrm{R}) ; \mathrm{C} \rightarrow(\mathbf{P}) ; \mathbf{D} \rightarrow(\mathbf{P}, \mathbf{Q}, \mathbf{R})] . $$

C

$$ [\mathrm{A} \rightarrow(\mathrm{P}, \mathrm{Q}) ; \mathrm{B} \rightarrow(\mathrm{P}, \mathrm{R}) ; \mathrm{C} \rightarrow(\mathbf{P}, \mathbf{S}) ; \mathbf{D} \rightarrow(\mathbf{P}, \mathbf{Q}, \mathbf{R})] . $$

D

$$ [\mathrm{A} \rightarrow(\mathrm{P}, \mathrm{Q}) ; \mathrm{B} \rightarrow(\mathrm{P}, \mathrm{R}) ; \mathrm{C} \rightarrow( \mathbf{S}) ; \mathbf{D} \rightarrow(\mathbf{P}, \mathbf{Q})] . $$

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