1
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
$$E\left( {_{92}^{236}U} \right) = E\left( {_{56}^{140}Ba} \right) + E\left( {_{36}^{94}Kr} \right) + 2E(n)$$
2
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
3
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

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

4
IIT-JEE 2005 Mains
MCQ (Single Correct Answer)
+3
-1

Highly energetic electrons are bombarded on a target of an element containing 30 neutrons. The ratio of radii of nucleus to that of Helium nucleus is $$(14)^{\frac{1}{3}}$$. Find

(A) Atomic number of the nucleus;

(B) the frequency of $$\mathrm{K}_{\alpha}$$ line of the X-ray produced.

$$\left(\mathrm{R}=1.1 \times 10^{7} \mathrm{~m}^{-1}\right.$$ and $$\left.c=3 \times 10^{8} \mathrm{~m} / \mathrm{s}\right)$$

A
(A) 26 ; (B) $$2.55 \times 10^{18} \mathrm{~Hz}$$
B
(A) 26 ; (B) $$1.55 \times 10^{18} \mathrm{~Hz}$$
C
(A) 36 ; (B) $$1.55 \times 10^{18} \mathrm{~Hz}$$
D
(A) 46 ; (B) $$2.55 \times 10^{18} \mathrm{~Hz}$$

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