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JEE Mains Previous Years Questions with Solutions

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1

AIEEE 2003

MCQ (Single Correct Answer)
Which of the following cannot be emitted by radioactive substances during their decay ?
A
Protons
B
Neutrinoes
C
Helium nuclei
D
Electrons

Explanation

The radioactive substances emit $$\alpha $$ -particles (Helium nucleus), $$\beta $$ -particles (electrons) and neutrinoes.
2

AIEEE 2003

MCQ (Single Correct Answer)
In the nuclear fusion reaction $$${}_1^2H + {}_1^3H \to {}_2^4He + n$$$
given that the repulsive potential energy between the two nuclei is $$ \sim 7.7 \times {10^{ - 14}}J$$, the temperature at which the gases must be heated to initiate the reaction is nearly
[ Boltzmann's Constant $$k = 1.38 \times {10^{ - 23}}\,J/K$$ ]
A
$${10^7}\,\,K$$
B
$${10^5}\,\,K$$
C
$${10^3}\,\,K$$
D
$${10^9}\,\,K$$

Explanation

The average kinetic energy per molecule $$ = {3 \over 2}kT$$

This kinetic energy should be able to provide the repulsive potential energy

$$\therefore$$ $${3 \over 2}kT = 7.7 \times {10^{ - 14}}$$

$$ \Rightarrow T = {{2 \times 7.7 \times {{10}^{ - 14}}} \over {3 \times 1.38 \times {{10}^{ - 23}}}} = 3.7 \times {10^9}$$
3

AIEEE 2003

MCQ (Single Correct Answer)
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

Explanation

The wavelength of spectrum is given by

$${1 \over \lambda } = R{z^2}\left( {{1 \over {n_1^2}} - {1 \over {n_2^2}}} \right)$$

where $$R = {{1.097 \times {{10}^7}} \over {1 + {m \over M}}}$$

where $$m=$$ mass of electron

$$M=$$ mass of nucleus.

For different $$M,R$$ is different and therefore $$\lambda $$ is different
4

AIEEE 2003

MCQ (Single Correct Answer)
Which of the following atoms has the lowest ionization potential ?
A
$${}_7^{14}N$$
B
$${}_{55}^{133}\,Cs$$
C
$${}_{18}^{40}\,Ar$$
D
$${}_8^{16}\,O$$

Explanation

The ionisation potential increases from left to right in a period and decreases from top to bottom in a group. Therefore ceasium will have the lowest ionisation potential.

Questions Asked from Atoms and Nuclei

On those following papers in MCQ (Single Correct Answer)
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