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JEE Mains Previous Years Questions with Solutions

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1

AIEEE 2007

MCQ (Single Correct Answer)
If $${M_O}$$ is the mass of an oxygen isotope $${}_8{O^{17}}$$ , $${M_p}$$ and $${M_N}$$ are the masses of a proton and neutron respectively, the nuclear binding energy of the isotope is
A
$$\left( {{M_O} - 17{M_N}} \right){C^2}$$
B
$$\left( {{M_O} - 8{M_P}} \right){C^2}$$
C
$$\left( {{M_O} - 8{M_P} - 9{M_N}} \right){C^2}$$
D
$${{M_O}{c^2}}$$

Explanation

Binding energy

$$ = \left[ {Z{M_p} + \left( {A - Z} \right){M_N} - M} \right]{c^2}$$

$$ = \left[ {8{M_p} + \left( {17 - 8} \right){M_N} - M} \right]{c^2}$$

$$ = \left[ {8{M_p} + 9{M_N} - M} \right]{c^2}$$

$$ = \left[ {8{M_p} + 9{M_N} - {M_O}} \right]{c^2}$$
2

AIEEE 2006

MCQ (Single Correct Answer)
The energy spectrum of $$\beta $$-particles [ number $$N(E)$$ as a function of $$\beta $$-energy $$E$$ ] emitted from a radioactive source is
A
B
C
D

Explanation

The range of energy of $$\beta $$-particles is from zero to some maximum value.
3

AIEEE 2006

MCQ (Single Correct Answer)
The $$'rad'$$ is the correct unit used to report the measurement of
A
the ability of a beam of gamma ray photons to produce ions in a target
B
the energy delivered by radiation to a target
C
the biological effect of radiation
D
the rate of decay of radioactive source

Explanation

The risk posed to a human being by any radiation exposure depends partly upon the absorbed dose, the amount of energy absorbed per gram of tissue. Absorbed dose is expressed in rad. A rad is equal to $$100$$ $$ergs$$ of energy absorbed by $$1$$ gram of tissue. The more modern, internationally adopted unit is the gray (named after the English medical physicist $$L.$$ $$H.$$ Gray); one gray equals $$100$$ rad.
4

AIEEE 2006

MCQ (Single Correct Answer)
If the binding energy per nucleon in $${}_3^7Li$$ and $${}_2^4He$$ nuclei are $$5.60$$ $$MeV$$ and $$7.06$$ $$MeV$$ respectively, then in the reaction $$$p + {}_3^7Li \to 2\,{}_2^4He$$$
energy of proton must be
A
$$28.24$$ $$MeV$$
B
$$17.28$$ $$MeV$$
C
$$1.46$$ $$MeV$$
D
$$39.2$$ $$MeV$$

Explanation

Let $$E$$ be the energy of proton, then

$$E + 7 \times 5.6 = 2 \times \left[ {4 \times 7.06} \right]$$

$$ \Rightarrow E = 56.48 - 39.2 = 17.28MeV$$

Questions Asked from Atoms and Nuclei

On those following papers in MCQ (Single Correct Answer)
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