1
MCQ (Single Correct Answer)

AIPMT 2001

Energy released in nuclear fission is due to
A
some mass is converted into energy
B
total binding energy of fragments is more than the binding energy of parantal element
C
total binding energy of fragments is less than the binding energy of parental element
D
total binding energy of fragments is equal to the binding energy of parental element.

Explanation

Energy released in nuclear fission is due to some mass is converted into energy.
2
MCQ (Single Correct Answer)

AIPMT 2001

The energy of hydrogen atom in nth orbit is En then the energy in nth orbit of singly ionised helium atom will be
A
4En
B
En/4
C
2En
D
En/2

Explanation

As En = $${{ - 2{\pi ^2}m{K^2}{Z^2}{e^4}} \over {{n^2}{h^2}}}$$

For helium Z = 2. Hence requisite answer is 4En.
3
MCQ (Single Correct Answer)

AIPMT 2001

Mn and Mp represent the mass of neutron and proton respectively. An element having mass M has N neutrons and Z protons, then the correct relation will be
A
M < {N $$ \cdot $$ Mn + Z $$ \cdot $$ Mp}
B
M > {N $$ \cdot $$ Mn + Z $$ \cdot $$ Mp}
C
M = {N $$ \cdot $$ Mn + Z $$ \cdot $$ Mp}
D
M = N {Mn + Mp}

Explanation

Given : Mass of neutron = Mn
Mass of proton = Mp;
Atomic mass of the element = M ;
Number of neutrons in the element = N and number of protons in the element = Z.

We know that the atomic mass (M) of any stable nucleus is always less than the sum of the masses of the constituent particles.

Therefore, M $$<$$ [NMn + ZMp].

X is a neutrino, when b-particle is emitted.
4
MCQ (Single Correct Answer)

AIPMT 2001

The interplanar distance in a crystal is 2.8 $$ \times $$ 10$$-$$8 m. The value of maximum wavelength which can be diffracted
A
2.8 $$ \times $$ 10$$-$$8 m
B
5.6 $$ \times $$ 10$$-$$8 m
C
1.4 $$ \times $$ 10$$-$$8 m
D
7.6 $$ \times $$ 10$$-$$8 m

Explanation

2dsin$$\theta $$ = n$$\lambda $$

$$ \because $$ $$ - 1 \le \sin \theta \le 1$$

Therefore $$\lambda $$max = 2d

$$ \Rightarrow $$ $$\lambda $$max = 2 $$ \times $$ 2.8 $$ \times $$ 10$$-$$8

= 5.6 $$ \times $$ 10$$-$$8 m

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