Nuclei Test

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Nuclei Test - 52

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Weekly Quiz Competition

Question 1
1 / -0

Choose correct statement(s)

A
The density of nuclear matter is independent of the size of the nucleus

B
The binding energy per nucleon, for nuclei of middle mass number, is about $$8$$MeV

C
A free neutron is unstable

D
A free proton is stable

Solution
Question 2
1 / -0

A person needs glasses for driving is suffering from which defect in his vision

A
Astarmagnrtism

B
Myopia

C
Presbyopia

D
Hypermetropia

Solution

Near-sightedness, also known as short-sightedness and myopia, is an eye disorder where light focuses in front of, instead of on, the retina. This causes distant objects to be blurry while close objects appear normal
Question 3
1 / -0

If the mass of $$ proton = 1.008 a.m.u. $$ and mass of $$neutron =1.009 a.m. u.$$, then binding energy per nucleon for $$ _4 Be^9$$ $$(mass = 9.012 a mu )$$ would be:

A
$$40.065 Me v$$

B
$$ 60.44 Me V$$

C
$$67.2 Me v $$

D
$$ 6.72 Me v$$

Solution

mass defect is $$\Delta m=4m_p+(9-4)m_n-m_{Be}=(4\times 1.008+5\times 1.009-9.012)amu=0.065amu$$

so Binding energy of $$_4Be^9$$ will be $$\Delta m \times 931.5Mev=.065\times 931.5Mev=60.5475Mev$$
or the binding energy per nucleon will be $$\dfrac{BE}{nucleon}=\dfrac{60.5475}{9}=6.7275Mev$$
Question 4
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$$AB_2$$ and $$A_2B_2$$ are two compounds of the elements A and B. 0.25 mole of each of these compounds weights 9 g and 16 g respectively. Find the atomic masses of A and B.

A
28,4

B
28,8

C
13, 19

D
52,36

Solution
Question 5
1 / -0

The binding energy per nucleon for the parent nucleus is $$E_1$$ and that for the daughter nuclei is $$E_2$$. Then :

A
$$E_1= 2E$$

B
$$E_1>E_2$$

C
$$E_2>E_1$$

D
$$E_2=E_1$$

Solution
Question 6
1 / -0

The binding energies of the nuclei A and B are $$E _ { a }$$ and $$E _ { b }$$ respectively. Three nuclei of the element B fuse to give one nucleus of element 'A' and an energy 'Q' is released. Then $$E _ { a } , E _ { b } , \underline { Q }$$ are related

A
$$E _ { a } - 3 E _ { b } = Q$$

B
$$3 E _ { b } - E _ { a } = Q$$

C
$$E _ { a } + 3 E _ { b } = Q$$

D
$$E _ { b } + 3 E _ { a } = Q$$

Solution

The binding energy of reactants is $$Q_r=3E_b$$
The binding energy of product is $$Q_p=E_a$$
the enrgy released will be $$Q=Q_r-Q_p=3E_b-E_a$$
Question 7
1 / -0

A nuclear transformation is denoted by $$ X(n, \alpha) \ ^7_3 Li $$, then the element X will be :-

A
$$ ^{10}_5 B $$

B
$$ ^9_5 B $$

C
$$ ^{11}_4 Be $$

D
$$ ^4_2 He $$

Solution

Since Nuclear Transformtion is given as
$$^A_ZX+^1_0n\rightarrow ^4_2He+^7_3Li$$
On Applying conservation of mass no. and charge no.
$$A+1=4+7$$ (mass No. Conservation)
$$Z+0=2+3$$ (charge No. Conservation)
$$\Rightarrow A=10$$ and $$Z=5$$
$$\therefore$$ Element will be $$^{10}_5B$$
Question 8
1 / -0

According to binding energy per nucleon versus mass number curve, which is not correct?

A
Two light nuclei fuse to form medium sized nuclei.

B
A heavy nucleus fission to form two medium sized nuclei.

C
Two medium sized nucleus fuse to form a heavy nucleus.

D
The peak of the curve corresponds the most stable nucleus.

Solution

According to binding energy per nucleon versus mass number curve-

Two light nuclei fuse to form medium sized nuclei.
Question 9
1 / -0

In a hydrogen atom, the binding energy of the electron in the nth state is $$ E_n $$,then the frequency of revolution of the electron in the nth orbit is:

A
$$ 2E_n/nh $$

B
$$ 2E_nn/h $$

C
$$ E_n/nh $$

D
$$ E_nn/h $$

Solution

We know that, Kinetic energy=Binding energy
$$\cfrac { 1 }{ 2 } m{ v }^{ 2 }={ E }_{ n }----(i)\\ mvr=\cfrac { nh }{ 2\pi } ----(ii)$$
Dividing (i) by (ii),
$$\cfrac { v }{ 2\pi r } =\cfrac { 2{ E }_{ n } }{ nh } $$
Therefore, the frequency of revolution of the electron in the nth orbit is$$=\cfrac { 2{ E }_{ n } }{ nh } $$
Question 10
1 / -0

The speed of daughter nuclei is

A
$$c \dfrac{\triangle m}{M+\triangle m}$$

B
$$c \sqrt{\dfrac{2 \triangle m}{M}}$$

C
$$c \sqrt{\dfrac{\triangle m}{M}}$$

D
$$c\sqrt{\dfrac{\triangle m}{M+ \triangle m}}$$

Solution

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Re-Attempt Weekly Quiz Competition

Nuclei Test - 52

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Nuclei Test - 52

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SHARING IS CARING

Question 1

The density of nuclear matter is independent of the size of the nucleus

The binding energy per nucleon, for nuclei of middle mass number, is about $$8$$MeV

A free neutron is unstable

A free proton is stable

Solution

Question 2

Astarmagnrtism

Myopia

Presbyopia

Hypermetropia

Solution

Question 3

$$40.065 Me v$$

$$ 60.44 Me V$$

$$67.2 Me v $$

$$ 6.72 Me v$$

Solution

Question 4

28,4

28,8

13, 19

52,36

Solution

Question 5

$$E_1= 2E$$

$$E_1>E_2$$

$$E_2>E_1$$

$$E_2=E_1$$

Solution

Question 6

$$E _ { a } - 3 E _ { b } = Q$$

$$3 E _ { b } - E _ { a } = Q$$

$$E _ { a } + 3 E _ { b } = Q$$

$$E _ { b } + 3 E _ { a } = Q$$

Solution

Question 7

$$ ^{10}_5 B $$

$$ ^9_5 B $$

$$ ^{11}_4 Be $$

$$ ^4_2 He $$

Solution

Question 8

Two light nuclei fuse to form medium sized nuclei.

A heavy nucleus fission to form two medium sized nuclei.

Two medium sized nucleus fuse to form a heavy nucleus.

The peak of the curve corresponds the most stable nucleus.

Solution

Question 9

$$ 2E_n/nh $$

$$ 2E_nn/h $$

$$ E_n/nh $$

$$ E_nn/h $$

Solution

Question 10

$$c \dfrac{\triangle m}{M+\triangle m}$$

$$c \sqrt{\dfrac{2 \triangle m}{M}}$$

$$c \sqrt{\dfrac{\triangle m}{M}}$$

$$c\sqrt{\dfrac{\triangle m}{M+ \triangle m}}$$

Solution

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