A parent nuclide A (decay constant λ 1 ) has N 0 number of atoms at time t = 0 . Nuclide A decays to nuclide B which further decays with decay constant λ 2 . [ N A = number of atoms of A at a given time, N B = number of atoms of B at a given time] List-I List-II (I) N A N 0 at time t = ln 2 λ 0 (P) 1 4 (II) N B N 0 at time t = ln 2 λ 0 (Q) 2 2 - 1 (III) Probability that a particular atom of A survives till time t = 2 ln 2 λ 0 (R) 2 (IV) The ratio of numbers of atoms of B and A , N B N A at time t = ln 2 λ 0 (S) 1 16 (T) 1 2 (U) 2 - 1 If λ 1 = λ 0 = 2 λ 2 then the correct match is

( I ) → ( T ) , ( II ) → ( U ) , ( III ) → ( P ) , ( IV ) → ( Q )

( I ) → ( T ) , ( II ) → ( P ) , ( III ) → ( Q ) , ( IV ) → ( U )

( I ) → ( T ) , ( II ) → ( Q ) , ( III ) → ( U ) , ( IV ) → ( P )

( I ) → ( P ) , ( II ) → ( T ) , ( III ) → ( U ) , ( IV ) → ( Q )

A parent nuclide A (decay constant λ 1 ) has N 0 number of atoms at time t = 0 . Nuclide A decays to nuclide B which further decays with decay constant λ 2 . [ N A = number of atoms of A at a given time, N B = number of atoms of B at a given time] List-I List-II (I) N A N 0 at time t = ln 2 λ 0 (P) 1 4 (II) N B N 0 at time t = ln 2 λ 0 (Q) 2 2 - 1 (III) Probability that a particular atom of A survives till time t = 2 ln 2 λ 0 (R) 2 (IV) The ratio of numbers of atoms of B and A , N B N A at time t = ln 2 λ 0 (S) 1 16 (T) 1 2 (U) 2 - 1 If λ 1 = 2 λ 0 , λ 2 = λ 0 then the correct match is

( I ) → ( P ) , ( II ) → ( T ) , ( III ) → ( S ) , ( IV ) → ( R )

( I ) → ( P ) , ( II ) → ( R ) , ( III ) → ( S ) , ( IV ) → ( U )

( I ) → ( R ) , ( II ) → ( P ) , ( III ) → ( U ) , ( IV ) → ( S )

( I ) → ( R ) , ( II ) → ( U ) , ( III ) → ( P ) , ( IV ) → ( Q )

A radioactive substance has an average life of 5 hours. In a time of 5 hours

more than half of the active nuclei decay

half of the active nuclei decay

less than half of the active nuclei decay

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The probability of disintegration per second of a nucleus in a given radio-active sample

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Important Questions on Nuclei

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Gamma Question Bank for Engineering Physics>Chapter 29 - Nuclei>Assignment>Q 11

The variation of decay rate of two radioactive samples A and B with time is shown in figure. Which of the following statements are true?

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Gamma Question Bank for Engineering Physics>Chapter 29 - Nuclei>Assignment>Q 12

Choose the correct statement(s).

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IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 29 - Nuclei>Assignment>Q 13

An unstable nucleus emits radiations to transform into less unstable state. Select the correct statement(s).

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Gamma Question Bank for Engineering Physics>Chapter 29 - Nuclei>Assignment>Q 3

A parent nuclide $A$ (decay constant $λ_{1}$ ) has $N_{0}$ number of atoms at time $t = 0 .$ Nuclide $A$ decays to nuclide $B$ which further decays with decay constant $λ_{2} .$ [ $N_{A} =$ number of atoms of $A$ at a given time, $N_{B} =$ number of atoms of $B$ at a given time]

List-I		List-II
(I)	$\frac{N_{A}}{N_{0}}$ at time $t = \frac{\ln 2}{λ_{0}}$	(P)	$\frac{1}{4}$
(II)	$\frac{N_{B}}{N_{0}}$ at time $t = \frac{\ln 2}{λ_{0}}$	(Q)	$2 (\sqrt{2} - 1)$
(III)	Probability that a particular atom of $A$ survives till time $t = \frac{2 \ln 2}{λ_{0}}$	(R)	$2$
(IV)	The ratio of numbers of atoms of $B$ and $A, \frac{N_{B}}{N_{A}}$ at time $t = \frac{\ln 2}{λ_{0}}$	(S)	$\frac{1}{16}$
		(T)	$\frac{1}{2}$
		(U)	$\sqrt{2} - 1$

If $λ_{1} = λ_{0} = 2 λ_{2}$ then the correct match is

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Gamma Question Bank for Engineering Physics>Chapter 29 - Nuclei>Assignment>Q 4

List-I		List-II
(I)	$\frac{N_{A}}{N_{0}}$ at time $t = \frac{\ln 2}{λ_{0}}$	(P)	$\frac{1}{4}$
(II)	$\frac{N_{B}}{N_{0}}$ at time $t = \frac{\ln 2}{λ_{0}}$	(Q)	$2 (\sqrt{2} - 1)$
(III)	Probability that a particular atom of $A$ survives till time $t = \frac{2 \ln 2}{λ_{0}}$	(R)	$2$
(IV)	The ratio of numbers of atoms of $B$ and $A, \frac{N_{B}}{N_{A}}$ at time $t = \frac{\ln 2}{λ_{0}}$	(S)	$\frac{1}{16}$
		(T)	$\frac{1}{2}$
		(U)	$\sqrt{2} - 1$

If $λ_{1} = 2 λ_{0}, λ_{2} = λ_{0}$ then the correct match is

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Gamma Question Bank for Engineering Physics>Chapter 29 - Nuclei>Assignment>Q 5

Binding energy per nucleon versus mass number curve for nuclei is shown in figure. $A, B, C$ and $D$ are four nuclei indicated on the curve. The $Q$ value of following nuclear reaction $A + B \to C$ is $N \times 10^{7} eV .$ Find the value of $N .$

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Gamma Question Bank for Engineering Physics>Chapter 29 - Nuclei>Assignment>Q 6

A star having

10^{50}

deuterons, produces energy via process

3_{1} H^{2} ⟶ {{}_{2}H e}^{4} + n + p

Average power radiated by the star is

10^{10} W .

If duetron supply of the star is exhausted in a time

1.3 \times 10^{N} s,

then value of

N

is
Given

M ({{}_{1}H}^{2}) = 2.014 amu, M (n) = 1.008 amu

M (p) = 1.007 amu, M (H e^{4}) = 4.001 amu

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Gamma Question Bank for Engineering Physics>Chapter 29 - Nuclei>Assignment>Q 7

At time

t = 0

, the production of a radionuclide starts at a constant rate

R

. The half-life of the radionuclide is

T

. The value of time

t

at which the activity of this radionuclide becomes

\frac{R}{10}

is given as

t = \frac{T \ln (\frac{100}{p})}{\ln 2} .

The value of

p

The probability of disintegration per second of a nucleus in a given radio-active sample

Important Questions on Nuclei

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