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 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

E M B I B E

Gamma Question Bank for Engineering Physics>Chapter 29 - Nuclei>Assignment>Q 20

EASY

JEE Main/Advance

IMPORTANT

Earn 100

A radioactive nucleus $X$ -decays in to a stable nucleus $Y .$ The graph of formation rate of $Y$ will be

50% studentsanswered this correctly

Important Questions on Nuclei

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 29 - Nuclei>EXERCISE 13.1>Q 3

The mass of proton is

1.0073 u

and that of neutron is

1.0087 u (u = atomic mass unit) .

The binding energy of

{}_{2}^{4}{He}

is ?

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 29 - Nuclei>EXERCISE 13.1>Q 4

Nuclear fusion is possible :

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 29 - Nuclei>EXERCISE 13.1>Q 5

In spontaneous nuclear reaction

a + b \to c,

masses of

a, b, c

are

m_{a}, m_{b}, m_{c}

respectively, then which of the following is true?

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 29 - Nuclei>EXERCISE 13.1>Q 6

Which of the following property does not carry by nuclear forces?

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 29 - Nuclei>Assignment>Q 1

Choose the correct alternative

MEDIUM

JEE Main/Advance

IMPORTANT

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

The decay constant of a radioactive substance is

λ

. At

t = 0

, the number of active nuclei are

N_{0}

. Select the correct alternative

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 29 - Nuclei>Assignment>Q 9

Disintegration consicrit of a radioactive material is

λ

MEDIUM

JEE Main/Advance

IMPORTANT

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)	$\sqrt{2} - 1$