Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Home

Class 12

Physics

Nuclei

Radioactivity

If is decay constant and N the number of radioactive nuclei o

Question

Medium

Solving time: 2 mins

If $λ$ is decay constant and N the number of radioactive nuclei of an element, the decay rate (R) of that element is :

λ N^{2}

λ N

λ N^{3}

λ^{2} N

Views: 5,768 students

Found 8 tutors discussing this question

Mila Discussed

λ

is decay constant and N the number of radioactive nuclei of an element, the decay rate (R) of that element is :

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

The number of nuclei present at a time t is,

N (t) = N_{o} e^{- λ t}

The decay rate,

R = - \frac{d N}{d t} = λ N_{o} e^{- λ t}

N (t) = N_{a} e^{- λ t}, R = λ N (t) or λ N

Was this solution helpful?

Report

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Practice questions on similar concepts asked by Filo students

Question 1

The ratio of contributions made by the electric field and magnetic field components wave is

$c : 1$
$c^{2} : 1$
$1 : 1$ ::

Topic:

Magnetism, EMI and AC

View solution

Question 2

Electrostatic Potential and Capacitance irection of the electric field

E

. Let

P

be a point on the change in

V

in the urface

B, δ l

is the perpendicular distance of the Is moved along this perpencitien a unit positive charge o surface

A

against the electrie from the surface B In this process is IE

∣ δ t

. This work equals the potential difference Thus, Since

δ V

is negative,

δ V = - 1 δ V 1

, we can rewrite

∣ E ∣ = - \frac{δ V}{δ l} = + \frac{∣ δ V ∣}{δ l}

Flouke

2.12

Vrum the potential to the field

(2.21)

We thus arrive at two important conclusions concerning the relation between electric field and potential: (i) Electric field is in the direction in which the potential decreases steepest. (ii) Its magnitude is given by the change in the magnitude of potential per unit displacement normal to the equipotential surface at the point. 2.7 POTENTLAL ENERGY OF A SYSTEM OF CHARGES Consider first the simple case of two charges

q_{1}

and

q_{2}

with position vector

r_{1}

and

r_{2}

relative to some origin. Let us calculate the work done (externally) in building up this configuration. This means that we consider the the charges

q_{1}

and

q_{2}

initially at infinity and determine the work done by (b) an external agency to bring the charges to the given locations, Suppose, first the charge

q_{1}

is brought from infinity to the point

r_{1}

. There is no external field against which work needs to be done, so work done in bringing

q_{1}

from infinity to

r_{1}

is zero. This charge produces a potential in space given by

V_{1} = \frac{1}{4 π ε _{0}} \frac{q _{1}}{r _{1 p}}

where

r_{1 P}

is the distance of a point

P

in space from the location of

q_{1}

. From the definition of potential, work done in bringing charge

q_{2}

from infinity to the point

r_{2}

q_{2}

times the potential at

r_{2}

due to

q_{1}

: work done on

q_{2} = \frac{1}{4 π ε _{0}} \frac{q _{1} q _{2}}{r _{12}}

Topic:

Electrostats

View solution

Question 3

(2 5^{th}

Jan

1^{st}

Shift 2023

)

Match List I with List II.

\begin{tabular{c} List I
(Current configuration)

} & \multicolumn{2}{|c|}{} \\ \hline (A) & & (I) &

B_{0} = \frac{μ _{0} I}{4 π r} [π + 2

\\ \hline (B) & & (II) &

B_{0} = \frac{μ _{0}}{4} \frac{I}{r}

\\ \hline \end{tabular}

Topic:

Magnetism, EMI and AC

View solution

Question 4

A long solenoid has 200 tums per cm and carries a current i. The magnetic field at its centre is

628 \times 1 0^{- 2}

weber

^{2} m^{2}

. Another long solenoid has 100 turns per cm and it camies a current i value of the magnetic field at its centre is

$1.05 \times 1 0^{- 2}$ weberim $^{2}$
$1.05 \times 1 0^{- 5}$ weber $/ m^{2}$
$1.05 \times 1 0^{- 3}$ weberim $^{2}$
$1.05 \times 1 0^{- 4}$ weber $m^{2}$

Topic:

Magnetism, EMI and AC

View solution

Stuck on the question or explanation?

Connect with our Physics tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	If $λ$ is decay constant and N the number of radioactive nuclei of an element, the decay rate (R) of that element is :
Topic	Nuclei
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	45

If λ is decay constant and N the number of radioactive nuclei of an element, the decay rate (R) of that element is :

Text solutionVerified

Practice more questions from Nuclei

Practice questions on similar concepts asked by Filo students

Related books for questions on Nuclei

If $λ$ is decay constant and N the number of radioactive nuclei of an element, the decay rate (R) of that element is :