Home
Class 12
PHYSICS
A radioactive sample consists of two dis...

A radioactive sample consists of two distinct species having equal number of atoms initially. The mean life of one species is `tau` and that of the other is `5 tau`. The decay products in both cases are stable. A plot is made of the total number of radioactive nuclei as a function of time. Which of the following figure best represents the form of this plot?
(a), (b), (c), (d)

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
D
The total number of atoms can neither remain constant (as in option a) nor can ever increase (as in option b and c). They will continuously decrease with time. Therefore, (d) is the appropriate option.
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise MCQ s|8 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Comprehension #1|3 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Exercise - 04[A]|25 Videos

  • RACE

    ALLEN|Exercise Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)|24 Videos

  • TEST PAPER

    ALLEN|Exercise PHYSICS|4 Videos

Similar Questions

Explore conceptually related problems

A radioactive substance consists of two distinct having equal number of atoms initially. The mean products in both cases are stable. A plot is made of total number of radioactive nuclei as a function of time. Which of the following figures best represents the form of this plot?

A radioactive sample contains two different types of radioactive nuclei. A-with half-time 5 days and B-type with half life 30 days. Initially the decay rate of A-type nuclei is 64 times that of B type of nuclei . Their decay rates will be equal when time is 9n days. Find the value of n.

A stable nuclei C is formed from two radioactive nuclei A and B with decay constant of lambda_1 and lambda_2 respectively. Initially, the number of nuclei of A is N_0 and that of B is zero. Nuclei B are produced at a constant rate of P. Find the number of the nuclei of C after time t.

A certain radioactive element has a half-life of one year. This means that after 1 year, 1 gram of the element has decayed to 1/2 gram , after 2 years the weight is (1/2)(1/2)=(1/4) grams, after 3 years the weight is (1/4)(1/2)=(1/8) grams, and so on. Which of the following represents the weight of the sample as a function of time x ?

The transition element ( with few exceptions ) show a large number of oxidation states . The various oxidation states are related to the electronic configuration of their atoms. The variable oxidation states of a transition metal is due to the involvement of (n-1)d and outer ns electrons . For the first five elements of 3d transition series , the minimum oxidation state is equal to the number of electrons in 4s shell and the maximum oxidation state is equal to the sum of 4s and 3d electrons. The relative stability of various oxidation states of a given element can be explained on the basis of stability of d^(0),d^(5) and d^(10) configuration . In which of the following pairs , the first species is more stable than second one

State the law of radioactive decay. Plot a graph showing the number (N) of undecayed nuclei as a function of time (t) for a given radioactive sample having half life T_(1//2) Depict in the plot the number of undecayed nuclei at (i) t=3T_(1//2) and (ii) t=5T_(1//2) .

In a sample initially there are equal number of atoms of two radioactive isotopes A and B. 3 days later the number of atoms of A is twice that of B. Half life of B is 1.5 days. What is half life of isotope A? (in days)

The compound unstabel nucleus ._(92)^(236)U often decays in accordance with the following reaction ._(92)^(236)U rarr ._(54)^(140)Xe +._(38)^(94)Sr + other particles During the reaction, the uranium nucleus ''fissions'' (splits) into the two smaller nuceli have higher nuclear binding energy per nucleon (although the lighter nuclei have lower total nuclear binding energies, because they contain fewer nucleons). Inside a nucleus, the nucleons (protonsa and neutrons)attract each other with a ''strong nuclear'' force. All neutrons exert approxiamtely the same strong nuclear force on each other. This force holds the nuclear are very close together at intranuclear distances. Which of the following graphs might represent the relationship between atomic number (i.e., ''atomic weight'') and the total binding energy of the nucleus, for nuclei heavier than ._(38)^(94)Sr ?

It is not possible to measure the atomic radius precisely since the electron cloud surrounding the atom does not have a sharp boundary. One practical approach to estimate the size of an atom of a non-metallic element is to measure the distance between two atoms when they are bound together by a single bond in a covalent molecule and then dividing by two. For metals we define the term "metallic radius" which is taken as half the inter nuclear distance separating the metal cores in the metallic crystal. Then van der waal's radius represents the over all size of the atoms which includes its valence shell in a non bonded situation. It is the half of the distance between two similar atoms in separate molecules in a solid. The atomic radius decreases across a period and increases down the group. Same trends are observed in case of ionic radius. Ionic radius of the species having same number of electrons depends on the number of protons in their nuclei. Sometimes, atomic and ionic radii give unexpected trends due to poor shielding of nuclear charge by d -and f- orbital electrons. Now answer the following three questions: Which of the following relations is correct, if considered for the same element.

ALLEN-SIMPLE HARMONIC MOTION-Exercise-05(B)
  1. The intensity of X-rays from a coolidge tube is plotted against wavele...

    Text Solution

    |

  2. The electron emitted in beta radiation originates from

    Text Solution

    |

  3. A radioactive sample consists of two distinct species having equal num...

    Text Solution

    |

  4. A hydrogen atom and a Li^(2+) ion are both in the second excited stat...

    Text Solution

    |

  5. The potential difference applied to an X - ray tube is 5 KV and th...

    Text Solution

    |

  6. The half-life of .^215At is 100mus. The time taken for the activity of...

    Text Solution

    |

  7. Which of the following processes does not represent a gamma decay ?

    Text Solution

    |

  8. The electirc potential between a proton and an electron is given by ...

    Text Solution

    |

  9. If Bohr's theory is applicable to .(100)Fm^(257), then radius of this ...

    Text Solution

    |

  10. For uranium nucleus how does its mass vary with volume?

    Text Solution

    |

  11. A nucleus with mass number 220 initially at rest emits an alpha partic...

    Text Solution

    |

  12. The figure shows the variation of pholo current with for a photo-sensi...

    Text Solution

    |

  13. A photon and an electron have equal energy E, the ratio (lamda"photon"...

    Text Solution

    |

  14. After 280 days, the activity of a radioactive sample is 6000 dps. The ...

    Text Solution

    |

  15. A photon collides with a stationary hydrogen atom in ground state inel...

    Text Solution

    |

  16. Kalpha wavelength emitted by an atom of atomic number Z=11 is lambda. ...

    Text Solution

    |

  17. If a star converts all helium in its core to oxygen then energy releas...

    Text Solution

    |

  18. Half-life of a radioactive substance A is 4 days. The probability that...

    Text Solution

    |

  19. The largest wavelength in the ultraviolet region of the hydrogen spec...

    Text Solution

    |

  20. Electrons of mass m with de-Broglie wavelength lambda fall on the targ...

    Text Solution

    |