Question:
A sample initially contains only U-238 isotope of uranium. With time, some of the U-238 radioactively decays into Pb-206 while the rest of it remains undisintegrated.
When the age of the sample is P x108 years, the ratio of mass of Pb-206 to that of U-238 in the sample is found to be 7. The value of P is _____.
[Given: Half-life of U-238 is 4.5 x109 years; loge2 = 0.693]
A sample initially contains only U-238 isotope of uranium. With time, some of the U-238 radioactively decays into Pb-206 while the rest of it remains undisintegrated.
When the age of the sample is P x108 years, the ratio of mass of Pb-206 to that of U-238 in the sample is found to be 7. The value of P is _____.
[Given: Half-life of U-238 is 4.5 x109 years; loge2 = 0.693]
When the age of the sample is P x108 years, the ratio of mass of Pb-206 to that of U-238 in the sample is found to be 7. The value of P is _____.
[Given: Half-life of U-238 is 4.5 x109 years; loge2 = 0.693]
Updated On: Jun 22, 2024
Hide Solution
Verified By Collegedunia
Correct Answer: 143
Solution and Explanation
The correct answer is: 143
Was this answer helpful?
1
0
Top Questions on Chemical bonding and molecular structure
- The bond length of CO is 113 pm and its dipole moment (𝜇⃗) is 0.1 D. The charge (in units of electronic charge) on carbon in the CO molecule including its sign is (rounded off to three decimal places)
[Given: charge of electron = 1.602×10−19 C; 1 D=3.336 × 10−30 Cm]- IIT JAM CY - 2024
- Inorganic Chemistry
- Chemical bonding and molecular structure
- Match List-I with List-II :Identify the correct answer from the options given below :
List - IMolecule List - IIBond enthalpy (kJ mol-1) (A) HCl (I) 435.8 (B) N2 (II) 498 (C) H2 (III) 946.0 (D) O2 (IV) 431.0 - NEET (UG) - 2024
- Chemistry
- Chemical bonding and molecular structure
- Sum of bond order of CO and NO+ is _____.
- JEE Main - 2024
- Chemistry
- Chemical bonding and molecular structure
- Given below are two statements :
Statement (I) : Both metal and non-metal exist in p and d-block elements.
Statement (II) : Non-metals have higher ionisation enthalpy and higher electronegativity than the metals.
In the light of the above statements, choose the most appropriate answer from the option given below:- JEE Main - 2024
- Chemistry
- Chemical bonding and molecular structure
- Match List-I with the List-IIChoose the correct answer from the options given below:
List-I
(Compound /
Species)List-II
(Shape / Geometry)(A) \(SF_4\) (I) Tetrahedral (B) \(BrF_3\) (II) Pyramidal (C) \(BrO_{3}^{-}\) (III) See saw (D) \(NH^{+}_{4}\) (IV) Bent T-shape - JEE Main - 2024
- Chemistry
- Chemical bonding and molecular structure
View More Questions
Questions Asked in JEE Advanced exam
- Consider the ellipse \(\frac{x^2}{9}+\frac{y^2}{4}=1\). Let S (p, q) be a point in the first quadrant such that \(\frac{p^2}{9}+\frac{q^2}{4}>1\). Two tangents are drawn from S to the ellipse, of which one meets the ellipse at one end point of the minor axis and the other meets the ellipse at a point T in the fourth quadrant. Let R be the vertex of the ellipse with positive x-coordinate and Obe the center of the ellipse. If the area of the triangle △ORT is \(\frac{3}{2}\) , then which of the following options is correct ?
- JEE Advanced - 2024
- Conic sections
- Among V(CO)6, Cr(CO)5, Cu(CO)3, Mn(CO)5, Fe(CO)5, [Co(CO)3]3-, [Cr(CO)4]4-, and Ir(CO)3, the total number of species isoelectronic with Ni(CO)4 is _________.
[Given, atomic number: V = 23, Cr=24, Mn 25, Fe 26, Co 27, Ni 28, Cu = 29, Ir = 77]- JEE Advanced - 2024
- Isomerism in Coordination Compounds
- Let \(\overrightarrow{OP}=\frac{\alpha-1}{\alpha}\hat{i}+\hat{j}+\hat{k},\overrightarrow{OQ}=\hat{i}+\frac{\beta-1}{\beta}\hat{j}+\hat{k}\) and \(\overrightarrow{OR}=\hat{i}+\hat{j}+\frac{1}{2}\hat{k}\) be three vector where α, β ∈ R - {0} and 0 denotes the origin. If \((\overrightarrow{OP}\times\overrightarrow{OQ}).\overrightarrow{OR}=0\) and the point (α, β, 2) lies on the plane 3x + 3y - z + l = 0, then the value of l is _______.
- JEE Advanced - 2024
- Vector Algebra
- A closed vessel contains 10 g of an ideal gas X at 300 K, which exerts 2 atm pressure. At the same temperature, 80 g of another ideal gas Y is added to it and the pressure becomes 6 atm. The ratio of root mean square velocities of X and Y at 300 K is
- JEE Advanced - 2024
- States of matter
- Let the function \(f:[1,\infin)→\R\) be defined by
\(f(t) = \begin{cases} (-1)^{n+1}2, & \text{if } t=2n-1,n\in\N, \\ \frac{(2n+1-t)}{2}f(2n-1)+\frac{(t-(2n-1))}{2}f(2n+1) & \text{if } 2n-1<t<2n+1,n\in\N. \end{cases}\)
Define \(g(x)=\int\limits_{1}^{x}f(t)dt,x\in(1,\infin).\) Let α denote the number of solutions of the equation g(x) = 0 in the interval (1, 8] and \(β=\lim\limits_{x→1+}\frac{g(x)}{x-1}\). Then the value of α + β is equal to _____.- JEE Advanced - 2024
- Integral Calculus
View More Questions