WBJEE · Physics · Nuclear Physics
A parent nucleus \(X\) undergoes \(\alpha\) -decay with a half-life of 75000 yrs. The daughter nucleus \(Y\) undergoes \(\beta\) -decay with a half-life of 9 months. In a particular sample, it is found that the rate of emission of \(\beta\) -particles is nearly constant (over several months) at \(10^{7} / \mathrm{h} .\) What will be the number of \(\alpha\) -particles emitted in an hour?
- A \(10^{2}\)
- B \(10^{7}\)
- C \(10^{12}\)
- D \(10^{14}\)
Answer & Solution
Correct Answer
(B) \(10^{7}\)
Step-by-step Solution
Detailed explanation
According to the question, \(X \stackrel{\text { a-particle }}{\longrightarrow} Y \longrightarrow Z(\text { say) }\) According to Rutherford Soddy law of radioactive decay, the rate of decay of radioactive along at any instant is proportional to the number of atoms present at…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- Let \(v_{n}\) and \(E_{n}\) be the respective speed and energy of an electron in the \(n\) th orbit of radius \(r_{n}\), in a hydrogen atom, as predicted by Bohr's model. Then.WBJEE 2017 Medium
- A particle with charge \(e\) and mass \(m\), moving along the \(X\) -axis with a uniform speed \(u\), enters a region where a uniform electric field \(E\) is acting along the \(Y\) -axis. The particle starts to move in a parabola. Its focal length (neglecting any effect of gravity) isWBJEE 2017 Medium
- A golf ball of mass \(50 \mathrm{gm}\) placed on a tee, is struck by a golf-club. The speed of the golf ball as it leaves the tee is \(100 \mathrm{~m} / \mathrm{s}\), the time of contact on the ball is \(0.02 \mathrm{~s}\). If the force decreases to zero linearly with time, then the force at the beginning of the contact isWBJEE 2022 Medium
- Eleven equal point charges, all of them having a charge \(+Q\), are placed at all the hour positions of a circular clock of radius \(r\). except at the \(10 \mathrm{h}\) position. What is the clectric field strength at the centre of the clock?WBJEE 2019 Medium
- A straight wire of length \(2 \mathrm{m}\) carries a current of \(10 \mathrm{A}\). If this wire is placed in a uniform magnetic field of 0.15 T making an angle of \(45^{\circ}\) with the magnetic field, the applied force on the wire will beWBJEE 2012 Easy
- When a convex lens is placed above an empty tank, the image of a mark at the bottom of the tank, which is 45 cm
from the lens is formed 36 cm above the lens. When a liquid is poured in the tank to a depth of 40 cm, the distance
of the image of the mark above the lens is 48 cm. The refractive index of the liquid isWBJEE 2024 Hard
More PYQs from WBJEE
- Let \(n \geq 2\) be an integer. \(A=\left[\begin{array}{ccc}\cos (2 \pi / n) & \sin (2 \pi / n) & 0 \\ -\sin (2 \pi / n) & \cos (2 \pi / n) & 0 \\ 0 & 0 & 1\end{array}\right]\) and \(I\) is the identity matrix of order 3 . Then,WBJEE 2014 Hard
- The average speed of \(\mathrm{H}_2\) at \(T_1 \mathrm{~K}\) is equal to that of \(\mathrm{O}_2\) at \(T_2 \mathrm{~K}\). The ratio \(T_1: T_2\) isWBJEE 2022 Easy
- The sum of the series \(\frac{1}{1.2}-\frac{1}{2.3}+\frac{1}{3.4}-\ldots . \infty\) isWBJEE 2011 Hard
- A compound is formed by substitution of two chlorine for two hydrogens in propane. The number of possible isomeric compounds isWBJEE 2009 Hard
- An artificial satellite moves in a circular orbit around the earth. Total energy of the satellite is given by \(E\). The potential energy of the satellite isWBJEE 2014 Easy
- The approximate value of \(\sqrt[5]{33}\) correct to 4 decimal places isWBJEE 2011 Medium