TS EAMCET · Physics · Nuclear Physics
The half-life of a radioactive element is \(10 \mathrm{~h}\). The fraction of initial radioactivity of the element that will remain after \(40 \mathrm{~h}\) is
- A \(\frac{1}{2}\)
- B \(\frac{1}{16}\)
- C \(\frac{1}{8}\)
- D \(\frac{1}{4}\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{16}\)
Step-by-step Solution
Detailed explanation
After 4 half-lifes \(\frac{N_0}{2^4}=\frac{N_0}{16}\)
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
- Magnetic field induction at the centre of a circular coil of radius \(5 \mathrm{~cm}\) and carrying a current \(0.9 \mathrm{~A}\) is (in SI units) \(\left(\varepsilon_0=\right.\) absolute permittivity of air in SI units, velocity of light \(=3 \times 10^8 \mathrm{~ms}^{-1}\) )TS EAMCET 2005 Medium
- A polyatomic gas follows a law \(T^2 V^\alpha=\) constant. Find \(\alpha\) for which the heat exchange of gas in the process becomes zero.TS EAMCET 2021 Easy
- The ratio of relative strengths of the gravitational force and the electromagnetic force between two charged particles isTS EAMCET 2023 Easy
- Assertion (a) : A particle of mass \(m\) dropped into a hole made along the diameter of the earth from one end to the other and possess simple harmonic motion.Reason (R) : Gravitational force between any two particles is inversely proportional to the square of the distance between them.TS EAMCET 2006 Medium
- For a system to follow the law of conservation of linear momentum during a collision, the condition is : (1) total external force acting on the system is zero. (2) total external force acting on the system is finite and time of collision is negligible. (3) total internal force acting on the system is zero.TS EAMCET 2006 Medium
- Two spherical soap bubbles of radii \(r_1\) and \(r_2\) in vacuum combine under isothermal conditions. The resulting bubble has a radius equal to:TS EAMCET 2003 Easy
More PYQs from TS EAMCET
- If a brass sphere of radius 36 cm is submerged in a lake at a depth where the pressure is \(10^7 \mathrm{~Pa}\), then the change in the radius of the sphere is \((\) Bulk modulus of brass \(=60 \mathrm{GPa})\)TS EAMCET 2025 Medium
- If the acceleration due to gravity \(g\) doubles and the radius of earth becomes half that of the present value, then the value of escape velocity is (Assume, \(g=10 \mathrm{~m} / \mathrm{s}^2\) and radius of earth, \(R=6400 \mathrm{~km}\) )TS EAMCET 2019 Easy
- If a gas has \(n\) degrees of freedom, then the ratio of \(\frac{C_p}{C_V}\) isTS EAMCET 2020 Easy
- If a body dropped freely from a height of 20 m reaches the surface of a planet with a velocity of \(31.4 \mathrm{~ms}^{-1}\), then the length of a simple pendulum that ticks seconds on the planet isTS EAMCET 2024 Medium
- Two bar magnets \(A\) and \(B\) are placed one over the other and are allowed to vibrate in a vibration magnetometer. They make 20 oscillations per minute when the similar poles of \(A\) and \(B\) are on the same side, while they make 15 oscillations per minute when their opposite poles lie on the same side. If \(M_A\) and \(M_B\) are the magnetic moments of \(A\) and \(B\) and if \(M_A>M_B\), the ratio of \(M_A\) and \(M_B\) isTS EAMCET 2009 Easy
- The effective capacitance between points \(A\) and \(B\) shown in the circuit is
TS EAMCET 2023 Medium