The half-life of a radioactive nucleus is $5$ years, The fraction of the original sample that would decay in $15$ years is
The half-life of a radioactive nucleus is $5$ years, The fraction of the original sample that would decay in $15$ years is
- [JEE MAIN 2023]
- A
$\frac{1}{8}$
- B
$\frac{1}{4}$
- C
$\frac{7}{8}$
- D
$\frac{3}{4}$
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- [AIPMT 1989]
If half life of a radioactive element is $3\, hours$, after $9\, hours$ its activity becomes
If half life of a radioactive element is $3\, hours$, after $9\, hours$ its activity becomes
The half life of a radioactive substance is $20$ minutes. In $........\,minutes$ time,the activity of substance drops to $\left(\frac{1}{16}\right)^{ th }$ of its initial value.
The half life of a radioactive substance is $20$ minutes. In $........\,minutes$ time,the activity of substance drops to $\left(\frac{1}{16}\right)^{ th }$ of its initial value.
- [NEET 2023]
If ${N_0}$ is the original mass of the substance of half life period ${T_{1/2}} = 5$ years, then the amount of substance left after $15$ years is
If ${N_0}$ is the original mass of the substance of half life period ${T_{1/2}} = 5$ years, then the amount of substance left after $15$ years is
- [AIEEE 2002]
According to classical physics, $10^{-15}\ m$ is distance of closest approach $(d_c)$ for fusion to occur between two protons. A more accurate and quantum approach says that ${d_c} = \frac{{{\lambda _p}}}{{\sqrt 2 }}$ where $'\lambda _p'$ is de-broglie's wavelength of proton when they were far apart. Using quantum approach, find equation of temperature at centre of star. [Given: $M_p$ is mass of proton, $k$ is boltzman constant]
According to classical physics, $10^{-15}\ m$ is distance of closest approach $(d_c)$ for fusion to occur between two protons. A more accurate and quantum approach says that ${d_c} = \frac{{{\lambda _p}}}{{\sqrt 2 }}$ where $'\lambda _p'$ is de-broglie's wavelength of proton when they were far apart. Using quantum approach, find equation of temperature at centre of star. [Given: $M_p$ is mass of proton, $k$ is boltzman constant]