Nuclei

The elongation of a wire on the surface of the earth is 10^-4m. The same wire of same dimensions is elongated by 6 * 10^-5 m on another planet. The acceleration due to gravity on the planet will be__________ms^-2. (Take acceleration due to gravity on the surface of earth = 10 ms^-2)

A radioactive nucleus can decay by two different processes. Half-life for the first process is 3.0 hours while it is 4.5 hours for the second process. The effective half-life of the nucleus will be:

The magnetic flux through a coil perpendicular to its plane is varying according to the relation $\varphi =\left(5t^3+4t^2+2t-5\right)$  Weber. If the resistance of the coil is 5 ohm, then the induced current through the coil at t = 2s will be

The activity of a radioactive material is 2.56 * 10^-3 Ci. If the half life of the  material is 5 days, after how many days the activity will become 2 * 10^-5 Ci?

In the hydrogen spectrum, $\lambda$ be the wavelength of first transition line of Lyman series. The wavelength difference will be $"a\lambda "$ between the wavelength of 3rd transition line of Paschen series and that 2nd transition line B Balmer series where a = __________.

Mass numbers of two nuclei are in the ratio of 4 : 3. Their nuclear densities will be in the ratio of

A nucleus of mass M at rest splits into two parts having masses $\frac{M\text{'}}{3}$ and $\frac{2M\text{'}}{2}\left(M\text{'}<M\right),$ The ratio of de Broglie wavelength of two parts will be:

The disintegration rate of a certain radioactive sample at any instant is 4250 disintegrations per minutes later, the rate becomes 2250 disintegrations per minute. The approximate decay constant is:

(Take log₁₀ 1.88 = 0.274)

A radioactive simple is undergoing decay. At any time t₁, its activity is A and another time t₂, the activity is $\frac{A}{5}.$ What is the average life time for the sample?

A radioactive sample decays $\frac{7}{8}$ times its original quantity in 15 minutes. The half-life of the sample is