MHT CET 2021 22th September Evening Shift | Atoms and Nuclei Question 78 | Physics

Two radioactive materials $$X_1$$ and $$X_2$$ have decay constants '$$5 \lambda$$' and '$$\lambda$$' respectively. Initially, they have the same number of nuclei. After time '$$t$$', the ratio of number of nuclei of $$X_1$$ to that of $$\mathrm{X}_2$$ is $$\frac{1}{\mathrm{e}}$$. Then $$\mathrm{t}$$ is equal to

$$\frac{\lambda}{2}$$

$$\frac{\mathrm{e}}{\lambda}$$

$$\lambda$$

$$\frac{1}{4 \lambda}$$

MHT CET 2021 22th September Morning Shift

MCQ (Single Correct Answer)

-0

A nucleus breaks into two nuclear parts, which have their velocity ratio $$2: 1$$. The ratio of their nuclear radii will be

$$\sqrt{2}$$

$$\frac{1}{2}$$

$$\frac{1}{2^{1 / 3}}$$

$$\frac{1}{\sqrt{2}}$$

MHT CET 2021 21th September Evening Shift

MCQ (Single Correct Answer)

-0

Ratio centripetal acceleration for an electron revolving in 3^rd and 5^th Bohr orbit of hydrogen atom is

425 : 18

625 : 81

125 : 27

221 : 36

MHT CET 2021 21th September Morning Shift

MCQ (Single Correct Answer)

-0

When an electron in hydrogen atom jumps from third excited state to the ground state, the de-Broglie wavelength associated with the electron becomes

$$\left(\frac{1}{2}\right)^{\text {th }}$$

$$\left(\frac{1}{4}\right)^{\text {th }}$$

$$\left(\frac{1}{8}\right)^{\text {th }}$$

$$\left(\frac{1}{6}\right)^{\text {th }}$$

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