1
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+1
-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

A
$$\left(\frac{1}{2}\right)^{\text {th }}$$
B
$$\left(\frac{1}{4}\right)^{\text {th }}$$
C
$$\left(\frac{1}{8}\right)^{\text {th }}$$
D
$$\left(\frac{1}{6}\right)^{\text {th }}$$
2
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

'$$\lambda_1$$' is the wavelength of series limit of Lyman series, '$$\lambda_2$$' is the wavelength of the first line line of Lyman series and '$$\lambda_3$$' is the series limit of the Balmer series. Then the relation between $$\lambda_1, \lambda_2$$ and $$\lambda_3$$ is

A
$$\frac{1}{\lambda_1}-\frac{1}{\lambda_2}=\frac{1}{\lambda_3}$$
B
$$\frac{1}{\lambda_1}=\frac{1}{\lambda_2}-\frac{1}{\lambda_3}$$
C
$$\lambda_2=\lambda_1+\lambda_3$$
D
$$\lambda_1=\lambda_2+\lambda_3$$
3
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

A sample of radioactive element contains $$8 \times 10^{16}$$ active nuclei. The halt-life of the element is 15 days. The number of nuclei decayed after 60 days is

A
$$7.5 \times 10^{16}$$
B
$$2.0 \times 10^{16}$$
C
$$0.5 \times 10^{16}$$
D
$$4.0 \times 10^{16}$$
4
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

The P.E. 'U' of a moving particle of mass 'm' varies with 'x'-axis as shown in figure. The deBroglie wavelength or the particle in the regions $$0 \leq x \leq 1$$ and $$x > 1$$ are $$\lambda_1$$ and $$\lambda_2$$ respectively. II the total energy of the particle is '$$\mathrm{nE}$$', then the ratio $$\lambda_1 / \lambda_2$$ is

MHT CET 2021 20th September Evening Shift Physics - Atoms and Nuclei Question 88 English

A
$$\sqrt{\frac{n^2}{n-1}}$$
B
$$\sqrt{\frac{n-1}{n}}$$
C
$$\sqrt{\frac{\mathrm{n}}{\mathrm{n}-1}}$$
D
$$\sqrt{\frac{\mathrm{n}(\mathrm{n}-1)}{\mathrm{n}}}$$
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