1
JEE Main 2023 (Online) 30th January Evening Shift
Numerical
+4
-1
Out of Syllabus
Change Language

A radioactive nucleus decays by two different process. The half life of the first process is 5 minutes and that of the second process is $30 \mathrm{~s}$. The effective half-life of the nucleus is calculated to be $\frac{\alpha}{11} \mathrm{~s}$. The value of $\alpha$ is __________.

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2
JEE Main 2023 (Online) 29th January Morning Shift
Numerical
+4
-1
Out of Syllabus

A radioactive element $$_{92}^{242}$$X emits two $$\alpha$$-particles, one electron and two positrons. The product nucleus is represented by $$_{\mathrm{P}}^{234}$$Y. The value of P is __________.

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3
JEE Main 2023 (Online) 25th January Evening Shift
Numerical
+4
-1
Out of Syllabus
Change Language

A nucleus disintegrates into two smaller parts, which have their velocities in the ratio 3 : 2. The ratio of their nuclear sizes will be $${\left( {{x \over 3}} \right)^{{1 \over 3}}}$$. The value of '$$x$$' is :-

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4
JEE Main 2023 (Online) 25th January Morning Shift
Numerical
+4
-1
Change Language

The wavelength of the radiation emitted is $$\lambda_0$$ when an electron jumps from the second excited state to the first excited state of hydrogen atom. If the electron jumps from the third excited state to the second orbit of the hydrogen atom, the wavelength of the radiation emitted will $$\frac{20}{x}\lambda_0$$. The value of $$x$$ is _____________.

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