ρ= VM=34πR3mn×A=34πAR03mn×A
So ρ is almost is constant
$\begin{aligned}
& \mathrm{R}=\mathrm{R}_0 \mathrm{A}^{1 / 3} \
& \mathrm{R} \propto \mathrm{A}^{1 / 3}
\end{aligned}$
JEE Main 2025 — Physics Modern Physics
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : The density of the copper (2964Cu) nucleus is greater than that of the carbon (612C) nucleus.
Reason (R): The nucleus of mass number A has a radius proportional to A1/3.
In the light of the above statements, choose the most appropriate answer from the options given below :
Held on 7 Apr 2025 · Verified 6 Jul 2026.
(A) is correct but (R) is not correct
(A) is not correct but (R) is correct
Both (A) and (R) are correct and (R) is the correct explanation of (A)
Both (A) and (R) are correct but (R) is not the correct explanation of (A)
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An electron is travelling with a velocity $v$ in free space and when it enters a medium, its velocity is reduced by $20\%$. The de Broglie wavelength of electron in the medium is $\alpha\lambda_0$, where $\lambda_0$ is its de Broglie wavelength in free space. The value of $\alpha$ is _______.
The maximum rated power of the LED is $2$ mW and it is used in the circuit with input voltage of $5$ V as shown in the figure below. The current through resistance $R_S$ is $0.5$ mA. The minimum value of the resistance of $R_S$, to ensure that the LED is not damaged is _______ k$\Omega$. 
Two $4$ bits binary numbers, $A = 1101$ and $B = 1010$ are given in the inputs of a logic circuit shown in figure below. The output $(Y)$ will be: 
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A light wave described by $E=60\left[\sin \left(3 \times 10^{15}\right) t+\sin \left(12 \times 10^{15}\right) t\right]$ (in SI units) falls on a metal surface of work function 2.8 eV. The maximum kinetic energy of ejected photoelectron is (approximately) $\_\_\_\_$ eV. $\left(h=6.6 \times 10^{-34} \mathrm{~J}\right.$. s. and $\left.e=1.6 \times 10^{-19} \mathrm{C}\right)$
Work through every JEE Main Modern Physics PYQ, year by year.