1
JEE Main 2023 (Online) 24th January Evening Shift
Numerical
+4
-1
Change Language

The energy released per fission of nucleus of $$^{240}$$X is 200 MeV. The energy released if all the atoms in 120g of pure $$^{240}$$X undergo fission is ____________ $$\times$$ 10$$^{25}$$ MeV.

(Given $$\mathrm{N_A=6\times10^{23}}$$)

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2
JEE Main 2023 (Online) 24th January Evening Shift
Numerical
+4
-1
Change Language

A uniform solid cylinder with radius R and length L has moment of inertia I$$_1$$, about the axis of the cylinder. A concentric solid cylinder of radius $$R'=\frac{R}{2}$$ and length $$L'=\frac{L}{2}$$ is carved out of the original cylinder. If I$$_2$$ is the moment of inertia of the carved out portion of the cylinder then $$\frac{I_1}{I_2}=$$ __________.

(Both I$$_1$$ and I$$_2$$ are about the axis of the cylinder)

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3
JEE Main 2023 (Online) 24th January Evening Shift
Numerical
+4
-1
Change Language

If a copper wire is stretched to increase its length by 20%. The percentage increase in resistance of the wire is __________%.

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4
JEE Main 2023 (Online) 24th January Evening Shift
Numerical
+4
-1
Change Language

A parallel plate capacitor with air between the plate has a capacitance of 15pF. The separation between the plate becomes twice and the space between them is filled with a medium of dielectric constant 3.5. Then the capacitance becomes $$\frac{x}{4}$$ pF. The value of $$x$$ is ____________.

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