MHT CET 2023 10th May Evening Shift | Rotational Motion Question 19 | Physics

What is the moment of inertia of the electron moving in second Bohr orbit of hydrogen atom? [ $$\mathrm{h}=$$ Planck's constant, $$\mathrm{m}=$$ mass of electron, $$\varepsilon_0=$$ permittivity of free space, $$\mathrm{e}=$$ charge on electron]

$$\frac{4 \varepsilon_0^2 h^4}{\pi^2 m e^4}$$

$$\frac{8 m \varepsilon_0^2 h^4}{\pi^2 e^4}$$

$$\frac{16 \varepsilon_0^2 h^4}{\pi^2 m e^4}$$

$$\frac{\varepsilon_0^2 h^4}{16 \pi^2 \mathrm{me}^4}$$

MHT CET 2023 10th May Evening Shift

MCQ (Single Correct Answer)

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Two spheres each of mass '$$M$$' and radius $$\frac{R}{2}$$ are connected at the ends of massless rod of length '$$2 R$$'. What will be the moment of inertia of the system about an axis passing through centre of one of the spheres and perpendicular to the rod?

$$\frac{2}{3} \mathrm{MR}^2$$

$$\frac{5}{2} \mathrm{MR}^2$$

$$\frac{5}{21} \mathrm{MR}^2$$

$$\frac{21}{5} \mathrm{MR}^2$$

MHT CET 2023 10th May Evening Shift

MCQ (Single Correct Answer)

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The moment of inertia of a uniform square plate about an axis perpendicular to its plane and passing through the centre is $$\frac{\mathrm{Ma}^2}{6}$$, where '$$M$$' is the mass and '$$a$$' is the side of square plate. Moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is

$$\frac{\mathrm{Ma}^2}{6}$$

$$\frac{2 \mathrm{Ma}^2}{3}$$

$$\frac{\mathrm{Ma}^2}{3}$$

$$\frac{2 \mathrm{Ma}^2}{5}$$

MHT CET 2023 10th May Morning Shift

MCQ (Single Correct Answer)

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If 'I' is moment of inertia of a thin circular disc about an axis passing through the tangent of the disc and in the plane of disc. The moment of inertia of same circular disc about an axis perpendicular to plane and passing through its centre is

$$\frac{4I}{5}$$

$$\frac{2I}{5}$$

$$\frac{4I}{3}$$

$$\frac{2I}{3}$$

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