1
MHT CET 2023 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A particle moves along a circular path with decreasing speed. Hence

A
its resultant acceleration is towards the centre.
B
it moves in a spiral path with decreasing radius.
C
the direction of angular momentum remains constant.
D
its angular momentum remains constant
2
MHT CET 2023 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Radius of gyration of a thin uniform circular disc about the axis passing through its centre and perpendicular to its plane is $$\mathrm{K}_{\mathrm{c}}$$. Radius of gyration of the same disc about a diameter of the disc is $$K_d$$. The ratio $$K_c: K_d$$ is

A
$$\sqrt{2}: 1$$
B
$$1: \sqrt{2}$$
C
$$2: 1$$
D
$$1: 4$$
3
MHT CET 2023 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A disc has mass $$M$$ and radius $$R$$. How much tangential force should be applied to the rim of the disc, so as to rotate with angular velocity '$$\omega$$' in time $$\mathrm{t}$$ ?

A
$$\frac{M R \omega}{4 t}$$
B
$$\frac{\mathrm{MR} \omega}{2 \mathrm{t}}$$
C
$$\frac{\mathrm{MR} \omega}{\mathrm{t}}$$
D
$$\mathrm{MR} \omega \mathrm{t}$$
4
MHT CET 2023 10th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

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]

A
$$\frac{4 \varepsilon_0^2 h^4}{\pi^2 m e^4}$$
B
$$\frac{8 m \varepsilon_0^2 h^4}{\pi^2 e^4}$$
C
$$\frac{16 \varepsilon_0^2 h^4}{\pi^2 m e^4}$$
D
$$\frac{\varepsilon_0^2 h^4}{16 \pi^2 \mathrm{me}^4}$$
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