MHT CET 2024 11th May Evening Shift | Circular Motion Question 6 | Physics

A particle of mass ' $m$ ' is performing uniform circular motion along a circular path of radius ' $r$ '. Its angular momentum about the axis passing through the centre and perpendicular to the plane is ' $L$ '. The kinetic energy of the particle is

$\frac{L^2}{2 Mr^2}$

$\frac{2 \mathrm{~L}^2}{\mathrm{mr}^2}$

$\frac{\mathrm{L}^2}{\mathrm{mr}^2}$

$\frac{2 \mathrm{~L}^2}{3 \mathrm{mr}^2}$

MHT CET 2024 10th May Evening Shift

MCQ (Single Correct Answer)

-0

A particle of mass ' $m$ ' performs uniform circular motion of radius ' $r$ ' with linear speed ' $v$ ' under the application of force ' $F$ '. If ' $m$ ', ' $v$ ' and $' \mathrm{r}$ ' are all increased by $20 \%$ the necessary change in force required to maintain the particle in uniform circular motion, is

$12 \%$

$44 \%$

$14 \%$

$144 \%$

MHT CET 2024 10th May Evening Shift

MCQ (Single Correct Answer)

-0

A particle rotates in a horizontal circle of radius 'R' in a conical funnel with constant speed 'V'. The inner surface of the funnel is smooth. The height of the plane of the circle from the vertex of the funnel is (g-acceleration due to gravity)

$\frac{V}{g}$

$\frac{\mathrm{V}}{2 \mathrm{~g}}$

$\frac{\mathrm{V}^2}{2 \mathrm{~g}}$

$\frac{\mathrm{V}^2}{\mathrm{~g}}$

MHT CET 2024 10th May Morning Shift

MCQ (Single Correct Answer)

-0

For a particle in uniform circular motion

linear velocity always radial to the circular path, without change in its magnitude

linear velocity always tangential to the circular path, without change in its magnitude

linear acceleration always tangential to the circular path

linear acceleration always along the axis of the circular path

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