1
JEE Main 2020 (Online) 2nd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
A bead of mass m stays at point P(a, b) on a wire bent in the shape of a parabola y = 4Cx2 and rotating with angular speed $$\omega$$ (see figure). The value of $$\omega$$ is (neglect friction) :
A
$$2\sqrt {2gC}$$
B
$$2\sqrt {gC}$$
C
$$\sqrt {{{2gC} \over {ab}}}$$
D
$$\sqrt {{{2g} \over C}}$$
2
JEE Main 2020 (Online) 8th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
A particle of mass m is fixed to one end of a light spring having force constant k and unstretched length $$\ell$$. The other end is fixed. The system is given an angular speed $$\omega$$ about the fixed end of the spring such that it rotates in a circle in gravity free space. Then the stretch in the spring is :
A
$${{m\ell {\omega ^2}} \over {k - m{\omega ^2}}}$$
B
$${{m\ell {\omega ^2}} \over {k - m{\omega}}}$$
C
$${{m\ell {\omega ^2}} \over {k + m{\omega ^2}}}$$
D
$${{m\ell {\omega ^2}} \over {k + m{\omega}}}$$
3
JEE Main 2019 (Online) 12th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
A smooth wire of length 2$$\pi$$r is bent into a circle and kept in a vertical plane. A bead can slide smoothly on the wire. When the circle is rotating with angular speed $$\omega$$ about the vertical diameter AB, as shown in figure, the bead is at rest with respect to the circular ring at position P as shown. Then the value of $$\omega$$2 is equal to -
A
$${{\sqrt 3 g} \over {2r}}$$
B
$${{2g} \over {\left( {r\sqrt 3 } \right)}}$$
C
$${{\left( {g\sqrt 3 } \right)} \over r}$$
D
$${{2g} \over r}$$
4
JEE Main 2019 (Online) 11th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
A particle is moving along a circular path with a constant speed of 10 ms–1. What is the magnitude of the change in velocity of the particle, when it moves through an angle of 60o around the centre of the circle?
A
zero
B
10 m/s
C
$$10\sqrt 2 m/s$$
D
$$10\sqrt 3 m/s$$
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