1
JEE Main 2022 (Online) 27th June Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A stone tide to a spring of length L is whirled in a vertical circle with the other end of the spring at the centre. At a certain instant of time, the stone is at its lowest position and has a speed u. The magnitude of change in its velocity, as it reaches a position where the string is horizontal, is $$\sqrt {x({u^2} - gL)} $$. The value of x is -

A
3
B
2
C
1
D
5
2
JEE Main 2022 (Online) 26th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A ball is released from rest from point P of a smooth semi-spherical vessel as shown in figure. The ratio of the centripetal force and normal reaction on the ball at point Q is A while angular position of point Q is $$\alpha$$ with respect to point P. Which of the following graphs represent the correct relation between A and $$\alpha$$ when ball goes from Q to R?

JEE Main 2022 (Online) 26th June Morning Shift Physics - Circular Motion Question 31 English

A
JEE Main 2022 (Online) 26th June Morning Shift Physics - Circular Motion Question 31 English Option 1
B
JEE Main 2022 (Online) 26th June Morning Shift Physics - Circular Motion Question 31 English Option 2
C
JEE Main 2022 (Online) 26th June Morning Shift Physics - Circular Motion Question 31 English Option 3
D
JEE Main 2022 (Online) 26th June Morning Shift Physics - Circular Motion Question 31 English Option 4
3
JEE Main 2022 (Online) 25th June Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A disc with a flat small bottom beaker placed on it at a distance R from its center is revolving about an axis passing through the center and perpendicular to its plane with an angular velocity $$\omega$$. The coefficient of static friction between the bottom of the beaker and the surface of the disc is $$\mu$$. The beaker will revolve with the disc if :

A
$$R \le {{\mu g} \over {2{\omega ^2}}}$$
B
$$R \le {{\mu g} \over {{\omega ^2}}}$$
C
$$R \ge {{\mu g} \over {2{\omega ^2}}}$$
D
$$R \ge {{\mu g} \over {{\omega ^2}}}$$
4
JEE Main 2022 (Online) 25th June Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

For a particle in uniform circular motion, the acceleration $$\overrightarrow a $$ at any point P(R, $$\theta$$) on the circular path of radius R is (when $$\theta$$ is measured from the positive x-axis and v is uniform speed) :

A
$$ - {{{v^2}} \over R}\sin \theta \widehat i + {{{v^2}} \over R}\cos \theta \widehat j$$
B
$$ - {{{v^2}} \over R}\cos \theta \widehat i + {{{v^2}} \over R}\sin \theta \widehat j$$
C
$$ - {{{v^2}} \over R}\cos \theta \widehat i - {{{v^2}} \over R}\sin \theta \widehat j$$
D
$$ - {{{v^2}} \over R}\widehat i + {{{v^2}} \over R}\widehat j$$
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