1
JEE Main 2023 (Online) 29th January Evening Shift
MCQ (Single Correct Answer)
+4
-1

An object moves at a constant speed along a circular path in a horizontal plane with center at the origin. When the object is at $$x=+2~\mathrm{m}$$, its velocity is $$\mathrm{ - 4\widehat j}$$ m/s. The object's velocity (v) and acceleration (a) at $$x=-2~\mathrm{m}$$ will be

A
$$v=4\mathrm{\widehat i~m/s},a=8\mathrm{\widehat j~m/s^2}$$
B
$$v=4\mathrm{\widehat j~m/s},a=8\mathrm{\widehat i~m/s^2}$$
C
$$v=-4\mathrm{\widehat i~m/s},a=-8\mathrm{\widehat j~m/s^2}$$
D
$$v=-4\mathrm{\widehat j~m/s},a=8\mathrm{\widehat i~m/s^2}$$
2
JEE Main 2023 (Online) 29th January Morning Shift
MCQ (Single Correct Answer)
+4
-1

A car is moving on a horizontal curved road with radius 50 m. The approximate maximum speed of car will be, if friction between tyres and road is 0.34. [take g = 10 ms$$^{-2}$$]

A
3.4 ms$$^{-1}$$
B
13 ms$$^{-1}$$
C
22.4 ms$$^{-1}$$
D
17 ms$$^{-1}$$
3
JEE Main 2023 (Online) 25th January Morning Shift
MCQ (Single Correct Answer)
+4
-1

A car is moving with a constant speed of 20 m/s in a circular horizontal track of radius 40 m. A bob is suspended from the roof of the car by a massless string. The angle made by the string with the vertical will be : (Take g = 10 m/s$$^2$$)

A
$$\frac{\pi}{2}$$
B
$$\frac{\pi}{6}$$
C
$$\frac{\pi}{4}$$
D
$$\frac{\pi}{3}$$
4
JEE Main 2023 (Online) 24th January Evening Shift
MCQ (Single Correct Answer)
+4
-1

A body of mass 200g is tied to a spring of spring constant 12.5 N/m, while the other end of spring is fixed at point O. If the body moves about O in a circular path on a smooth horizontal surface with constant angular speed 5 rad/s. Then the ratio of extension in the spring to its natural length will be :

A
1 : 2
B
2 : 3
C
2 : 5
D
1 : 1
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