1
JEE Main 2022 (Online) 29th July Morning Shift
+4
-1

A smooth circular groove has a smooth vertical wall as shown in figure. A block of mass m moves against the wall with a speed v. Which of the following curve represents the correct relation between the normal reaction on the block by the wall (N) and speed of the block (v) ?

A
B
C
D
2
JEE Main 2022 (Online) 25th July Morning Shift
+4
-1

A person moved from A to B on a circular path as shown in figure. If the distance travelled by him is $$60 \mathrm{~m}$$, then the magnitude of displacement would be :

(Given $$\left.\cos 135^{\circ}=-0.7\right)$$

A
42 m
B
47 m
C
19 m
D
40 m
3
JEE Main 2022 (Online) 28th June Morning Shift
+4
-1

A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration (a) is varying with time t as a = k2rt2, where k is a constant. The power delivered to the particle by the force acting on it is given as

A
zero
B
mk2r2t2
C
mk2r2t
D
mk2rt
4
JEE Main 2022 (Online) 27th June Evening Shift
+4
-1

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
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