1
NEET 2016 Phase 2
+4
-1
In the given figure, a = 15 m s$$-$$2 represents the total acceleration of particle moving in the clockwise direction in a circle of radius R = 2.5 m at a given instant of time. The speed of the particle is

A
4.5 m s$$-$$1
B
5.0 m s$$-$$1
C
5.7 m s$$-$$1
D
6.2 m s$$-$$1
2
NEET 2016 Phase 1
+4
-1
If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is
A
45o
B
180o
C
0o
D
90o
3
NEET 2016 Phase 1
+4
-1
A particle moves so that its position vector is given by $$\overrightarrow r = \cos \omega t\,\widehat x + \sin \,\omega t\,\widehat y,$$ where $$\omega$$ is a constant.

Which of the following is true?
A
Velocity is perpendicular to $$\overrightarrow r$$ and acceleration is directed towards the origin.
B
Velocity is perpendicular to $$\overrightarrow r$$ and acceleration is directed away from the origin.
C
Velocity and acceleration both are perpendicular to $$\overrightarrow r$$
D
Velocity and acceleration both are parallel to $$\overrightarrow r$$
4
AIPMT 2015
+4
-1
If vectors $$\overrightarrow A = \cos \omega t\widehat i + \sin \omega t\widehat j$$ and $$\overrightarrow B = \cos {{\omega t} \over 2}\widehat i + \sin {{\omega t} \over 2}\widehat j$$ are functions of time, then the value of t at which they are orthogonal to each other is
A
$$t = {\pi \over \omega }$$
B
t $$=$$ 0
C
$$t = {\pi \over {4\omega }}$$
D
$$t = {\pi \over {2\omega }}$$
EXAM MAP
Medical
NEET