1
NEET 2016 Phase 1
MCQ (Single Correct Answer)
+4
-1
Change Language
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 $$\overrightarrow r $$
2
NEET 2016 Phase 1
MCQ (Single Correct Answer)
+4
-1
Change Language
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
MCQ (Single Correct Answer)
+4
-1
Change Language
A particle of mass 10 g moves along a circle of radius 6.4 cm with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic enegy of the particle becomes equal to 8 $$ \times $$ 10$$-$$4 J by the end of the second revoluation after the beginning of the motion ?
A
0.18 m/s2
B
0.2 m/s2
C
0.1 m/s2
D
0.15 m/s2
4
NEET 2016 Phase 1
MCQ (Single Correct Answer)
+4
-1
Change Language
From a disc of radius R and mass M, a circular hole of diameter R, whose rim passes through the centre is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis, passing through the centre?
A
11 MR2/32
B
9 MR2/32
C
15 MR2/32
D
13 MR2/32