1
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
2
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 $$\overrightarrow r $$
3
NEET 2016 Phase 1
MCQ (Single Correct Answer)
+4
-1
Change Language
What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that it can complete the loop?
A
$$\sqrt {3gR} $$
B
$$\sqrt {5gR} $$
C
$$\sqrt {gR} $$
D
$$\sqrt {2gR} $$
4
NEET 2016 Phase 1
MCQ (Single Correct Answer)
+4
-1
Change Language
A car is negotiating a curved road of radius R. The road is banked at an angle $$\theta $$. The coefficient of friction between the tyres of the car and the road is $$\mu $$s. The maximum safe velocity on this road is
A
$$\sqrt {{g \over R}{{{\mu _s} + \tan \theta } \over {1 - {\mu _s}\tan \theta }}} $$
B
$$\sqrt {{g \over {{R^2}}}{{{\mu _s} + \tan \theta } \over {1 - {\mu _s}\tan \theta }}} $$
C
$$\sqrt {g{R^2}{{{\mu _s} + \tan \theta } \over {1 - {\mu _s}\tan \theta }}} $$
D
$$\sqrt {gR{{{\mu _s} + \tan \theta } \over {1 - {\mu _s}\tan \theta }}} $$