1
NEET 2016 Phase 1
MCQ (Single Correct Answer)
+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 $$\overrightarrow r $$
2
NEET 2016 Phase 1
MCQ (Single Correct Answer)
+4
-1
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
$$\sqrt {gR{{{\mu _s} + \tan \theta } \over {1 - {\mu _s}\tan \theta }}} $$
3
NEET 2016 Phase 1
MCQ (Single Correct Answer)
+4
-1
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
A body of mass 1 kg begins to move under the action of a time dependent force $$\overrightarrow F = \left( {2t\widehat i + 3{t^2}\widehat J} \right)N,$$ where $${\widehat i}$$ and $${\widehat j}$$ are unit vectors along x and y axis. What power will be developed by the force at the time t ?
A
(2t3 + 3t4) W
B
(2t3 + 3t5) W
C
(2t2 + 3t3) W
D
(2t2 + 4t4) W
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