1
NEET 2016 Phase 1
MCQ (Single Correct Answer)
+4
-1
Change Language
At what height from the surface of earth the gravitation potential and the value of g are $$-$$5.4 $$ \times $$ 107 J kg$$-$$1 and 6.0 m s$$-$$2 respectively? Take the radius of earth as 6400 km.
A
1400 km
B
2000 km
C
2600 km
D
1600 km
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 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
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
$$\sqrt {gR{{{\mu _s} + \tan \theta } \over {1 - {\mu _s}\tan \theta }}} $$
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