1
NEET 2018
+4
-1
A block of mass m is placed on a smooth inclined wedge ABC of inclination q as shown in the figure. The wedge is given an acceleration ‘a’ towards the right. The relation between a and q for the block to remain stationary on the wedge is
A
$$a = {g \over {\cos ec\theta }}$$
B
$$a = {g \over {\cos ec\theta }}$$
C
$$a = g\cos \theta$$
D
$$a = g\tan \theta$$
2
NEET 2017
+4
-1
One end of string of length $$l$$ is connected to a particle of mass 'm' and the other end is connected to a small peg on a smooth horizontal table. If the particle moves in circle with speed '$$\upsilon$$', the net force on the particle (directed towards centre) will be (T represents the tension in the string)
A
$$T + {{m{v^2}} \over l}$$
B
$$T - {{m{v^2}} \over l}$$
C
zero
D
$$T$$
3
NEET 2017
+4
-1
Two blocks A and B of masses 3m and m respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in figure. The magnitudes of acceleration of A and B immediately after the string is cut, are respectively

A
$${g \over 3},g$$
B
$$g, g$$
C
$${g \over 3},{g \over 3}$$
D
$$g,{g \over 3}$$
4
NEET 2016 Phase 1
+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
$$\sqrt {gR{{{\mu _s} + \tan \theta } \over {1 - {\mu _s}\tan \theta }}}$$
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