NEET TEST SERIES 12 PHYSICS

1. The only force acting on a 2.0 kg body as it moves along a positive x-axis has an x-component Fx =-6x with x in meters. The velocity at x=3 m is 8.0 m/s. The velocity of the body at x=4 m is

(A) 6.6 m/s
(B) 46.6 m/s
(C) 60 m/s             
(D) 96.6 m/s

2. From the top of a tower, a particle is thrown vertically downwards with a velocity of 10 m/s. The ratio of the distances, covered by it in the 3^rd  and 2^nd   seconds of the motion is (Take g = 10 m/s²)

(A) 5:7                              
(B) 7:5
(C) 3:6                              
(D) 6:3

3. A balloon is going upwards with velocity 12 m/sec. It releases a packet when it is at a height of 65 m from the ground. How much time the packet will take to reach the ground if g = 10 m/s²?

(A) 5 sec
(B) 6 sec
(C) 7 sec
(D) 8 sec

4.  A body sliding down on a smooth inclined plane slides down 1/4^th distance in 2 sec. It will slide down the complete plane in

(A) 4 sec        
(B) 2 sec
(C) 5 sec
(D)3 sec

5. A solid sphere of mass M and radius R rolls on a horizontal surface without slipping. The ratio of rotational kinetic energy to total kinetic energy is

(A) 1:2
(B) 2:5
(C) 2:7
(D) 7:10

6. In the given figure, represents the total acceleration of a particle moving in the clockwise direction in a circle of radius
R = 2.5 m at a given instant of time. The speed of the particle is

(A) 4.5 ms -1
(B) 5 ms-1
(C) 5.7 ms-1
(D) 6.2 ms-1

7. Three masses are connected as shown in figure on a horizontal frictionless surface and pulled by a force of 60 N. The tensions T₁ and T₂  are in the ratio

(A) 1:1
(B) 1:5
(C) 1:4
(D) 4:5

10. A body of mass 5 kg is acted on by a force F which varies with time t as shown in the given figure. Then the momentum gained by the body at the end of 10 seconds is

(A) 0 kg ms^-1              

(B) 100 kgms^-1

(C) 140 kgms^-1

(D) 200 kgms^-1

13. Three masses of 1 kg, 6 kg and 3 kg are connected to each other with strings and are placed on a table as shown in figure. What is the acceleration with which the system is moving? (Take g=10 ms^-2 )


a)zero

b)1 ms^-2

c)2 ms^-2

d)3 ms^-2

14. Two masses of 40 kg and 30 kg are connected frictionless pulley as shown in the figure. The acceleration of the system would be

a)0.7 ms^-2

b)0.8 ms^-2

c)0.6 ms^-2

d)0.5 ms^-2

15. The moment of inertia of a disc about an axis passing through its centre and normal to its plane is I. The disc is now folded along a diameter such that the two halves are mutually perpendicular. Its moment of inertia about this diameter will now be

16. The radius of a wheel is R and its radius of gyration about its axis passing through its Center and perpendicular to its plane is K. If the wheel is rolling without slipping the ratio of its rotational kinetic energy to its translational kinetic energy is

17. A trolley T of mass 5 kg on a smooth horizontal surface is pulled by a load of 2 kg through a uniform rope ABC of length 2 m and mass 1 kg, (figure). As the load falls from BC = 0 m to BC = 2 m, its acceleration, in  changes from (Take g = 10 m/s²)

18. A body of mass 2 kg travels according to the law x(t)=pt+qt²+rt³ where p=3 ms^-1  q=4 ms^-2  and r=5 ms^-3. The force acting on the body at t = 2 seconds is

a)136 N

b)134 N

c)158 N

d)68 N

19. A body of mass 10 kg is acted upon by two perpendicular forces, 6 N and 8 N. The resultant acceleration of the body is

a) 1 ms^-2 at an angle of tan^-1⁡4/3  w.r.t. 6 N force.

b) 0.2 ms^-2 at an angle of tan^-1⁡4/3  w.r.t. 6 N force.

c) 1 ms^-2 at an angle of tan^-1⁡4/3 w.r.t. 8 N force.
d) both (a) and (c).

20. A ball of mass 1 kg hangs in equilibrium from two strings OA and OB as shown in figure. What are the tensions in strings OA and OB? (Taking g=10 ms^-2)