Q.1.
A projectile is fired at an angle of 45° with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection is .. [ CBSE-PMT 2011]
-
11%
a)60°
-
11%
b) tan-1 (1/2)
-
22%
c)tan-1(√3 / 2)
-
56%
d)45°
Explanation
Q.2.
The vector A and B are such that|A + B |=| A - B | The angle between the two vectors is .. [ CBSE-PMT 2006]
-
0%
a) 60°
-
0%
b) 75°
-
43%
c)45°
-
57%
d)90°
Q.3.
The magnitude of vectors A, B, C are 3, 4 and 5 units respectively. If A + B=C then the angle between A and B is .. [ CBSE-PMT 1998]
-
20%
a) π /2
-
50%
b) cos-10.6
-
10%
c)tan-1 7/5
-
20%
d)π/4
Q.4.
A × B|=AB √3, then the value of |A+B| is .. [ CBSE-PMT 2004]
-
38%
a) (A2 + B2 + AB√3) 1/2
-
12%
b) (A2 + B2 + AB) 1/2
-
38%
c) (A2 + B2 + AB/√3) 1/2
-
12%
d) A + B
Q.5.
If the angle between the vectors A and B is θ, the value of the product (B ×A) . A is equal to ... [ CBSE-PMT 2005]
-
14%
a)BA2sinθ
-
43%
b) BA2cosθ
-
43%
c)BA2sinθcosθ
-
0%
d)zero
Q.6.
A bullet is fired from a gun with speed of 1000 m/s in order to fit a target 100 m away. At what height above the target should the gun be aimed? ( resistance of air is negligible and g=10 m/s2 [CBSE-PMT 1995]
-
17%
a) 5cm
-
33%
b) 10cm
-
50%
c)15cm
-
0%
d)20cm
Q.7.
for angle of projection of a particle (45° - θ) and (45° + θ), the horizontal ranges described by the projectile are in the ratio [ CBSE-PMT 2006]
-
0%
a) 1 : 3
-
40%
b) 1 : 2
-
40%
c)2 : 1
-
20%
d)1 : 1
Q.8.
A bus is moving on a straight road towards north with uniform speed of 50 km/h turns through 90° . If the speed remains un changes after turning the increase in the velocity of bus in the turning process is .. [ CBSE-PMT 1989]
-
20%
a) 70.7 km/h along south-west direction
-
60%
b) zero
-
20%
c) 50 km/h along west
-
0%
d) 70.7 km/h along north-west direction
Explanation
Q.9.
A boat is sent across a river with velocity of 8 km/h. If the resultant velocity of boat is 10km/h, then the velocity of the river is .. [CBSE-PMT 1993]
-
33%
a)12.8 km/h
-
33%
b) 6 km/h
-
33%
c)8 km/h
-
0%
d)10 km/h
Q.10.
The maximum range of a gun of horizontal terrain is 16 km. If g=10 m/s2, then muzzle velocity of a shell must be.. [ CBSE-PMT 1990]
-
50%
a) 160 m/s
-
25%
b) 200√2 m/s
-
0%
c)400 m/s
-
25%
d)800 m/s
Q.11.
A body constrained to move in y-direction , is subjected to force given byF=( -2i + 15j + 6k ) N. What is the work done by this force in moving the body through a distance of 10m along y-axis [ CBSE-PMT 1994]
-
33%
a)190 J
-
0%
b) 160 J
-
67%
c)150 J
-
0%
d)20 J
Q.12.
Two particles A and B are connected by a rigid rod AB. The rod slides along perpendicular rails as shown here. The velocity of A to the left is 10 m/s. What is the velocity of B when angle α=60°? [ CBSE -PMT 1998]
-
50%
a) 5.8 m/s
-
33%
b) 9.8 m/s
-
17%
c) 10 m/s
-
0%
d) 17.3 m/s
Explanation
Q.13.
The result of (A × 0) will be equal to .. [ CBSE-PMT 1992]
-
25%
a)zero
-
0%
b) A
-
50%
c)zero vector
-
25%
d)unit vector
Q.14.
A particle moving with a velocity v=6i -4j+3k m/s under the influence of a constant force F=20i + 15j - 5kThe instantaneous power applied to the particle is .. [ CBSE-PMT 2000]
-
33%
a) 45 J/s
-
33%
b) 35 J/s
-
0%
c)25 J/s
-
33%
d)195 J/s
Q.15.
A boat which has a speed of 5 km/h in still water crosses a river of width 1 km along the shortest possible path in 15 minutes. the velocity of the river water in km/h is .. [ CBSE-PMT 2000]
-
25%
a) 3
-
0%
b) 4
-
75%
c)√21
-
0%
d)1
Explanation
Q.16.
The angle between the two vectors A=3i+4j+5k and B=3i + 4j -5k will be.. [ CBSE-PMT 2001]
-
0%
a) zero
-
50%
b) 45°
-
25%
c) 90°
-
25%
d) 180°
Q.17.
A body of 3kg moves in the XY plane under the action of force given by 6ti + 4tj . Assuming that the body is at rest at time t=0, the velocity of the body at t=3s is... [ CBSE - PMT 2002]
-
0%
a)6i + 6j
-
33%
b) 18i + 6j
-
67%
c)18i + 12j
-
0%
d)12i + 18j
Q.18.
three forces acting on a body are shown in the figure. To have the resultant force only along the y direction, the magnitude of the minimum additional force needed is ... [ CBSE-PMT 2008]
-
20%
a) 0.5 N
-
40%
b) 1.5 N
-
20%
c)[(√3) / 4] N
-
20%
d)√3 N
Explanation
Q.19.
Consider a F=4i - 3j. Another vector perpendicular to F is ..[MPPMT 1987]
-
0%
a) 4i + 3j
-
17%
b) 6i
-
33%
c)7k
-
50%
d)3i - 4j
Q.20.
An aeroplane moves 400 m towards the north, 300 m towards west and then 1200m vertically upwards, then its displacement from the initial position is [ CBSE-PMT 1998]
-
33%
a) 1600 m
-
33%
b) 1800 m
-
33%
c)1500 m
-
0%
d)1300 m
Explanation
Q.21.
for ordinary terrestrial experiments, the observer in an inertial frame in the following cases is .. [ AIIMS 2010]
-
0%
a) a child revolving in a giant wheel
-
80%
b) a driver in a sports car moving with constant speed of 200 km/h on a straight road
-
20%
c) the pilot of an aeroplane which is taking off
-
0%
d) a cyclist negotiating a sharp curve
Q.22.
Rain is falling vertically downwards with a velocity of 3km/h. A man walks in the rain with a velocity of 4km/h. The rain drop will fall on the man with a velocity... [ AIIMS 1997]
-
33%
a)5 km/h
-
33%
b) 4 km/h
-
0%
c)1 km/h
-
33%
d)3 km/h
Q.23.
At the uppermost point of projectile, its velocity and acceleration are at an angle of ...[ AIIMS 2002]
-
0%
a) 180°
-
20%
b) 90°
-
60%
c)60°
-
20%
d)150°
Q.24.
If R and H represent the horizontal range and the maximum height achieved by a projectile then which of the relation exists?
-
20%
a) H/R=4cotθ
-
0%
b) R/H=4cotθ
-
40%
c)H/R=4tanθ
-
40%
d)R/H=4tanθ
Explanation
Q.25.
A projectile can have the same range R for two angle of projection. If t1 and t2 be the time of flights in the two cases, then the product of two time of flights is proportional to .. [ AIIMS 2008]
-
33%
a) 1/ R2
-
50%
b) R2
-
17%
c) R
-
0%
d) 1/R
Explanation
Q.26.
If A ×B=B×A , then angle between A and B is .. [ AIEEE 2004]
-
17%
a)π /2
-
0%
b) π/3
-
17%
c)π
-
67%
d)π/4
Q.27.
A ball whose kinetic energy is E, projected at an angle of 60° to the horizontal. The kinetic energy of the ball at the highest point of its flight will be .. [ AIEEE 2002]
-
50%
a) E
-
33%
b) E/ √2
-
17%
c)E/4
-
0%
d)zero
Q.28.
A boy playing on the roof of a 10 m height building throws a ball with speed of 10 m/s at an angle of 30° with the horizontal. How far from the throwing point will the ball be at height of 10m from the ground? [ AIEEE 2003][g=10 m/s2, sin30=1/2, cos30=√3 /2]
-
17%
a) 5.2 m
-
33%
b) 4.33 m
-
33%
c)2.6 m
-
17%
d)8.66 m
Explanation
Q.29.
A particle is moving eastwards with a velocity of 5m/s. In 10 sec the velocity changes to 5m/s northwards. The average velocity in this time is ..[ AIEEE 2005]
-
0%
a) (1/2) ms-2 towards north
-
0%
b) (1/√2) ms-2 towards north-east
-
83%
c) (1/√2) ms-2 towards north-west
-
17%
d) zero
Explanation
Q.30.
The coordinates of moving particle at any time 't' are given by x=αt3 and y=βtthe speed of the particle at time 't' is given by ... [ AIEE 2003]
-
0%
a)
-
25%
b)
-
25%
c)
-
50%
d)
Explanation
