Q.1.
A particle moves in a plane with a constant acceleration in a direction different from the initial velocity. The path of the particle is a
-
28%
a) straight line
-
26%
b) arc of a circle
-
39%
c)parabola
-
7%
d)ellipse
Q.2.
At the top of the trajectory of a projectile the directions of its velocity and acceleration are
-
10%
a) parallel to each other
-
28%
b) inclined at an angle of 45° to the horizontal
-
51%
c)perpendicular to each other
-
10%
d)none of the above statement is correct
Q.3.
The angle between two vectors of magnitude 12 and 18 units when their resultant is 24 units is ... [ CBSE-PMT 1999]
-
26%
a) 63°51'
-
35%
b) 75°52'
-
26%
c)82°31'
-
13%
d)89°16'
Q.4.
If A=2i + 3j and B=i + 4j + k , then unit vector along (A+B) is
-
63%
a)(3i + 7j + k) / √59
-
22%
b) (2i + 3j ) / √59
-
11%
c)(i + 4j + k )/ √18
-
4%
d)(2i + 3j)/ √13
Q.5.
if a unit vector is represented by 0.5i + 0.8j + ck, the value of c is .. [ CBSE-PMT 1999]
-
23%
a) 1
-
38%
b)√(0.11)
-
19%
c)√(0.01)
-
19%
d)0.39
Q.6.
A 5000 kg rocket is set for firing. The exhaust speed is 800m/s. To give an initial upward acceleration of 20 m/s2, the amount of gas ejected per second to supply the needed thrust will be [AFMC1997]
-
16%
a) 137.5 kg/sec
-
36%
b) 185.5 kg/sec
-
32%
c) 125 kg/sec
-
16%
d) 187.5kg/sec
Q.7.
A particle revolves around a circular path, the centripetal acceleration of the particle is inversely proportion to [AFMC1997]
-
0%
a) mass of particle
-
45%
b) radius of particle
-
27%
c) velocity of particle
-
27%
d) both (a) and (c)
Q.8.
What is the dot product of two vectors of magnitude 3 and 5, if the angle between them is 60o? [AFMC 1997]
-
8%
a) 5.2
-
56%
b) 7.5
-
32%
c) 8.4
-
4%
d) 8.6
Q.9.
If an iron ball and wooden ball of the same radius are released from a height h in vacuum the time taken by both of these to reach to ground is [ AFMC1998]
-
15%
a) roughly equal
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50%
b) exactly equal
-
15%
c) unequal
-
20%
d) zero
Q.10.
If two numerically equal forces P and Q acting at a point produce a resultant force of magnitude P then the angle between the two original forces is [AFMC1998]
-
26%
a)120o
-
32%
b) 90o
-
26%
c) 0o
-
16%
d) 45o
Q.11.
A stone is dropped from a certain height which can reach the ground in 5 seconds. If stone is dropped and stopped after 3 sec of fall, and then allowed to fall again, then the time taken by the stone to reach the ground for the remaining distance is.. [AFMC1998]
-
19%
a) 3 sec
-
31%
b) 4 sec
-
50%
c) 2 sec
-
0%
d) none of these
Q.12.
An aeroplane is moving with a horizontal velocity u at a height h . The velocity of a packet dropped from it on the earth`s surface will be [AFMC 1999]
-
13%
a)(u2 - 2gh )½
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20%
b) 2gh
-
60%
c)( gh )½
-
7%
d) (u2 + 2gh )½
Q.13.
A bomb is dropped from an aeroplane moving horizontally at constant speed. If air resistance is taken in to consideration , then the bomb [AFMC1999]
-
20%
a) falls on earth exactly below the aeroplane
-
60%
b) falls on the earth exactly behind the aeroplane
-
7%
c) falls on the earth ahead of aeroplane
-
13%
d) flies with the aeroplane
Q.14.
A stone is thrown with an initial speed of 4.9 m/s from a bridge in vertically upward direction . It falls down in water after 2 sec. The height of the bridge is [AFMC1999]
-
9%
a) 24.7 m
-
45%
b) 19.8 m
-
27%
c) 9.8 m
-
18%
d) 4.9 m
Q.15.
Two vectors A and B are such that |C|=|A| + |B| If θ is the angle between positive direction of vector A and vector B then the correct statement is [AFMC 1999]
-
9%
a) θ=π
-
36%
b)2π/3
-
27%
c) θ=0
-
27%
d) θ=π/2
Q.16.
The speed of a boat is 5 km/hr in still water. If it crosses river of width 1km along the shortest possible path in 15 minutes, the velocity of the river's water is
-
11%
a) 1km/hr
-
11%
b) 2km/hr
-
33%
c) 3km/hr
-
44%
d) 4km/hr
Explanation
Q.17.
A missile moves is fired for maximum range with initial velocity 20 m/s. If g=10 m/s2, the range of the missile is ... [ CBSE-PMT 2011]
-
82%
a)40 m
-
9%
b) 50m
-
9%
c)60 m
-
0%
d)20 m
Explanation
Q.18.
If a body A of mass M is thrown with velocity 'a' at an angle of 30° to the horizontal and another body B of same mass is thrown with same speed at angle of 60° to the horizontal the ratio of horizontal range of A and B will be.. [ CBSE-PMT 1992]
-
18%
a) 1 : 3
-
27%
b) 1:1
-
27%
c)1:√3
-
27%
d)√3 : 1
Q.19.
From a 10 m high building a stone 'A' is dropped and simultaneously another identical stone 'B' is thrown horizontally with an initial speed of 5 m/s. which one of the following statement is true? [ CBSE-PMT 2002]
-
11%
a)It is not possible to calculate which one of the two stones ill reach the ground first
-
44%
b) Both the stones ('A' and 'B') will reach the ground simultaneously.
-
33%
c)'A' stone reach the ground earlier than 'B'
-
11%
d)'B' stone reach the ground earlier than 'A'
Q.20.
A particle of mass m is projected with velocity 'v' making an angle of 45° with the horizontal . When the particle lands on the level ground the magnitude of the change in its momentum will be.. [ CBSE- pmt 2008]
-
20%
a) 2mv
-
20%
b) (mv) / √2
-
20%
c) mv√2
-
40%
d) zero
Q.21.
The circular motion of a particle with constant speed is .. [ CBSE-PMT 2005]
-
33%
a)periodic but not simple harmonic
-
22%
b) simple harmonic but not periodic
-
22%
c)periodic and simple harmonic
-
22%
d)neither periodic nor simple harmonic
Q.22.
A particle starting from the origin (0,0) moves in a straight line in the (x, y) plane. Its coordinates at a later time are (√3, 3). The path of the particle makes with the x-axis an angle of .. [ CBSE-PMT 2007]
-
40%
a) 45°
-
30%
b) 60°
-
10%
c)0°
-
20%
d)30°
Explanation
Q.23.
if vector A and B are perpendicular to each other then value of α is .., [ CBSE-PMT 205]
-
11%
a)1/2
-
33%
b) -1/2
-
22%
c)1
-
33%
d)-1
Explanation
Q.24.
Two boys are standing at the ends A and B of ground where AB=a. The boy at B starts running in a direction perpendicular to AB with velocity vThe boy at A starts running simultaneously with velocity 'v' and catches the other boy in time t, where t is.. [ CBSE-PMT 2005]
-
20%
a)
-
20%
b)
-
20%
c)
-
40%
d)
Explanation
Q.25.
The vector sum of two forces is perpendicular to their vector differences. In that case, the forces... [ CBSE-PMT 2003]
-
22%
a)can not predicted
-
22%
b) are equal to each other
-
33%
c)are equal to each other in magnitude
-
22%
d)are not equal to each other in magnitude
Explanation
Q.26.
the position vector of a particle is r=(acosωt)i + (asinωt)j. The velocity of the particle is .. [ CBSE-PMT 1995]
-
12%
a) directed towards the origin
-
25%
b) directed away from origin
-
12%
c)parallel to the position vector
-
50%
d)perpendicular to the position vector
Q.27.
Two projectiles are fired from the same point with same speed at an angle of projection 60° and 30° respectively. Which one of the following is true? [ CBSE-PMT 200]
-
22%
a) Their maximum height will be same
-
33%
b) Their range will be same
-
44%
c)Their landing velocity will be same
-
0%
d)There time of flight will be same
Q.28.
A ball whose kinetic energy is E, is thrown at an angle of 45° with the horizontal. It's kinetic energy at the highest point of its flight will be..[ CBSE-PMT 1997]
-
12%
a) E
-
50%
b) E/2
-
38%
c) E/ √2
-
0%
d) 0
Q.29.
A person swims in river aiming to reach exactly opposite point on the bank of river. His speed of swimming is 0.5 m/s at an angle 120° with the direction of flow of water. The speed of water in stream is ... [ CBSE-PMT 1999]
-
11%
a)1.0 m/s
-
67%
b) 0.5 m/s
-
22%
c)0.25 m/s
-
0%
d)0.43 m/s
Explanation
Q.30.
A particle moves with a velocity given by vector v=(6i -4j +3k) m/s, under the influence of a constant force F=20i + 15j - 5k N. The instantaneous power applied to the particle is .. [ CBSE-PMT 2000]
-
11%
a) 45 J/s
-
44%
b) 35 J/s
-
22%
c) 25 J/s
-
22%
d) 195 J/s