Q.1.
A particle moves in plane with constant acceleration in a direction different from the initial velocity. The path of the particle is a
-
100%
a)straight line
-
0%
b) arc of a circle
-
0%
c)parabola
-
0%
d)ellipse
Q.2.
The vector sum of N coplanar forces each of magnitude F, when each force is making an angle (2π / N) with the preceding one is
-
33%
a) NF
-
67%
b)NF /2
-
0%
c)F/2
-
0%
d)zero
Q.3.
If A=Acosθi - Asinθj be any vector. Another vector B , which is normal to A can be expressed as [ NCRT 1984]
-
0%
a)Bcosθi - Bsinθj
-
33%
b) Bcosθi + Bsinθj
-
67%
c)Bsinθi - Bcosθj
-
0%
d)Bsinθi + Bcosθj
Q.4.
A grasshopper can jump a maximum horizontal distance of 20 cm. If it spends negligible time on the ground, what is its speed of travel along the road
-
0%
a) √2
-
33%
b) 1 m/s
-
67%
c) 1/√2 m/s
-
0%
d) can not be calculated
Q.5.
An object is thrown along the direction inclined at an angle of 45° with horizontal direction. The horizontal range of the particle is .. [ MPPMT 1985]
-
33%
a)vertical height
-
33%
b) twice the vesicle height
-
0%
c)thrice the vertical height
-
33%
d)four times the vertical height
Q.6.
The height y and the distance x along the horizontal plane of projectile on a certain planet ( with no surrounding atmosphere) are given byy=8t - 5t2 meter and x=6t meter, where t is in seconds. the angle with which the projectile is projected is
-
67%
a) tan-1(3/4)
-
0%
b) tan-1(4/3)
-
0%
c)sin-1(3/4)
-
33%
d)not obtainable form given data
Q.7.
A gun fires two bullets at 60° and 30° with horizontal. The bullets strikes at same horizontal distance. The ratio of maximum height for the two bullets is in the ratio..
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33%
a) 2:1
-
0%
b) 3:1
-
33%
c)4:1
-
33%
d)1:1
Q.8.
A hose pipe lying on the ground shoots a stream of water upward at an angle of 60° to the horizontal. The speed of the water is 20m/s as it leaves the hose. It will strike a wall 10m away at height of
-
100%
a) 10.5 m
-
0%
b) 12.32 m
-
0%
c) 10 m
-
0%
d) 20 m
Q.9.
A boy aims a gun at a bird from a point, at horizontal distance of 100 m. if gun can impart the velocity of 500 m/s to the bullet, what height above the bird must he aim his gun in order to hit it? ( take g=10 m/sec2
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33%
a)100 cm
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67%
b) 50 cm
-
0%
c)40 cm
-
0%
d)20 cm
Q.10.
In the arrangement shown in figure, the ends of P and Q of an un stretchable string move downwards with speed u. Pulley are fixed. Mass M moves upwards with speed of [CPMT 1990]
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33%
a) 2ucosθ
-
0%
b) u/cosθ
-
33%
c)2u/cosθ
-
33%
d)ucosθ
Explanation
Q.11.
A bus is moving on the straight road towards north with a uniform speed of 50km/he then it turns left through 90°. If the speed remains unchanged after turning, the increase in the velocity of bus in turning process is [ CBSE 1990]
-
50%
a) 70.7 km/he along south-west direction
-
0%
b) zero
-
50%
c)50km/he along west
-
0%
d)70.7 km/h along north-west direction
Explanation
Q.12.
The angle between the vector A and B is θ. The value of the triple product A⋅B ×A is
-
33%
a) A2B
-
0%
b) zero
-
33%
c) A2Bsinθ
-
33%
d) A2Bsinθ
Q.13.
A projectile is projected upward direction making an angle of 60° with horizontal direction with velocity 147m/sec. Then, the time after which inclination with the horizontal is 45° is
-
0%
a)15 sec
-
0%
b) 10.98 sec
-
67%
c)5.49 sec
-
33%
d)2.745 sec
Explanation
Q.14.
From the top of tower of height 40m ball is projected upwards with speed of 20m/s at an angle of elevation of 30°. Then the ratio of total time taken by the ball to hit the ground to its time of flight( time take to come back to the same elevation) is
-
0%
a) 2:1
-
50%
b) 3:1
-
0%
c)3:2
-
50%
d)4:1
Q.15.
A body has an initial velocity of 3m/s and acceleration of 1m/s2, normal to the direction of initial velocity. Then the velocity of the body 4 seconds after start is
-
0%
a) 7 m/s along initial velocity
-
50%
b) 7 m/s in the normal direction to initial velocity
-
0%
c)7 m/s midway between initial and normal direction
-
50%
d)5 m/sec at an angle of tan-1(4/3) with the direction of initial velocity
Explanation
Q.16.
A bomb is fired from a canon with velocity V m/sec at an angle θ with the horizontal direction. At highest point of its path it explodes into two pieces of equal masses. One of the pieces retraces its path, then the speed of the other piece immediately after explosion is
-
0%
a) 3Vcosθ
-
50%
b) 2Vcosθ
-
50%
c) (3/2) Vcosθ
-
0%
d) (√3/2) Vcosθ
Q.17.
The equation of projectile is y=√3 x -gx2/2 angle of projection is
-
0%
a)tanθ=1/ √3
-
0%
b) tanθ=√3
-
0%
c)π/2
-
100%
d)zero
Explanation
Q.18.
A blind person after walking 10 steps in one direction, each of length 80cm, turns randomly to left or right by 90°. After waking of total of 40 steps, the maximum displacement of the person from its starting point can be
-
0%
a) 32 m
-
50%
b) 16√2 m
-
50%
c)8√2 m
-
0%
d)0 m
Q.19.
A boat is moving with velocity 3i+4j with respect to ground. The water in the river is moving with velocity -3i-4j with respect to ground. The relative velocity of the boat with respect to water is [ EAMCET 1991]
-
0%
a)-6i-8j
-
50%
b)3i+3j
-
0%
c)6i+8j
-
50%
d)3i+8j
Q.20.
Two particles start to move with velocity u and v, along x-axis and y-axis respectively, from the origin. The acceleration of the first particle with respect to the second is
-
0%
a) √(u2+v2)
-
0%
b) zero
-
100%
c) u+v
-
0%
d) none of these
Q.21.
Two like parallel forces of 4 N and 6N acts on a body at a separation of 4m. The resultant will be ..[ UPSC 1994]
-
0%
a)2.4 m from 4 N
-
50%
b) 2.4m from 6N
-
0%
c)2.0 m from 6N
-
50%
d)1. m from 4N
Q.22.
If two non-zero vectors A and B obey the relation A+B=-B , the angle between them is .. [ M.N.R. 1994]
-
0%
a) 120°
-
0%
b) 90°
-
50%
c)60°
-
50%
d)0°
Q.23.
The friction of the air causes a vertical retardation of 10% in acceleration due to gravity. The maximum height will decreased by
-
50%
a) 11%
-
0%
b) 10%
-
50%
c)9%
-
0%
d)8%
Q.24.
Given that A + B=C and that C is ⊥ to A. Further if |A|=|C| , then what is the angle between A and B [ CPMT 1998]
-
50%
a) π/4 radian
-
0%
b) π/2 radian
-
0%
c) 3π/4 radian
-
50%
d) π radian
Q.25.
Component of 3i+4j perpendicular to i+j and in the same plane as (3i+4j) is
-
0%
a)(1/2) (j-i)
-
50%
b) (3/2) (j-i)
-
0%
c)(5/2) (j-i)
-
50%
d)(7/2) (j-i)
Q.26.
If A=iAcosΘ -jAsinΘ be any vector. Another vector B, which is normal to B can be expressed as
-
0%
a) BcosΘi+BsinΘj
-
0%
b) BcosΘi-BsinΘj
-
0%
c)BsinΘi+BcosΘj
-
100%
d)BsinΘi - BcosΘj
Q.27.
If A=B + C and the magnitude of A, B and C are 5, 4 and 3 units respectively. The angle between A and C is ...
-
50%
a) cos-1(3/5)
-
0%
b) cos-1(4/5)
-
50%
c)π/2
-
0%
d)sin-1(3/5)
Q.28.
During projectile motion quantities that remain unchanged are [ C.P.M.T 1994]
-
0%
a) force and vertical velocity
-
0%
b) acceleration and horizontal velocity
-
50%
c) kinetic energy and acceleration
-
50%
d) acceleration and momentum
Q.29.
The simple sum of two forces acting at a point is 16N and there sum is 8N and its direction is perpendicular to the smaller force, then the forces are.. [ CPMT 1997]
-
50%
a)6 newton and 10 newton
-
0%
b) 8 newton and 8 newton
-
0%
c)4 newton and 12 newton
-
50%
d)2 newton and 14 newton
Q.30.
A stuntman plans to run across a roof top and then horizontally off it to land on the roof of the next building. The roof of the next building is 4.9 meter below the first one and 6.2 meter away from it. What should be his minimum roof top speed in m/s, so that he can successfully make the jump [A.M.U.P.M.T 1997]
-
0%
a) 3.1
-
50%
b) 4.0
-
0%
c)4.9
-
50%
d)6.2