Download Physics AIEEE 2009 1.A block of mass M is pulled along a

Physics
AIEEE 2009
1.A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m by applying a
force p at one end of the rope. The force which the rope exerts on the block is
a)
PM−m b)
PMM+m
c)
PmM+m
d)
Pm(M+m)
2.When a force of IN acts on a 1 kg body that is able to move freely, the body receives
a)
a speed of 1 m/s
b)
an acceleration of 1 m/s2
c)
an acceleration of 9.8 m/s2
d)
a momentum of 9.8NS
3.A ship of mass 3×107kg initially at rest is pulled by a force of 5×104Nthrough a distance of 3m.
Assuming that the resistance due to water is negligible the speed of the ship is
a)
1.5m/s b)
5 m/s c)
0.1 m/s d)
6 m/s
4.A large number of bullets are fired in all directions with the same speed v. The maximum area on the
ground on which these bullets will spread is
a)
πv2g b)
πv4g2 c)
πv2g2 d)
πv2g4
5.It is possible to project a particle with a given speed in two possible ways so that it has the same
horizontal range R. The product of the times taken by it in the two possible way is
a)
Rg
b)
2Rg
c)
3Rg
d)
4Rg
6.The angle of projection of a projectile is 300.The ratio of the horizontal range and the maximum height
is
a)
43
b)
33
c)
23
d)
33
7.Two balls are projected in direction at 300and 600with the horizontal. If both attain the same height and
ratio of their initial speed is
a)
3:1
b)
1:3
c)
3:2
d)
2:3
8.The range of a projectile, thrown with an initial speed u at an angle of projection 150is R. What will be
the ratio of their initial speed 2u at an angle 300
a)
2R
b)
23R
c)
4R
d)
43R
9.If the horizontal range of a particle is four times its maximum height, the angle of projection is
a)
300
b)
450
c)
600
d)
sin−114
10.A particle is shown horizontally from the top of a tower of height h with a velocity 2gh. It it strikes the
ground at a distance from the foot of the tower equals to
a)
h2
b)
2h3
c)
h
d)
2h
11.A particle projected horizontally from the top of a table touches the ground at a distance d from the
bottom edge of the table. If h is the height of the table, then the velocity of projection is
a)
h2gd b)
hg2d c)
d2gh d)
dg2h
12.A stone thrown vertically upwards from the top of a tower with an initial velocity u reaches the ground
with a velocity 3u. The height of the lower is
a)
3u28 b)
4u28 c)
6u28 d)
9u28
13.A stone dropped from a certain height can reach the ground in 5s. If it is stopped after 3 seconds of its
fall and then allowed to fall again, the time taken by the stone to reach the ground for the remaining
distance is
a)
2s
b)
3s
c)
4s
d)
6s
Starting from rest and moving with a constant acceleration a body covers a certain distance in time t. It
covers the second half of the distance in time
a)
t2
b)
t3
c)
t5
d)
t[1−12]
15.The displacement of x of a body varies with time as x=13t2+16t+3. The time taken by the body to
come to rest is
a)
36s
b)
30s
c)
26s
d)
24s
16.A balloon rises from rest with a constant acceleration g/8. A stone is released from it when it has risen
to a height h. The time taken by the stone to reach the ground is
a)
h/8
b)
2h/8
c)
2h/8
d)
4h/8
17.A bullet fired into a fixed wooden block loses half its velocity after penetrating 60cm. It comes to rest
after a further distance of
a)
10cm b)
20cm c)
40cm d)
60cm
18.The displacement time graphs for two particles A and B are straight lines inclined at 300 and 600to the
time axis. The ratio of their speeds νA:νB is
a)
3:1
b)
1:3
c)
3:1
d)
1:3
19.A body is projected vertically upwards. If t1and t2be the times at which it is at height h above the point
of projection while ascending and descending respectively then h is
a)
gt1t2 b)
12gt1t2 c)
2gt1t2 d)
gt1t2
20.A particle starting from rest has velocity that increases linearly with time as v=kt. Then the distance
covered by it in the first 3s is
a)
3k/2
b)
3k
c)
6k
d)
92k
21.A stone dropped from the top of travels 25m in the last second of its journey. The height of the is
(g=10m/s2)
a)
45m
b)
90m
c)
72m
d)
135m
22.Tripling the speed of a vehicle multiplies the minimum distance needed for stopping it by
a)
3
b)
6
c)
9
d)
92
23.A car covers the first half of a certain distance with a speed of v1and the second half with a speed
v2.The average speed during the whole journey is
a)
v1+v22 b)
v1v2v1+v2
c)
v12+v222
d)
2v1v2v1+v2
24.If X=aband Δaand Δb are the errors in the measurement of a and b respectively, then the maximum
percentage error in the value of x will be
a)
[Δaa+Δbb]×100 b)
[Δaa−Δbb]×100 c)
[Δaa−b+Δba−b]×100
d)
[Δaa−b−Δba−b]×100
25.The engine of a jet craft applies a thrust force of 105N during take off and causes the plane to attain a
velocity 1Km/sec in 10 seconds. The mass of plane is
a)
102kg b)
103kg c)
104kg d)
105kg
26.If the unit of length and force be accelerated 4 times, the unit of energy is increased by
a)
4 times b)
8 times c)
16 times
d)
32
times
27.While measuring the acceleration due to gravity by simple pendulum, a student makes a positive error
of 1% in the length of the pendulum and a negative error of 3% in the value of time period. The
percentage error in the measure measurement of 'g' is
a)
2%
b)
4%
c)
5%
d)
7%
28.At the top of the trajectory of a projectile, the directions of velocity and acceleration are
a)
perpendicular to each other
b)
parallel to each other c)
at an angle 450 d)
at an angle 1800
29.The velocity of freely falling body varies according to gphq where 'g' is the acceleration due to gravity
and 'h' is the height from where it is released. The value of p and q are
a)
12,12 b)
12,1
c)
1,12
d)
1,1
30.The dimension of impulse are same as those of
a)
momentum
b)
velocity c)
energy d)
power
31.The dimensional formula for impulse is
a)
MLT−2 b)
ML2T−1
c)
MLT−1 d)
M2LT−1
32.MLT is the dimension of
a)
power b)
momentum
c)
force d)
couple
33.Dimensions of power are
a)
ML2T−3
b)
ML2T−2
c)
ML2T−1
d)
MLT−2
34.A dip circle at right angle to the magnetic meridian. The apparent dip angle is
a)
00
b)
300
c)
600
d)
900
35.The time period of a magnet placed in vibration magnetometer will be infinity at
a)
magnetic equator
b)
magnetic poles c)
equator d)
all the places
36.A magnet is cut in three equal parts by cutting it perpendicular to its length. The time period of original
magnet is Toin a uniform magnetic field B. Then the time period at each part in the same magnetic field is
a)
T0/R b)
T0/3
c)
T0/4
d)
none of these
37.The real angle of dip, If a magnet is suspended at an angle of 300to the magnetic and dip needle
make an angle of 450will horizontal is
a)
tan−13/2
b)
tan+3 c)
tan−13/2
d)
tan−12/3
38.A small magnet of dipole moment M is kept on the arm of a deflection magnetometer set in tanA
position at distance of 0.2m. If the deflection is 600,the value of P is
a)
2.77Am2
b)
8Am2 c)
0.2Am2 d)
none of
these
39.Two dissimilar poles of strength xmWb and 2mWb are separated by a distance 12cm. If the null point
is at a distance of 4cm from 2mwb, then the value of x is
a)
5
b)
6
c)
7
d)
8
40.Relative permeability of iron is 5500; then its magnetic susceptibility will be
a)
5500×107
b)
5500×10−7
c)
5501 d)
5499
41.The certain amount of current when flowing in a properly set tangent galvanometer, produce a
deflection of 450.The current be reduced by a factor of 3 the deflection would
a)
decrease by 300
b)
decrease by 150
c)
increase by 150 d)
increase by 300
42.If the angle of dip at a certain place is 450 then the horizontal component H, vertical component V and
total intensity I of earth's magnetic field have the correct relationship given by
a)
H=2V b)
I=2H c)
I=2V
d)
V=2H
43.The angle of dip at place is 40.60and the intensity of the vertical component of the earth's magnetic
field V=b×10−5T. The total intensity of the earth's magnetic field at this place is
a)
7×10−5T
b)
6×10−5T
c)
1×10−5T
d)
5×10−5T
44.The dipole moment of a short bar magnet is 1.21Am2.The magnetic field on its axis at a distance of
0.Jm from the centre of the magnet is
a)
1×10−4N/Am b)
4×10−2N/Am c)
2×10−6N/Am d)
6.64×10−8N/Am
45.The resistivity of a tangent galvanometer is increased if
a)
number of turns decreases
b)
number of turns increases
c)
field increases d)
none of the above
46.Of the following, the most suitable material for making permanent magnet is
a)
steel
b)
soft iron c)
copper d)
nickel
47.The orbital component of the earth's magnetic field is zero at a place where the angle of dip is
a)
00
b)
450
c)
600
d)
900
48.Ratio between total intensity of magnetic field at equator to poles is
a)
1:1
b)
1:2
c)
2:1
d)
1:4
49.Which one of the following is a vector quantity?
a)
pole strength b)
permeability
c)
magnetic lines of forces
d)
magnetic pole
50.If magnetic lines of force are drawn by keeping magnet vertical, then number of neutral points will be
a)
one
b)
two
c)
four
d)
five