Which one of the following Cartesian coordinate systems is not followed in physics?

(a)

(b)

(c)

(d)

If a particle has negative velocity and negative acceleration, its speed

(a)

increases

(b)

decreases

(c)

remains same

(d)

zero

A ball is projected vertically upwards with a velocity v. It comes back to ground in time t. Which v-t graph shows the motion correctly?

(a)

(b)

(c)

(d)

If one object is dropped vertically downward and another object is thrown horizontally from the same height, then the ratio of vertical distance covered by both objects at any instant t is

(a)

1

(b)

2

(c)

4

(d)

0.5

Which one of the following satatement is true?

(a)

A scalar quantity is conserved in a process

(b)

A scalar quantity does not vary from one point to another in apace

(c)

A scalar quantity can never take -ve values

(d)

A scalar quantity has only magnitude and no direction.

The angle between A i +j and B = i - j is ______________.

(a)

45°

(b)

90°

(c)

-45°

(d)

180°

Distance is a scalar quantity and ______________ is a vector.

(a)

Speed

(b)

Length

(c)

Time

(d)

Displacement

The horizontal range of a projectile fired at an angle of 15° is 50 m. If it is fired with the same speed at angle of 45°, its range will be

(a)

125 m

(b)

75 m

(c)

100 m

(d)

150 m

Choose the motion in two dimension from the following.

(a)

Motion of a train along a straight railway track

(b)

An object falling freely under gravity close to the Earth.

(c)

A particle moving along a curved path in a plane.

(d)

Flying of a kite on a windy day.

The sum of the magnitutes of two forces acting at a point is 16N. The resultant of these forces is perpendicular to the smaller forces and has a magnitude of 8 N. If the smaller forces of magnitude x, then the value of x is

(a)

2 N

(b)

4 N

(c)

6 N

(d)

7 N

The component of vector A=2i+3j along the vector i+j is

(a)

\(\cfrac { 5 }{ \sqrt { 2 } } \)

(b)

\(10\sqrt { 2 } \)

(c)

\(5\sqrt { 2 } \)

(d)

5

A and B are two vectors and \(\theta \) is the angle between them,if \(|A\times B|\)=\(\sqrt { 3 } \)(A.B),the value of \(\theta \) is

(a)

\({ 60 }^{ 0 }\)

(b)

\({ 45 }^{ 0 }\)

(c)

\({ 30 }^{ 0 }\)

(d)

\({ 90 }^{ 0 }\)

The value of n so that vectors 2i+3j-2k,5i+nj+k and -i+2j+3k may be coplanar,will be

(a)

18

(b)

28

(c)

9

(d)

36

Given A=4i+6j and B=2i+3j.Which of the following is correct?

(a)

\(A\times B=0\)

(b)

A.B=24

(c)

\(\frac { |A| }{ |B| } =\frac { 1 }{ 2 } \)

(d)

A and B are anti-parallel

A boat is sent across a river with a velocity of 8 km/h.If the resultant velocity of boat is 10 km/h,then velocity of river is

(a)

10 km/h

(b)

8 km/h

(c)

6 km/h

(d)

4 km/h

if \(A.B=A\times B\),then the angle between A and B is

(a)

\({ 45 }^{ 0}\)

(b)

\({ 30 }^{ 0 }\)

(c)

\({ 60 }^{ 0 }\)

(d)

\({ 90 }^{ 0 }\)

If a vector 2i+3j+8k is perpendicular to the vector 4j-4i+\(\alpha k\), then value of \(\alpha \) is

(a)

-1

(b)

1/2

(c)

-1/2

(d)

1

If A=4i+4j+4k and B=3i+j+4k, then angle between vectors A and B is

(a)

\({ 180 }^{ 0 }\)

(b)

\({ 90 }^{ 0 }\)

(c)

\({ 45 }^{ 0 }\)

(d)

\({ 0 }^{ 0 }\)

Resultant of two vectors A and B is given by |R| = {|A|-|B|}, angle between A and B will be

(a)

90^o

(b)

180^o

(c)

0^o

(d)

None of these

The resultant of A and B makes an angle \(\alpha\) with A and \(\beta\) with B, then

(a)

\(\alpha < \beta\)

(b)

\(\alpha > \beta\) if A < B

(c)

\(\alpha < \beta\) if A = B

(d)

\(\alpha < \beta\) if A < B

At what angle should the two forces 2 P and \(\sqrt2\)P act so that the resultant force is P\(\sqrt{10}\)

(a)

45^o

(b)

60^o

(c)

90^o

(d)

120^o

Two vectors are such that |A + B| = |A - B|.  The angle between the vector is

(a)

0^o

(b)

30^o

(c)

60^o

(d)

90^o

If A and B are two non-zero vectors having equal magnitude, the angle between the vectors A and A - B is

(a)

0^o

(b)

90^o

(c)

180^o

(d)

dependent on the orientation of A and B

For the resultance of two vectors to be maximum what must be the angle between them

(a)

0^o

(b)

60^o

(c)

90^o

(d)

180^o

Five equal forces of 10 N each are applied at one point and all are lying in one plane.  If the angles between them are equal, the resultance force will be

(a)

zero

(b)

10 N

(c)

20 N

(d)

10\(\sqrt2\) N

Two vectors having equal magnitudes A make an angle \(\theta\) with each other.  The magnitude and direction of the resultant are respectively

(a)

2A cos\(\theta\over2\), along bisector

(b)

A cos \(\theta\over2\), at 45^o from one vector

(c)

2 A sin \(\theta\over2\), along bisector

(d)

A cos\(\theta\over2\),along bisector

The position vector of a moving particle at time t is r =  3 \(\hat i\) - 4 t\(\hat j\) - t\(\hat k\).  Its displacement during the time interval t = 1 s to t = 3 s is

(a)

\(\hat j \ - \ \hat k\)

(b)

\(3\hat i \ + \ 4\hat j \ - \ \hat k\)

(c)

\(9\hat i \ + \ 36\hat j \ - \ 27\hat k\)

(d)

None of these

Resultant of which of  a following may be equal to zero?

(a)

10 N, 10 N, 10 N

(b)

10 N, 10 N, 25 N

(c)

10 N, 10 N, 35 N

(d)

None of these

Out of the following set of forces, the resultant of which cannot be zero

(a)

10, 10, 10

(b)

10, 10, 20

(c)

10, 20, 20

(d)

10, 20, 40

The angle between A + B and A - B will be

(a)

90^o

(b)

between 0^o and 180^o

(c)

180^o only

(d)

None of these

Velocity is said to be variable, if ______________.

(a)

un equal displacement occur in equal intervals of time

(b)

direction of motion changes

(c)

both rate of motion and direction changes

(d)

all the above

Retardation means ____________.

(a)

decreases with time

(b)

increases with time

(c)

increases and decreases

(d)

decreases and increases

Slope of displacement-time graph at any instant gives ____________.

(a)

speed

(b)

acceleration

(c)

retardation

(d)

velocity

Slope of velocity-time graph at any instant gives ______________.

(a)

speed

(b)

acceleration

(c)

retardation

(d)

velocity

The numerical ratio of average velocity to average speed is ________________.

(a)

<1

(b)

=1

(c)

≤1

(d)

=0

If x = a cost is the displacement in time t then, acceleration is ____________

(a)

a cost

(b)

-a cost

(c)

a sint

(d)

-a sint

Choose the correct statement:

(a)

motion is an absolute term but rest is relative

(b)

motion is a relative term but rest is an absolute

(c)

both motion and rest are relative

(d)

both motion and rest are absolute

A passenger in the moving train tosses a coin. If the coin falls behind him, train must be moving with _____________.

(a)

acceleration

(b)

deceleration

(c)

uniform speed

(d)

all the above

A passenger in the moving train throws a coin. If the coin falls in front of him, train must be moving with ________________.

(a)

uniform speed

(b)

acceleration

(c)

deceleration

(d)

uniform velocity

An object accelerates from rest at a constant rate 'a' for some time and afterwards, it decelerates at a constant, rate 'b' to come to rest If the total time elapsed is 't', the maximum velocity acquired by the object is _________________.

(a)

\(abt\over(a+b)\)

(b)

\({(a+b)t\over ab}\)

(c)

\(t\over (a+b)\)

(d)

\((a+b)t\)

The distance covered by an object falling down freely under gravity in the last second of its motion is equal to the distance covered by it during the first five seconds of its motion. The time (in seconds) taken by the object to reach the ground is ______________.

(a)

8

(b)

5

(c)

13

(d)

10

The speed of a train is reduced from 60 kmh^-1 to 15 kmh^-1 in a distance of 450 m. If the retardation is uniform is the distance, it will travel further before coming to rest is _______________.

(a)

25m

(b)

30m

(c)

15m

(d)

20m

A stone projected vertically upwards with a speed of 15 ms^-1 from the top of a tower strikes the base of the tower in 5s. The height of the tower is (g = 10 ms^-2)

(a)

20m

(b)

45m

(c)

50m

(d)

35m

A lift, in which a boy is standing, moves upwards with a constant speed of 9.8 ms^-1. If the boy drops a coin from a height of 2.5 m, the time taken by it to reach the floor of the lift is ___________ (g = 10 ms·^-2)

(a)

\(\sqrt{2s}\)

(b)

\({1\over \sqrt{3}}s\)

(c)

\(\sqrt{3s}\)

(d)

\({1\over\sqrt{2}}s \)

An aeroplane moving horizontally with a speed of 180 kmhr^-1 drops a food packet while flying at a height of 490 m. while horizontal range of the food packet is _____________.

(a)

500m

(b)

200m

(c)

650m

(d)

925m

Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time t₁. On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time f₂. The time taken by her to walk upon the moving escalator will be _______________

(a)

\({t_1t_2\over t_2-t_1}\)

(b)

\({t_1t_2\over t_2+t_1}\)

(c)

t₁-t₂

(d)

\({ t_2+t_1\over 2}\)

A car moves from X to Y with a uniform speed V_u and returns to Y with a uniform speed vd The average speed for this round trip is ___________.

(a)

\(\sqrt{v_uv_d}\)

(b)

\({v_dv_u\over v_d+v_u}\)

(c)

\({v_u+v_d\over 2}\)

(d)

\({2v_dv_u\over v_d+v_u}\)

The position x of a particle with respect to time t along x-axis is given by x = 9t² + t³ where x is in metres and t in seconds. What will be the position of this particle when it achieves maximum speed along the +x direction?

(a)

54m

(b)

81m

(c)

24m

(d)

32m

Two bodies A (of mass 1 kg) and B (of mass 3 kg) are dropped from heights of 16 m and 25 m, respectively. The ratio of the time taken by them to reach the ground is _____________.

(a)

4/5

(b)

5/4

(c)

12/5

(d)

5/12

A ball is thrown vertically upward. It has a speed of 10 m/sec when it has reached one half of its maximum height. How high does the ball rise?(Take g = 10 m/s²)

(a)

10 m

(b)

5 m

(c)

15 m

(d)

20 m

A particle is thrown vertically upward. Its velocity at half of the height is 10 m/s, then the maximum height attained by it __________ (g = 10 m/s²)

(a)

8m

(b)

6m

(c)

10m

(d)

16m

Motion of a particle is given by equation s = (3t³+7t²+14t+8)m. The value of acceleration of the particle at t=1 sec is _____________.

(a)

10m/s²

(b)

32m/s²

(c)

23m/s²

(d)

16m/s²

If a car at rest accelerates uniformly to a speed of 144 km/h in 20 sec, it covers a distance of _______________.

(a)

1440cm

(b)

2980cm

(c)

20m

(d)

400m

The acceleration of a particle is increasing linearly with time t as bt, The particle starts from origin with an initial velocity v_o. The distance travelled by the particle in time t will be ________________.

(a)

\(v_ot+{1\over 3}bt^2\)

(b)

\(v_ot+{1\over 2}bt^2\)

(c)

\(v_ot+{1\over 6}bt^2\)

(d)

\(v_ot+{1\over 3}bt^3\)

The water drop falls at regular intervals from a tap 5 m above the ground. The third drop is leaving the tap at instant the first drop touches the ground. How far above the ground is the second drop at that instant?

(a)

3.75m

(b)

4.00m

(c)

1.25m

(d)

2.50m

The velocity of train increases uniformly from 20 km/h to 60 km/h in 4 hours. The distance travelled by the train during this period is _____________.

(a)

160km

(b)

180km

(c)

100km

(d)

120km

The radius of the earth was measured by _____________.

(a)

Newton

(b)

Eratosthenes

(c)

Galileo

(d)

Ptolemy

The branch of mechanics which deals with the motion of objects without taking force into account is _______________.

(a)

kinetics

(b)

dynamics

(c)

kinematics

(d)

statics

If the coordinate axes (x, y, z) are drawn in anticlockwise direction then the co-ordinate system is known as ______________.

(a)

Cartesian coordinate system

(b)

right-handed coordinate system

(c)

left-handed coordinate system

(d)

cylindrical coordinate system

Spreading smoke of incense stick is an example of ___________.

(a)

one dimensional motion

(b)

two dimensional motion

(c)

three dimensional motion

(d)

none