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Kinematics-1D

346 Questions Start Allen Test
All Exams Allen Objective Errorless
2000 Q1 Allen 6. GROUND TO GROUND PROJECTION MCQ
The maximum range of a projectile fired with some initial velocity is found to be 2000 m. The maximum height (H) reached by this projectile is:
A.
250 metre
B.
500 metre
C.
1000 metre
D.
2000 metre
2000 Q2 Allen 10. PYQ MCQ
A bullet is fired from a gun at the speed of $280 \, ms^{-1}$ in the direction $30^{\circ}$ above the horizontal. The maximum height attained by the bullet is $(g = 9.8 \, \text{ms}^{-2}, \sin 30^{\circ} = 0.5)$ :-
A.
2000 m
B.
1000 m
C.
3000 m
D.
2800 m
Q3 Allen 1. DISTANCE & DISPLACEMENT MCQ
If displacement of a particle is zero, the distance covered:
A.
must be zero
B.
may or may not be zero
C.
cannot be zero
D.
depends upon the particle
Q4 Allen 1. DISTANCE & DISPLACEMENT MCQ
If the distance covered is zero, the displacement:
A.
must be zero
B.
may or may not be zero
C.
cannot be zero
D.
depends upon the particle
Q5 Allen 1. DISTANCE & DISPLACEMENT MCQ
The location of a particle is changed. What can we say about the displacement and distance covered by the particle:
A.
Both cannot be zero
B.
One of the two may be zero
C.
Both must be zero
D.
If one is positive, the other is negative and vice-versa
Q6 Allen 1. DISTANCE & DISPLACEMENT MCQ
The numerical ratio of distance to the displacement covered is always :-
A.
less than one
B.
equal to one
C.
equal to or less than one
D.
equal to or greater than one
Q7 Allen 1. DISTANCE & DISPLACEMENT MCQ
Milkha Singh can cover one round of a circular park in 40 second, After 1 minute and 40 second, he will cover a distance and displacement respectively (R = Radius of circle):-
A.
Zero, Zero
B.
$4\pi \mathrm{R}$ , R
C.
$5\pi \mathrm{R}$ , 2R
D.
$6\pi \mathrm{R}$ , 2R
Q8 Allen 1. DISTANCE & DISPLACEMENT MCQ
A hall has the dimensions $10 \, m \times 10 \, m \times 10 \, m$ . A fly starting at one corner ends up at a diagonally opposite corner. The magnitude of its displacement is nearly
A.
$5\sqrt{3} \, m$
B.
$10\sqrt{3} \, m$
C.
$20\sqrt{3} \, m$
D.
$30\sqrt{3} \, m$
Q9 Allen 1. DISTANCE & DISPLACEMENT MCQ
An ant is scramping on the stairs as shown in the figure. There are '4' stairs and each stair has width of 12 cm and height of 5 cm. The distance travelled by the ant to scramp the stairs is :-
A.
$52\mathrm{cm}$
B.
$68\mathrm{cm}$
C.
$48\mathrm{cm}$
D.
$20\mathrm{cm}$
Q10 Allen 1. DISTANCE & DISPLACEMENT MCQ
An insect starts climbing a conical birthday hat of radius 5 cm at base. It starts from point A and reaches point B, taking spiral path on the hat. Find out its displacement if height is 12 cm:-
A.
$12\mathrm{cm}$
B.
$8\mathrm{cm}$
C.
$13\mathrm{cm}$
D.
$25\mathrm{cm}$
Q11 Allen 1. DISTANCE & DISPLACEMENT MCQ
Three particles P, Q and R are situated at point A on the circular path of radius 10 m. All three particles move along different paths and reach point B as shown in figure. Then the ratio of distance traversed by particles P and R is :
A.
$\frac{3}{4}$
B.
$\frac{3}{1}$
C.
$\frac{3\pi}{4}$
D.
$\frac{\pi}{3}$
Q12 Allen 1. DISTANCE & DISPLACEMENT MCQ
A body moves along the curved path of a semi circle. Calculate the ratio of distance to displacement:
A.
11:7
B.
7:11
C.
$11:\sqrt{2} \times 7$
D.
$7:11\sqrt{2}$
Q13 Allen 1. DISTANCE & DISPLACEMENT MCQ
Distance travelled by the tip of minute hand of length 10 cm in 100 sec is
A.
$\frac{\pi}{180}$ m
B.
$\frac{\pi}{360}$ m
C.
$\frac{\pi}{1200}$ m
D.
$\frac{3\pi}{2160}$ m
Q14 Allen 1. DISTANCE & DISPLACEMENT MCQ
If a particle moves from point P(2, 3, 5) to point Q(3, 4, 5). Its displacement vector be :-
A.
$\hat{\mathbf{i}} + \hat{\mathbf{j}} + 10\hat{\mathbf{k}}$
B.
$\hat{\mathbf{i}} + \hat{\mathbf{j}} + 5\hat{\mathbf{k}}$
C.
$\hat{\mathbf{i}} + \hat{\mathbf{j}}$
D.
$2\hat{\mathbf{i}} + 4\hat{\mathbf{j}} + 6\hat{\mathbf{k}}$
Q15 Allen 1. DISTANCE & DISPLACEMENT MCQ
A man walks 30 m towards north, then 20 m towards east and the last $30\sqrt{2}$ m towards south-east. The displacement from origin is:
A.
10 m towards west
B.
50 m towards east
C.
$60\sqrt{2}$ m towards north west
D.
$60\sqrt{2}$ m towards east north
Q16 Allen 1. DISTANCE & DISPLACEMENT MCQ
A person walks 80 m east, then turns right through angle $143^{\circ}$ walks further 50 m and stops. His position relative to the starting point is
A.
50 m, $53^{\circ}$ east of south
B.
50 m, $53^{\circ}$ south of east
C.
30 m, $37^{\circ}$ south of east
D.
30 m, $53^{\circ}$ south of east
Q17 Allen 1. DISTANCE & DISPLACEMENT MCQ
A drunkard is walking along a straight road. He takes 5 steps forward and 3 steps backward, followed by 5 steps forward and 3 steps backward and so on. Each step is one meter long and takes one second. There is a pit on the road 13 meters away from the starting point. The drunkard will fall into the pit after:
A.
29 s
B.
21 s
C.
37s
D.
31 s
Q18 Allen 2. SPEED & VELOCITY, AVERAGE SPEED & AVERAGE VELOCITY MCQ
A train covers the first half of the distance between two stations with a speed of 30 km/h and the other half with 70 km/h. Then its average speed is:
A.
50 km/h
B.
48 km/h
C.
42 km/h
D.
100 km/h
Q19 Allen 2. SPEED & VELOCITY, AVERAGE SPEED & AVERAGE VELOCITY MCQ
Select the correct statements from the following. S1. Average velocity is path length divided by time interval. S2. In general, average speed ā‰„ |average velocity| S3. A particle moving in a given direction with a non-zero velocity can have zero speed. S4. The magnitude of average velocity is the average speed.
A.
Sā‚
B.
Sā‚‚
C.
Sā‚ƒ
D.
Sā‚„
Q20 Allen 2. SPEED & VELOCITY, AVERAGE SPEED & AVERAGE VELOCITY MCQ
The magnitude of average velocity is equal to the average speed when a particle moves :
A.
on a curved path
B.
in the same direction
C.
with constant acceleration
D.
with constant retardation
Q21 Allen 2. SPEED & VELOCITY, AVERAGE SPEED & AVERAGE VELOCITY MCQ
A man walks for some time 't' with velocity (v) due east. Then he walks for same time 't' with velocity (v) due north. The average speed of the man is:
A.
2v
B.
$\sqrt{2}$ v
C.
v
D.
$\frac{v}{\sqrt{2}}$
Q22 Allen 2. SPEED & VELOCITY, AVERAGE SPEED & AVERAGE VELOCITY MCQ
A car travels a distance $d$ on a straight road in two hours and then returns to the starting point in next three hours. Its average speed and average velocity is:
A.
$\frac{d}{5}, 0$
B.
$\frac{2d}{5}, 0$
C.
$\frac{5d}{6}, \frac{d}{5}$
D.
none of these
Q23 Allen 2. SPEED & VELOCITY, AVERAGE SPEED & AVERAGE VELOCITY MCQ
A particle moves in the east direction with 15 m/sec for 2 sec then northwards with 5 m/s for 8 sec. Average velocity of the particle is:-
A.
1 m/s
B.
5 m/s
C.
7 m/s
D.
10 m/s
Q24 Allen 2. SPEED & VELOCITY, AVERAGE SPEED & AVERAGE VELOCITY MCQ
A man walks on an equilateral triangle along path ABC with constant speed then the ratio of average speed and magnitude of average velocity for A to C :-
A.
1
B.
2
C.
$\frac{1}{2}$
D.
None
Q25 Allen 2. SPEED & VELOCITY, AVERAGE SPEED & AVERAGE VELOCITY MCQ
A car runs at constant speed on a circular track of radius 10 m taking 6.28s on each lap (i.e. round). The average speed and average velocity for half lap is :
A.
Velocity $20/\pi$ m/s, speed 10 m/s
B.
Velocity zero, speed 10 m/s
C.
Velocity zero, speed zero
D.
Velocity 10 m/s, speed zero