← Back to Physics-I

Kinematics-1D

700 Questions Start Allen Test
All Exams Allen Objective Errorless
CPMT 1997; AIIMS 2000; MH CET 2000; CBSE PMT 2002; MP PET 2003 Q251 Errorless Motion Under Gravity MCQ
With what velocity a ball be projected vertically so that the distance covered by it in $5^{\text{th}}$ second is twice the distance it covers in its $6^{\text{th}}$ second ( $g = 10\,m/s^{2}$ )
A.
58.8 m/s
B.
49 m/s
C.
65 m/s
D.
19.6 m/s
CPMT 1997; UPSEAT 2002; KCET 2002 Q252 Errorless Critical Thinking MCQ
A stone dropped from a building of height h and it reaches after t seconds on earth. From the same building if two stones are thrown (one upwards and other downwards) with the same velocity u and they reach the earth surface after $t_{1}$ and $t_{2}$ seconds respectively, then
A.
$t = t_{1} - t_{2}$
B.
$t = \frac{t_{1} + t_{2}}{2}$
C.
$t = \sqrt{t_{1}t_{2}}$
D.
$t = t_{1}^{2}t_{2}^{2}$
RPET 1996, 99; BHU 2002; MP PET 2009 Q253 Errorless Uniform Motion MCQ
A person travels along a straight road for the first half time with a velocity $v_{1}$ and the next half time with a velocity $v_{2}$ . The mean velocity V of the man is
A.
$\frac{2}{V} = \frac{1}{v_{1}} + \frac{1}{v_{2}}$
B.
$V = \frac{v_{1} + v_{2}}{2}$
C.
$V = \sqrt{v_{1}v_{2}}$
D.
$V = \sqrt{\frac{v_{1}}{v_{2}}}$
MP PMT 1996; CBSE PMT 2008 Q254 Errorless Non-uniform Motion MCQ
The distance travelled by a particle starting from rest and moving with an acceleration $\frac{4}{3} ms^{-2}$ , in the third second is
A.
$\frac{10}{3} m$
B.
$\frac{19}{3} m$
C.
$6m$
D.
$4m$
MP PET 1996; CPMT 1999, 2003; Pb. PET 2004; J & K CET 2005; RPMT 2006; WB-JEE 2008; AMU (Engg.) 2012 Q255 Errorless Non-uniform Motion MCQ
The displacement of a particle is given by $y = a + bt + ct^{2} - dt^{4}$ . The initial velocity and acceleration are respectively
A.
b, -4d
B.
-b, 2c
C.
b, 2c
D.
2c, -4d
CPMT 1996; BHU 1998; CPMT 1999; JIPMER 2000; AMU (Med.) 2001; RPET 2001, 05; Kerala PET 2002; Kerala PMT 2008 Q256 Errorless Relative Motion MCQ
Two trains, each 50 m long are travelling in opposite direction with velocity 10 m/s and 15 m/s. The time of crossing is
A.
2s
B.
4s
C.
$2\sqrt{3}s$
D.
$4\sqrt{3}s$
Kurukshetra CEE 1996; Kerala PMT 2006 Q257 Errorless Critical Thinking MCQ
A particle is dropped vertically from rest from a height. The time taken by it to fall through successive distances of 1 m each will then be
A.
All equal, being equal to $\sqrt{2/g}$ second
B.
In the ratio of the square roots of the integers 1, 2, 3......
C.
In the ratio of the difference in the square roots of the integers i.e. $\sqrt{1}, (\sqrt{2} - \sqrt{1}), (\sqrt{3} - \sqrt{2}), (\sqrt{4} - \sqrt{3})$ ....
D.
In the ratio of the reciprocal of the square roots of the integers i.e., $\frac{1}{\sqrt{1}}, \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{4}}$
Kurukshetra CEE 1996; DCE 2006 Q258 Errorless Graphical Questions MCQ
Figures (i) and (ii) below show the displacement-time graphs of two particles moving along the x-axis. We can say that
(i)

(ii)
A.
Both the particles are having a uniformly accelerated motion
B.
Both the particles are having a uniformly retarded motion
C.
Particle (i) is having a uniformly accelerated motion while particle (ii) is having a uniformly retarded motion
D.
Particle (i) is having a uniformly retarded motion while particle (ii) is having a uniformly accelerated motion
Manipal MEE 1995; AFMC 1998; MP PMT 1999; CPMT 2002; Kerala PMT 2005, 10 Q259 Errorless Uniform Motion MCQ
A car travels half the distance with constant velocity of 40 kmph and the remaining half with a constant velocity of 60 kmph. The average velocity of the car in kmph is
A.
40
B.
45
C.
48
D.
50
EAMCET (Engg.) 1995; CBSE PMT 2000; Kerala PET 2010 Q260 Errorless Non-uniform Motion MCQ
Equation of displacement for any particle is $s = 3t^{3} + 7t^{2} + 14t + 8m$ . Its acceleration at time t = 1 sec is
A.
$10 \, m/s^{2}$
B.
$16 \, m/s^{2}$
C.
$25 \, m/s^{2}$
D.
$32 \, m/s^{2}$
CBSE PMT 1995; MP PMT 2004 Q261 Errorless Motion Under Gravity MCQ
A body is released from the top of a tower of height h. It takes t sec to reach the ground. Where will be the ball after time t/2 sec
A.
At h/2 from the ground
B.
At h/4 from the ground
C.
Depends upon mass and volume of the body
D.
At 3h/4 from the ground
EAMCET (Med.) 1995; AIIMS 1999; Pb. PMT 2004; BHU 2004 Q262 Errorless Graphical Questions MCQ
Velocity-time curve for a body projected vertically upwards is
A.
Parabola
B.
Ellipse
C.
Hyperbola
D.
Straight line
Q263 Allen 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
Q264 Allen 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
Q265 Allen 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
Q266 Allen 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
Q267 Allen 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
Q268 Allen 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.
$30\sqrt{3} \, m$
Q269 Allen 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.
$20\mathrm{cm}$
Q270 Allen 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.
$25\mathrm{cm}$
Q271 Allen 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.
$\frac{\pi}{3}$
Q272 Allen 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.
$7:11\sqrt{2}$
Q273 Allen 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
Q274 Allen 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.
$2\hat{\mathbf{i}} + 4\hat{\mathbf{j}} + 6\hat{\mathbf{k}}$
Q275 Allen 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