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Class 11
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Physics
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Motion in a Straight Line
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Hard Questions
Motion In A Straight Line
Physics
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A particle moves with a non zero initial velocity
$v_{0}$
and retardation
$kv$
, where
$v$
is the velocity at any time
$t$
.
A
The particle will cover a total distance
$kv_{0} $
B
The particle comes to rest at
$t=k1 $
C
Particle continues to move for long time
D
at time
$α1 ,v=2v_{0} $
Hard
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A body of mass m is dropped from a height of h. Simultaneously another body of mass 2m is thrown up vertically with such a velocity v that they collide at height
$2h $
. If the collision is perfectly inelastic, the velocity of combined mass at the time of collision with the ground will be-
A
$45gh $
B
$gh $
C
$4gh $
D
None of these
Hard
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A particle is projected with a velocity
$u$
in horizontal direction as shown in the figure. Find
$u$
(approx.) so that the particle collides orthogonally with the inclined plane of the fixed wedge.
A
$10m/s$
B
$20m/s$
C
$102 m/s$
D
None of these
Hard
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A ball is thrown vertically upwards at time
$t=0$
. Air resistance is not negligible and the acceleration of free fall is
$g$
. The ball reaches a maximum height at time
$t=T$
and the descends, reaching terminal speed. Which graph best shows the variation with time
$t$
with magnitude of the acceleration
$a$
of the ball?
A
B
C
D
Hard
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STATEMENT-1: For an observer looking out through the window of a fast moving train, the nearby objects appear to move in the
opposite direction to the train, while the distant objects appear to be stationary.
STATEMENT-2:
If the observer and the object are moving at velocities
$V_{1}$
and
$V_{2}$
respectively with reference to a laboratory frame, the velocity of the object with respect to the observer is
$V_{2}−V_{1}$
.
A
STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
B
STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
C
STATEMENT -1 is True, STATEMENT-2 is False
D
STATEMENT -1 is False, STATEMENT-2 is True
Hard
JEE Advanced
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>
The displacement of a particle moving in a straight line is given by
$x=16t−2t_{2}$
(where,
$x$
is in meters and
$t$
is in second). The distance traveled by the particle in
$8$
seconds [starting from
$t$
$=$
0] is
A
$24m$
B
$40m$
C
$64m$
D
$80m$
Hard
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>
A train of length
$l=350m$
starts moving rectilinearly with constant acceleration
$ω=3.0⋅10_{−2}m/s_{2}$
;
$t=30s$
after the start the locomotive headlight is switched on (event 1), and
$τ=60s$
after that event the tail signal light is switched on (event 2) . At what constant velocity
$V$
(in m/s) relative to the Earth must a certain reference frame
$K$
move for the two events to occur in it at the same point? (round off your answer to the nearest integer)
Hard
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A ball is thrown vertically upwards (relative to the train) in a compartment of a moving train. The face of the person sitting inside the compartment is towards engine of the train.
A
The ball will maintain the same horizontal velocity as that of the person (or the compartment) at the time of throwing.
B
If the train is accelerating then the horizontal velocity of the ball will be different from that of the train velocity, at the time of throwing.
C
If the ball appears to be moving backward to the person sitting in the compartment it means that speed of the train is increasing.
D
If the ball appears to be moving ahead of the person sitting in the compartment it means the train's motion is retarding.
Hard
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Using the table given below where the values of velocity at the end of t seconds for a body under linear motion are given
$V(ms_{−1})$
0
6
12
24
30
36
42
$t(s)$
0
2
4
8
10
12
14
What can be concluded about the motion of the body?
A
It moves with uniform speed.
B
It moves with uniform motion
C
It moves with uniform velocity
D
It moves with uniform acceleration
Hard
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A circus girl throws three rings upwards one after the other at equal intervals of half a second. She catches the first ring half second after the third was thrown. Then,
(
$g=$
acceleration due to gravity)
A
the velocity of projection of rings is
$43g $
B
the maximum height attained by rings is
$32g $
C
when the first ring returns to her hand, the second ring was coming downwards and it is on the height of
$4g $
(from the ground).
D
when the first ring returns to her hand, the third ring was going up and has travelled a distance of
$4g $
(from the ground).
Hard
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