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Jee Main Advanced Physics Chapter Wise Mock Test
Motion In A Plane
Quiz 1
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Q.1
A hunter aims his guns and fires a bullet directly at a monkey on a tree.At the instant bullet leaves the gun,the monkey drops. The bullet
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Misses to hit the monkey
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Hits the monkey
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cannot be said
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None of these
Q.2
what is wrong for a body having uniform circular motion?
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Speed of the body is constant
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Acceleration is directed towards the center
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Velocity and Acceleration vector are having an angle 45°
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none of the above
Q.3
which of the following is not a projectile motion
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A football thrown at an angle
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A bomb falling from the aircraft
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A parachutar falling from aero-plane
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None of these
Q.4
A football is kicked into the air at an angle of 30 ° with the horizontal. At the very top of the ball's path, its velocity is
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entirely horizontal
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both vertical and horizontal
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not enough information given to know.
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entirely vertical
Q.5
Which of the following is correct expression for Projectile?
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Range $R= \frac {2u_xu_y}{g}$
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Magnitude of velocity at height $h=\sqrt {u^2+2gh}$
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Time taken $T=\frac {2u_x}{g}$
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None of these
Q.6
The trajectory of a projectile in a vertical plane is given by $y=2x-4x^2$ where x and y are the horizontal and vertical distance Following statement are made about this motion STATEMENT A: The angle of projection is given by tan-12 STATEMENT B:The Range of the Projectile is .5 units
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A and B both are correct
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Only A is correct
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Only B is correct
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Both A and B are wrong
Q.7
Four statement are made about the projectile motion STATEMENT -1: Horizontal velocity remains same through out the motion STATEMENT -2: The trajectory is a parabola STATEMENT -3: Acceleration of the projectile is vertically upwards STATEMENT -4: Momentum remains constants through out the motion which one of the following is correct
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All the statement are correct
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Statement 1,2 and 4 are correct
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Statement 1,2 and 3 are correct
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Statement 2,3 and 4 are correct
Q.8
Which of the following statements are true?
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The time that a projectile is in the air is dependent upon the vertical component of the initial velocity.
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The vertical acceleration of a projectile is 0 m/s when it is at the peak of its trajectory.
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Horizontal velocity changes in the projectile motion
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none of the above
Q.9
which of the following is incorrect expression for three dimensional motion?
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$\mathbf{a}=\frac {d\mathbf{v}}{dt}=\frac {d^2x}{dt^2}\mathbf{i}+\frac {d^2y}{dt^2}\mathbf{j}+\frac {d^2z}{dt^2}\mathbf{k}$
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$\mathbf{a}=\mathbf{v} \frac {d\mathbf{v}}{d\mathbf{r}}$
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$\mathbf{v}=\frac {d\mathbf{r}}{dt}=\frac {dx}{dt}\mathbf{i} + \frac {dy}{dt}\mathbf{j}+\frac {dz}{dt}\mathbf{k}$
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None of these
Q.10
A ball is projected upward at a certain angle with the horizontal .which of the following statement is incorrect. At highest point
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velocity of the projectile is not zero
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acceleration of the projectile is zero
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velocity of the projectile is along the horizontal direction
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None of these
Q.11
Two bullets A and B are fired horizontally with speed $v$ and $2v$ respectively.which of the following is true
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Both will reach the ground in Same time
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Bullet with speed $2v$ will cover more horizontal distance on the ground
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B will reach the ground in less time then A
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A will reach the ground in less time then B
Q.12
A parachuter falls from an aero-plane moving with uniform horizontal velocity.Which of the following is false
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when he land on the surface,he will be just below the aero-plane
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A person sitting in the aeroplane will see the parachuter going vertically downward
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when he land on the surface,he would left behind the aeroplane
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none of these
Q.13
The two vectors X and Y are of same length 5 units each. What is the range for the length of addition of these two vectors?
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(0,10)
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(0,5)
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None of these
Q.14
which of these operations are valid in vectors
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Addition of two vector
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Addition of vector with scalar
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A vector quantity in the denominator of the expression
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None of these
Q.15
A and B are vector quantities .Which of these will not be vector quantity?
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A + B
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A-B
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A X B
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A.B
Q.16
Vector X and Y are given as X=i+j+k ,Y=i-j-k Which of these are not true?
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$X \times Y = 0$
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$X.Y=-1$
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$2X=2i+2j+2k$
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None of these
Q.17
Is vector i+j+k a unit vector?
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True
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False
Q.18
which is of these is not a vector quantity?
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Velocity
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Work
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Force
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Displacement
Q.19
Which is of these is correct?
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$A + B$
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$A - B= B -A$
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$A \times B=B \times A$
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None of these
Q.20
A and B are vector quantities .Which of these will be correct equation?
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$ \frac {d}{dt}( A.B) = A. \frac {dB}{dt} + \frac {dA}{dt} .B$
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$ \frac {d}{dt}( A \times B) = A \times \frac {dB}{dt} + \frac {dA}{dt} \times B$
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$A.A=|A|^2$
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All the above
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