NEET-2022
Question 1. A cricket ball is thrown by a player at a speed of `20 m/s` in a direction `30^o` above the horizontal. The maximum height attained by the ball during its motion is
`(g=10m/s^2)`
(a) `25m`
(b) `5m`
(c) `10m`
(d) `20m`
Answer (b)
Question 2. A ball is projected with a velocity, `10 ms^-1`, at an angle of `60^o` with the vertical direction. Its speed at the highest point of its trajectory will be
(a) Zero
(b) `5\sqrt{3}ms^-1`
(c) `5 ms^-1`
(d) `10ms^-1`
Answer (b)
NEET-2021
Question 3. A particle moving in a circle of radius R with a uniform speed takes a time T to complete one revolution.
If this particle were projected with the same speed at an angle `'\theta'` to the horizontal, the maximum height attained by it equals 4R. The angle of projection, `\theta`, is then given by :
(a) `\theta=sin^-1({2gT^2}/{\pi^2R})^{1/2}`
(b) `\theta=cos^-1({gT^2}/{\pi^2R})^{1/2}`
(c) `\theta=cos^-1({\pi^2R}/{gT^2})^{1/2}`
(d) `\theta=sin^-1({\pi^2R}/{gT^2})^{1/2}`
Answer (a)
Question 4. A car starts from rest and accelerates at `5m/s^2`. At `t = 4 s`, a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at `t = 6 s`? (Take `g = 10 m/s^2`)
(a) `20\sqrt{2}m/s, 10m/s^2`
(b) `20m/s, 5m/s^2`
(c) `20m/s, 0m/s^2`
(d) `20\sqrt{2}m/s, 0m/s^2`
Answer (a)
NEET2019
Question 5. When an object is shot from the bottom of a long smooth inclined plane kept at an angle `60^o` with horizontal, it can travel a distance `x_1` along the plane. But when the inclination is decreased to `30^o` and the same object is shot with the same velocity, it can travel `x_2` distance. Then `x_1 : x_2` will be :
(a) `1:\sqrt{2}`
(b) `\sqrt{2}:1`
(c) `1:\sqrt{3}`
(d) `1:2\sqrt{3}`
Answer (c)
Question 6. A particle moving with velocity `\vec{V}` is acted by three forces shown by the vector triangle PQR. The velocity of the particle will :
(a) remain constant
(b) increase
(c) decrease
(d) change according to the smallest force `\vec{QR}`
Answer (a)
NEET-2017
Question 7. The `x` and `y` coordinates of the particle at any time are `x = 5t-2t^2` and `y = 10t` respectively, where `x` and `y` are in metres and `t` in seconds. The acceleration of the particle at `t = 2 s` is
(a) `5ms^-2`
(b) `-4ms^-2`
(c) `-8ms^-2`
(d) `0`
Answer (b)
NEET-2016
Question 8. In the given figure, `a = 15 m s^-2` represents the total acceleration of particle moving in the clockwise direction in a circle of radius `R = 2.5 m` at a given instant of time. The speed of the particle is
(a) `4.5ms^-1`
(b) `5.0ms^-1`
(c) `5.7ms^-1`
(d) `6.2ms^-1`
Answer (c)
Question 9. If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is
(a) `45^o`
(b) `180^o`
(c) `0^o`
(d) `90^o`
Answer (d)
Question 10. A particle moves so that its position vector is given by `\vec{r}=cos\omegat\hat{x}+sin\omegat\hat{y}` where `\omega` is a constant.
Which of the following is true?
(a) Velocity is perpendicular to `\vec{r}` and acceleration is directed towards the origin.
(b) Velocity is perpendicular to `\vec{r}` and acceleration is directed away from the origin.
(c) Velocity and acceleration both are perpendicular to `\vec{r}`
(d) Velocity and acceleration both are parallel to `\vec{r}`
Answer (a)
NEET-2015
Question 11. If vectors `\vec{A}=cos\omegat\hat{i}+sin\omegat\hat{j}` and `\vec{B}=cos \omegat/2\hat{i}+sin \omegat/2\hat{j}` are functions of time, then the value of t at which they are orthogonal to each other is
(a) `t={\pi}/{\omega}`
(b) `t=0`
(c) `t={\pi}/{4\omega}`
(d) `t={\pi}/{2\omega}`
Answer (a)
Question 12. The positions vector of a particle `\vec{R}` as a function of time is given by `\vec{R} = 4sin(2\pit)\hat{i}+ 4cos(2\pit)\hat{j}`. Where `R` is in meters, `t` is in seconds and `\hat{i}` and `\hat{j}` denote unit vectors along `x`-and `y`-directions, respectively. Which one of the following statements is wrong for the motion of particle?
(a) Magnitude of the velocity of particle is `8` meter/second.
(b) Path of the particle is a circle of radius `4` meter.
(c) Acceleration vector is along `-\vec{R}.`
(d) Magnitude of acceleration vector is `v^2/R` where `v` is the velocity of particle.
Answer (a)
Question 13. A ship `A` is moving Westwards with a speed of `10 km h^-1` and a ship `B` is `100 km` South of `A`, is moving Northwards with a speed of `10 km h^-1`. The time after which the distance between them becomes shortest, is
(a) `5\sqrt{2}h`
(b) `10\sqrt{2}h`
(c) `0h`
(d) `5h`
Answer (d)
NEET-2014
Question 14. A projectile is fired from the surface of the earth with a velocity of `5 m s^-1` and angle `\theta` with the horizontal. Another projectile fired from another planet with a velocity of `3 m s^-1` at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is (in `m s^-2`) is
(Given `g = 9.8 m s^-2`)
(a) `3.5`
(b) `5.9`
(c) `16.3`
(d) `110.8`
Answer (a)
Question 15. A particle is moving such that is position coordinates `(x, y)` are `(2 m, 3 m)` at time `t = 0, (6 m, 7 m)` at time `t = 2 s` and `(13 m, 14 m)` at time `t = 5 s.`
Average velocity vector `(\vec{v}_{av})` from `t = 0` to `t = 5 s` is
(a) `1/5(13\hat{i}+14\hat{j})`
(b) `7/3(\hat{i}+\hat{j})`
(c) `2(\hat{i}+\hat{j})`
(d) `{11}/5(\hat{i}+\hat{j})`
Answer (d)
NEET-2013
Question 16. Vectors `\vec{A}, \vec{B}` and `\vec{C}` are such that `\vec{A}.\vec{B}=0` and `\vec{A}.\vec{C}=0`. Then the vector parallel to `\vec{A}` is
(a) `\vec{A}\times\vec{B}`
(b) `\vec{B}+\vec{C}`
(c) `\vec{B}\times\vec{C}`
(d) `\vec{B}` and `\vec{C}`
Answer (c)
Question 17. The velocity of a projectile at the initial point A is `(2\hat{i}+3\hat{j}) m/s`. It's velocity (in `m/s`) at point B is
(a) `2\hat{i}-3\hat{j}`
(b) `2\hat{i}+3\hat{j}`
(c) `-2\hat{i}-3\hat{j}`
(d) `-2\hat{i}+3\hat{j}`
Answer (a)
NEET-2012
Question 18. The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is
(a) `\theta=tan^-1(1/4)`
(b) `\theta=tan^-1(4)`
(c) `\theta=tan^-1(2)`
(d) `\theta=45^o`
Answer (b)
(a) `9\sqrt{2}`
(b) `5\sqrt{2}`
(c) `5` units
(d) `9` units
Answer (b)
NEET-2011
Question 20. A projectile is fired at an angle of `45^o` with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection, is
(a) `45^o`
(b) `60^o`
(c) `tan^-1(1/2)`
(d) `tan^-1(\sqrt{3}/2)`
Answer (c)
Question 21. A particle moves in a circle of radius `5 cm` with constant speed and time period `0.2\pis`. The acceleration of the particle is
(a) `15m/s^2`
(b) `25m/s^2`
(c) `36m/s^2`
(d) `5m/s^2`
Answer (d)
Question 22. A missile is fired for maximum range with an initial velocity of `20 m/s`. If `g = 10 m/s^2`, the range of the missile is
(a) `40m`
(b) `50m`
(c) `60m`
(d) `20m`
Answer (a)
Question 23. A body is moving with velocity `30 m/s` towards east . After `10` seconds its velocity becomes `40 m/s` towards north. The average acceleration of the body is
(a) `1m/s^2`
(b) `7m/s^2`
(c) `\sqrt{7}m/s^2`
(d) `5m/s^2`
Answer (d)
NEET-2010
Question 24. A particle moves in `x-y` plane according to rule `x = asin\omegat` and `y = acos\omegat.` The particle follows
(a) an elliptical path
(b) a circular path
(c) a parabolic path
(d) a straight line path inclined equally to x and y-axes
Answer (b)
Question 25. The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is
(a) `60^o`
(b) `15^o`
(c) `30^o`
(d) `45^o`
Answer (a)
Question 26. A particle has initial velocity `(3\hat{i}+4\hat{j})` and has acceleration `(0.4\hat(i)+0.3\hat{j})`. Its speed after `10 s` is
(a) `7` units
(b) `7\sqrt{2}` units
(c) `8.5` units
(d) `10` units
Answer (b)
Question 27. Six vectors, `\vec{a}` through `\vec{f}` have the magnitudes and directions indicated in the figure. Which of the following statements is true ?
(a) `\vec{b}+\vec{c}=\vec{f}`
(b) `\vec{d}+\vec{c}=\vec{f}`
(c) `\vec{d}+\vec{e}=\vec{f}`
(d) `\vec{b}+\vec{e}=\vec{f}`
Answer (c)
NEET-2008
Question 28. A particle of mass m is projected with velocity v making an angle of `45^o` with the horizontal. When the particle lands on the level ground the magnitude of the change in its momentum will be
(a) `mv\sqrt{2}`
(b) zero
(c) `2mv`
(d) `{mv}/\sqrt{2}`
Answer (a)
Question 29. A particle shows distance - time curve as given in this figure. The maximum instaneous velocity of the particle is around the point
(a) D
(b) A
(c) B
(d) C
answer (d)
NEET-2007
Question 30. A particle starting from the origin `(0, 0)` moves in a straight line in the `(x, y)` planes. Its coordinates at a later time are `(\sqrt{3},3)`. The path of the particle makes with the x-axes an angle of
(a) `45^o`
(b) `60^o`
(c) `0^o`
(d) `30^o`
Answer (b)
Question 31. `\vec{A}` and `\vec{B}` are two vectors and `\theta` is the angle between them, if `|\vec{A}\times\vec{B}|=\sqrt{3}(\vec{A}.\vec{B})`, the value of `\theta` is
(a) `45^o`
(b) `30^o`
(c) `90^o`
(d) `60^o`
Answer (d)
NEET-2006
Question 32. For angles of projection of a projectile at angle `(45^o- \theta)` and `(45^o + \theta)`, the horizontal range described by the projectile are in the ratio of
(a) `2:1`
(b) `1:1`
(c) `2:3`
(d) `1:2`
Answer (b)
Question 33. The vectors `\vec{A}` and `\vec{B}` are such that `|\vec{A}+\vec{B}|=|\vec{A}-\vec{B}|`. The angle between the two vectors is
(a) `45^o`
(b) `90^o`
(c) `60^o`
(d) `75^o`
Answer (b)
NEET-2005
Question 34. Two boys are standing at the ends `A` and `B` of a ground where `AB = a`. The boy at `B` starts running in a direction perpendicular to `AB` with velocity `v_1`. The boy at `A` starts running simultaneously with velocity `v` and catches the other in a time `t`, where t is
(a) `a/{\sqrt{v^2+v_1^2}}`
(b) `a/{v-v_1}`
(c) `a/{v-v_1}`
(d) `\sqrt{a/{v^2-v_1^2}}`
Answer (d)
Question 35. If the angle between the vectors `\vec{A}` and `\vec{B}` is `\theta`, the value of the product `(\vec{A}\times\vec{B}).\vec{A}` is equal to
(a) `BA^2sin\theta`
(b) `BA^2cos\theta`
(c) `BA^2sin\theta.cos\theta`
(d) zero
Answer (d)
Question 36. If a vector `2\hat{i}+3\hat{j}+8\hat{k}` is perpendicular to the vector `4\hat{j}+4\hat{i}+\alpha\hat{k}` then the value of `\alpha` is
(a) `1/2`
(b) `-1/2`
(c) `1`
(d) `-1`
Answer (b)
NEET-2004
Question 37. If `|\vec{A}\times\vec{B}|=\sqrt{3}\vec{A}.\vec{B}` then the value of `|\vec{A}+\vec{B}|` is
(a) `(A^2+b^2+AB)^{1/2}`
(b) `(A^2+B^2+{AB}/\sqrt{3})^{1/2}`
(c) `A+B`
(d) `(A^2+B^2+AB\sqrt{3})^{1/2}`
Answer (a)
NEET-2003
Question 38. The vector sum of two forces is perpendicular to their vector differences. In that case, the forces
(a) are equal to each other
(b) are equal to each other in magnitude
(c) are not equal to each other in magnitude
(d) cannot be predicted.
Answer (b)
Question 39. A particle moves along a circle of radius `({20}/\pi) m` with constants tangential acceleration. If the velocity of vthe particle is 80 m/s at the end of the second revoluation after motion has begun, the tangential acceleration is
(a) `40m/s^2`
(b) `640\pim/s^2`
(c) `160\pim/s^2`
(d) `40\pim/s^2`
Answer (a)
NEET-2002
Question 40. An object of mass `3 kg` is at rest. Now a force of `\vec{F}= 6t^2\hat{i} + 4t\hat{j}` is applied on the object then velocity of object at `t = 3 sec.` is
(a) `18\hat{i}+3\hat{j}`
(b) `18\hat{i}+6\hat{j}`
(c) `3\hat{i}+18\hat{j}`
(d) `18\hat{i}+4\hat{j}`
Answer (b)
Question 41. A particle A is dropped from a height and another particle B is projected in horizontal direction with speed of `5 m/sec` from the same height then correct statement is
(a) particle A will reach at ground first with respect to particle B
(b) particle B will reach at ground first with respect to particle A
(c) both particles will reach at ground simultaneously
(d) both particles will reach at ground with same speed.
Answer (c)
NEET-2001
Question 43. If `|\vec{A}+\vec{B}|=|\vec{A}|+|\vec{B}|` then angle between A and B will be
(a) `90^o`
(b) `120^o`
(c) `0^o`
(d) `60^o`
Answer (c)
Question 44. Two particles having mass M and m are moving in a circular path having radius `R` and `r`. If their time period are same then the ratio of angular velocity will be
(a) `r/R`
(b) `R/r`
(c) `1`
(d) `\sqrt{R/r}`
Answer (c)
NEET-2000
Question 45. Two projectiles of same mass and with same velocity are thrown at an angle `60^o` and `30^o` with the horizontal, then which will remain same
(a) time of flight
(b) range of projectile
(c) maximum height acquired
(d) all of them.
Question 46. The width of river is `1 km`. The velocity of boat is `5 {km}/{hr}`. The boat covered the width of river in shortest time `15 min`. Then the velocity of river stream is
(a) `3{km}/h`
(b) `4{km}/h`
(c) `\sqrt{29}{km}/h`
(d) `\sqrt{41}{km}/h`
Answer (a)
Question 47. A man is slipping on a frictionless inclined plane and a bag falls down from the same height. Then the velocity of both is related as
(a) `v_B>v_m`
(b)`v_B<v_m`
(c) `v_B=v_m`
(d) `v_B` and `v_m` can't be related
Answer (c)
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