InterviewSolution
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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A particle leaves the origin with initial velocity `vec(v)_(0)=11hat(i)+14 hat(j) m//s`. It undergoes a constant acceleration given by `vec(a)=-22/5 hat(i)+2/15 hat(j) m//s^(2)`. When does the particle cross the y-axis ?A. At angle `37^(@)` from +x-axis towards +y-axisB. At angle `37^(@)` from -x-axis towards +y-axisC. At angle `53^(@)` from +x axis towards +y-axisD. At angle `53^(@)` from -x-axis towards +y-axis |
| Answer» Correct Answer - D | |
| 2. |
A light body is projected with a velocity `(10hat(i)+20 hat(j)+20 hat(k)) ms^(-1)`. Wind blows along X-axis with an acceleration of `2.5 ms^(2)`. If Y-axis is vertical then the speed of particle after 2 second will be `(g=10 ms^(2))`A. `25 ms^(-1)`B. `10sqrt(5) ms^(-1)`C. `30 ms^(-1)`D. none of these |
| Answer» Correct Answer - A | |
| 3. |
Wind is blowing in the north direction at speed of 2 m/s which causes the rain to fall at some angle with the vertical. With what velocity should acyclist drive so that the rain appears vertical to him:A. 2 m/s southB. 2m/s northC. 4 m/s westD. 4m/s south |
| Answer» Correct Answer - B | |
| 4. |
An object moves to the East across a frictionless surface with constant speed. A person then applies a constant force to the North on the object. What is the resulting path that the object takes ?A. A straight line path partly Eastward, partly NorthwardB. A straight line path totally to the NorthC. A parabolic path opening toward the NorthD. A parabolic path opening toward the East |
| Answer» Correct Answer - C | |
| 5. |
An elevator car (lift) is moving upward with uniform acceleration of `2 m//s^(2)`. At the instant, when its velocity is 2 m/s upwards a ball thrown upward from its floor. The ball strikes back the floor 2s after its projection. Find the velocity of projection of the ball relative to the lift.A. `10 m//s uarr`B. `10 m//s darr`C. `12 m//s uarr`D. `12 m//s darr` |
| Answer» Correct Answer - C | |
| 6. |
A body A is thrown vertically upwards with such a velocity that it reaches a maximum height of h. Simultaneously, another body B is dropped from height h. It strikes the ground and does not rebound. The velocity of A relative to B versus time graph is best represented by (upward direction is positive).A. B. C. D. |
| Answer» Correct Answer - C | |
| 7. |
A large rectangular box moves vertically downward with an acceleration `a`. A toy gun fixed at `A` and aimed towards `C` fires a particle `P`. A. P will hit C if a = gB. P will hit the roof BC, if `a gt g`C. P will hit the wall CD if `a lt g`D. May be either (A), (B) or (C), depending on the speed of projection of P |
| Answer» Correct Answer - A::B | |
| 8. |
A `2-m` wide truck is moving with a uniform speed `v_(0)=8 ms^(-1)` along a straight horizontal road. `A` pedestrian starts to cross the road with a uniform speed `v` when the truck is `4 m` away from him, The minimum value of `v` so that he can cross the road safely is .A. `1.6sqrt()5` m/sB. `1.2 sqrt()5` m/sC. `1.2 sqrt()7` m/sD. `1.6sqrt()7` m/s |
| Answer» Correct Answer - A | |
| 9. |
The position vector of a particle is determined by the expression `vec r = 3t^2 hat i+ 4t^2 hat j + 7 hat k`. The displacement traversed in first `10` seconds is :A. 100 mB. 150 mC. 500 mD. 300 m |
| Answer» Correct Answer - C | |
| 10. |
A projectile of mass `1kg` is projected with a velocity of `sqrt(20)m//s` such that it strikes on the same level as the point of projection at a distance of `sqrt(3)m`. Which of the following options are incorrect:A. The maximum height reached by the projectile can be 0.25 m.B. The minimum velocity during its motion can be `sqrt()5` m/s.C. The time taken for the flight can be `sqrt(3//5) s`.D. Minimum kinetic energy during its motion can be 6 J. |
| Answer» Correct Answer - D | |
| 11. |
In the figure there is a long horizontal bridge over a river 75 m high from water surface. A strong man throws a stone in the parallel plane of the bridge. A observer in a car travelling on the bridge finds the stone going pass by the car while ascending and also while descending between two points on the road 30 m away. The car is travelling at a speed of 15 m/s. The stone is thrown from the bank of river just at the same level of water. What is the distance between car and atone at the instant when particle reaches at point B ?A. 0 mB. 75 mC. 120 mD. 240 m |
| Answer» Correct Answer - B | |
| 12. |
A particle is projected with a velocity 10 m//s at an angle `37^(@)` to the horizontal. Find the location at which the particle is at a height 1 m from point of projection. |
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Answer» Correct Answer - 1.6 m, 8 m. `y=x tan theta - (gx^(2))/(2u^(2) cos^(2) theta)` for `y=1, theta=37^(@), u=10 m//s` `1=3/4x - (10x^(2))/(2xx100xx((16),(25)))` `1=3/4x -5/64 x^(2)` `5x^(2)-48x+64 =0` `5x^(2)-40x-8x+64=0` `x=8m, 1.6 m` |
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| 13. |
A particle moves in the x-y plane. It x and y coordinates vary with time t according to equations `x=t^(2)+2t` and `y=2t`. Possible shape of path followed by the particle isA. Straight lineB. CircleC. ParabolaD. More information Is required to decide. |
| Answer» Correct Answer - C | |
| 14. |
Match the following A particle is projected from a large fixed incline plane as shown. Here (Vertically downward) take `g=10 m//s^(2)`. A. (II) (iv) (P)B. (IV) (ii) (S)C. (I) (ii) (R)D. (IV) (ii) (P) |
| Answer» Correct Answer - C | |
| 15. |
A particle moves in the xy plane and at time t is at the point `(t^(2), t^(3)-2t)`. Then :-A. At `t=2//3 s`, directions of velocity and acceleration are perpendicularB. At `t=0`, directions of velocity and acceleration are perpendicularC. At `t=sqrt(2//3)s`, particle is moving parallel to x-axisD. Acceleration of the particle when it is point (4, 4) is `(2hat(i)+12 hat(j)) m//s` |
| Answer» Correct Answer - A::B::C::D | |
| 16. |
Positions of two vechicles A and B with reference to origin O and their velocities are as shown. A. they will collideB. distance of closest approach is 100 m.C. their relative speed is `40/sqrt(3) m//s`D. their relative velocity is `20/sqrt(3) m//s` |
| Answer» Correct Answer - B::C | |
| 17. |
Two particle A and B projected along different directions from the same point P on the ground with the same velocity of 70 m/s in the same vertical plane. They hit the ground at the same point Q such that PQ = 480,. Then `[g=9.8 m//s^(2)]`A. Ratio of their times of flight is `4 : 5`B. Ratio of their maximum heights is `9 : 16`C. Ratio of their minimum speeds during flights is `4 : 3`D. The bisector of the angle between their directions of projection makes `45^(@)` with horizontal |
| Answer» Correct Answer - B::C::D | |
| 18. |
A particle moves in the x-y plane according to the law x=at, y=at `(1-alpha t)` where a and `alpha` are positive constants and t is time. Find the velocity and acceleration vector. The moment `t_(0)` at which the velocity vector forms angle of `90^(@)` with acceleration vector. |
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Answer» `V_(x)=a, V_(y)=a-2a alphat implies vec(V)=a hat(i)+(a-2a alphat) hat(j)` `a_(x)=0, a_(y)=-2a alpha implies vec(a)=-2 a alpha hat(j)` for `90^(@)," "vec(V).vec(a)=0` `2aalpha(a-2aalphat)=0` `1-2alphat=0 implies t = 1//(2 alpha)` sec. |
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| 19. |
A person can throw a ball vertically upto maximum height of 20 mt. How far can he throw the ball. |
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Answer» `H=u^(2)/(2g)` `:. u=20` m/s `R_(max)=u^(2)/g=40` m |
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| 20. |
Man A is sitting in a car moving with a speed of 54 `(km)/(hr)` observes a man B in front of the car crossing perpendicularly a road of width 15 m in three seconds. Then the velocity of man B (in `(m)/(s)`) will be:A. `5sqrt()10` towards the carB. `5sqrt()10` away from the carC. 5 m/s perpendicular to the roadD. None |
| Answer» Correct Answer - B | |
| 21. |
A man is crossing a river flowing with velocity of `5m//s`. He reaches a point directly across at a distance of 60m in 5 sec. His velocity in still water should be A. 12 m/sB. 13 m/sC. 5 m/sD. 10 m/s |
| Answer» Correct Answer - B | |
| 22. |
Time taken by the particle to reach from `A` to `B` is `t`. Then the distance `AB` is equal to A. `(u t)/sqrt(3)`B. `(sqrt(3)u t)/2`C. `sqrt(3) u t`D. `2 ut` |
| Answer» Correct Answer - A | |
| 23. |
A stone is projected from point `P` on the inclined plane with velocity `v_(0) = 10 m//sec` directed perpendicular to the plane. The time taken (in second) by the stone to strike the horizontal ground `S` is (Given `PO = l = 10`meter)(Take `g = 10m//s^(2)`) A. 1.5 sceB. 1.4 secC. 2 secD. 2.3 sec |
| Answer» Correct Answer - C | |
| 24. |
A particle is projected from the ground with velocity `u` at angle `theta` with horizontal. The horizontal range, maximum height and time of flight are `R,H` and `T` respectively. They are given by, `R = (u^(2)sin 2 theta)/(g),H = (u^(2)sin^(2)theta)/(2g)` and `T = (2usin theta)/(g)` Now keeping `u` as fixed, `theta` is varied from `30^(@)` to `60^(@)`. Then,A. R will first increase then decrease, H will increase and T will decreaseB. R will first increase then decrease while H and T both will increasesC. R will decrease while H and T both will increaseD. R will increase while H and T both will also increase |
| Answer» Correct Answer - B | |
| 25. |
A projectile is thrown with speed u into air from a point on the horizontal ground at an angle `theta` with horizontal. If the air exerts a constant horizontal resistive force on the projectile then select correct alternative(s).A. At the farthest point, the velocity is horizontal.B. The time for ascent equals the time for descent.C. The path of the projectile may be parabolic.D. The path of the projectile may be a straight line. |
| Answer» Correct Answer - B::C::D | |
| 26. |
A body throws a ball from shoulder height at an initial velocity of 30 m/s. Spending 4.8 s in air, the ball is caught by another boy as the same shoulder-height level. What is the angle of projection ?A. `37^(@)`B. `30^(@)`C. `53^(@)`D. `60^(@)` |
| Answer» Correct Answer - C | |
| 27. |
In the figure there is a long horizontal bridge over a river 75 m high from water surface. A strong man throws a stone in the parallel plane of the bridge. A observer in a car travelling on the bridge finds the stone going pass by the car while ascending and also while descending between two points on the road 30 m away. The car is travelling at a speed of 15 m/s. The stone is thrown from the bank of river just at the same level of water. Horizontal distance AB travelled by stone is :-A. 0 mB. 75 mC. 120 mD. 240 m |
| Answer» Correct Answer - C | |
| 28. |
A man on a rectilinearly moving cart, facing the direction of motion, throws a ball straight up with respect to himselfA. The ball will always return to him.B. The ball will never return to him.C. The ball will return to him if the cart moves with constant velocityD. The ball will fall behind him if the cart moves with some positive acceleration. |
| Answer» Correct Answer - C::D | |
| 29. |
A block is thrown with a velocity of `2m//s^(-1)` (relative to ground) on a belt, which is moving with velocity `4ms^(-1)` in opposite direction of the initial velocity of block. If the block stops slipping on the belt after `4sec` of the throwing then choose the correct statements `(s)`A. Displacement with respect to ground is zero after 2.66 s and magnitude of displacement with respect to ground is 12 m after 4s.B. Magnitude of displacement with respect to ground in 4s is 4 m.C. Magnitude of displacement with respect to belt in 4s is 12 m.D. Displacement with respect to ground is zero in 8/3 s. |
| Answer» Correct Answer - B::C::D | |
| 30. |
Consider the motion of three bodies as shown for an observer on B. what is the magnitude of relative velcoity of A with respect to C ? A. 10 m/sB. 0C. `sqrt(20) m//s`D. 8 m/s |
| Answer» Correct Answer - A | |
| 31. |
An observer on ground sees a boat cross a river of width 800 m perpendicular to its stream in 200 seconds. He also finds a man on a raft floating at speed of 3 m/s with river. The distance travelled by boat as seen by man on the raft in crossing the river is -A. 800 mB. 1000 mC. 1200 mD. 1600 m |
| Answer» Correct Answer - B | |
| 32. |
A particle is projected form a horizontal plane `(x-z` plane) such that its velocity vector at time `t` is gives by `vecV = ahati +(b - ct)hatj`. Its range on the horizontal plane is given byA. `(ba)/(c)`B. `(2ba)/(c)`C. `(3ba)/(c)`D. none |
| Answer» Correct Answer - B | |