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JEE Questions for Physics Vectors Quiz 2 - MCQExams.com
JEE
Physics
Vectors
Quiz 2
If the angle between the vectors A and B is 0, then the value of the product (B × A) • A is equal to
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BA2 cos θ
0%
BA2 sin θ
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BA2 sin θ cos θ
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zero
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3
0%
1.5
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–1.5
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–3
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–7
0%
+7
0%
+10
0%
+13
If the order of two vectors A and B is reversed, then in the cross product of two vectors, the resultant vector
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changes only in direction
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changes in magnitude
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magnitude and direction
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does not change both in magnitude and direction
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1
0%
2
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3
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4
0%
5
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0%
0%
2)
0%
0%
All of these
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16 J
0%
12 J
0%
8 J
0%
zero
A train is moving slowly on a straight track with a constant speed of 2 ms
-1
. A passenger in the train starts walking at a steady speed of 2 ms
-1
to the back of the train in the opposite direction of the motion of the train. So, to an observer standing on the platform directly in front of that passenger, the velocity of the passenger appears to be
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4 ms-1
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2 ms-1
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2 ms-1 in the opposite direction of the train
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zero
A motorboat covers a given distance in 6 h moving downstream on a river. It covers the same distance in 10 h moving upstream. The time it takes to cover the same distance in still water is
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9 h
0%
7.5 h
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6.5 h
0%
8 h
A boat crosses a river of width 1 km by shortest path in 15 min. If the speed of boat in still water is 5 kmh
-1
, then what is the speed of the river?
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5 kmh-1
0%
12 kmh-1
0%
3 kmh-1
0%
4 kmh-1
Two trains are moving with equal speed in opposite directions along two parallel railway tracks. If the wind is blowing with speed u along the track so that the relative velocities of the trains w.r.t the wind are in the ratio 1 : 2, then the speed of each train must be
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3u
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2u
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5u
0%
4u
A train of 150 m length is going towards North direction at a speed of 10 ms
-1
. A parrot flies at a speed of 5 ms
-1
towards South direction parallel to the railway track. The time taken by the parrot to cross the train is equal to
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12 s
0%
8 s
0%
15 s
0%
10 s
0%
5 s
Two trains, each of length 200 m are running on parallel tracks. One overtakes the other in 20 s and one crosses the other in 10 s. The velocities of the two trains are
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5 ms-1 , 10 ms-1
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10 ms-1 , 30 ms-1
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15 ms-1 , 20 ms-1
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20 ms-1 , 21 ms-1
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10 ms-1 , 5 ms-1
A passenger train is moving at 5 ms
-1
. An express train is travelling at 30 ms
-1
, on the same track and rear side of the passenger train at some distance. The driver in express train applied brakes to avoid collision. If the retardation due to brakes is 4 ms
-2
, the time in which the accident is avoided after the application of brakes is
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4.25 s
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5.25 s
0%
6.25 s
0%
7.25 s
A man standing on a road has to hold his umbrella at 30° with the vertical to keep the rain away. He throws the umbrella and starts running at 10 kmh
-1
. He finds that the raindrops are hitting his head vertically. The actual speed of raindrops is
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20 kmh-1
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10√3 kmh-1
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20√3 kmh-1
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10 kmh-1
Consider a collection of a large number of particles each with speed v. The direction of velocity is randomly distributed in the collection. The magnitude of the relative velocity between a pair of particles averaged overall the pairs in the collection is
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4v⁄π
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greater than 4v⁄π
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less than 4v⁄π
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zero
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0%
2)
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0%
Which of the following sets of concurrent forces may be in equilibrium ?
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0%
2)
0%
0%
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0%
2)
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0%
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0%
2)
0%
0%
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0%
2)
0%
0%
0%
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0%
2)
0%
0%
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0%
2)
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0%
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0°
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30°
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45°
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90°
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0%
2)
0%
0%
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0%
16 J
0%
64 J
0%
32 J
0%
48 J
Airplanes A and B are flying with constant velocity in the same vertical plane at an angles 30° and 60° w.r.t. the horizontal, respectively as shown in the figure given below. The speed of A is 100√3 ms-1. At time t = 0s, an observer in A finds B at a distance of 500 m. This observer sees B moving with a constant velocity perpendicular to the line of motion of A. If at t = t
0
, A just escapes being hit by B, t
0
(in second) is
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3
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5
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7
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9
A particle is moving Eastwards with a velocity of 5 ms
-1
. In 10 s the velocity changes to 5 ms
-1
Northwards. The average acceleration in this time is
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0%
0%
2)
0%
zero
0%
How many minimum number of non-zero vectors in different planes can be added to give zero resultant ?
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2
0%
3
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4
0%
5
A person aiming to reach the exactly opposite point on the bank of a stream is swimming with a speed of 0.5 m/s at an angle of 120° with the direction of flow of water. The speed of water in the stream is
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1 m/s
0%
0.5 m/s
0%
0.25 m/s
0%
0.433 m/s
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