Contents

**NEET Physics Chapter Wise Mock Test – Scalar and Vector**

**Question 1:
**If two vectors are equal in magnitude and their resultant is also equal in magnitude to one of them, then the angle between the two vectors is

(a) 60°

(b) 120°

(c) 90°

(d) 0°

**Question 2:
**If A = 3i + 4j and B = 7i + 24j the vector having the same magnitude as B and parallel to A is

(a) 5 i + 20 j

(b) 15i + 10j

(c) 201 + 15 j

(d) 15i + 20j

**Question 3:
**The sum of the magnitudes of two forces acting at a point is 16N. The resultant of these forces is perpendicular to the smaller forces and has a magnitude of 8 N. If the smaller forces of magnitude x, then the value of x is

(a) 2 N

(b) 4 N

(c) 6 N

(d) 7 N

**Question 4:
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**Question 5:
**If two vectors 2 i + 3j + k and -4i – 6j – lambdak are parallel to each other, then value of λ is

(a) zero

(b) -2

(c) 3

(d) 4

**Question 6:
**Which of the following statements is true?

(a) A scalar quantity is the one that is conserved in a process

(b) A scalar quantity is one that can never be negative values

(c) A scalar quantity is the one that does not vary from one point to another in space

(d) A scalar quantity has the same value for observers with different orientations of the axes

**Question 7:
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**Question 8:
**The value of n so that vectors 2i+3j-2k, 5i+ n j + k and – i+2 j+3 k may be coplanar, will be

(a) 18

(b) 28

(c) 9

(d) 36

**Question 9:
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**Question 10:
**A 120 m long train is moving in a direction with speed 20 m/s. A train B moving with 30 m/s in the opposite direction and 130 m long crosses the first train in a time

(a) 6 s

(b) 36 s

(c) 38 s

(d) None of these

**Question 11:
**A police jeep is chasing a culprit going on a motorbike. The motorbike crosses a turning at a speed of 72 km/h. The jeep follows it at a speed of 90 km/h, crossing the turning 10 s later than the bike. Assuming that they travel at constant speeds, how far from the turning will the jeep catch up with the bike? (in km)

(a) 1

(b) 2

(c) 3

(d) 4

**Question 12:
**A boat takes 2 h to travel 8 km and back in still water. If the velocity of water 4 km/h, the time taken for going up stream 8 km and coming back is

(a) 2 h

(b) 2 h 40 min .

(c) 1 h 20 min

(d) Cannot be estimated with the information given

**Question 13:
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**Question 14:
**A boat is sent across a river with a velocity of 8 km/h. If the resultant velocity of boat is 10 km/h, then velocity of river is

(a) 10 km/h

(b) 8 km/h

(c) 6 km/h

(d) 4 km/h

**Question 15:
**A piece of marble is projected from the earth’s surface with velocity of 50 m/s. 2 s later, it just clears a wall 5 m high. What is the angle of projection?

(a) 45°

(b) 30°

(c) 60°

(d) None of these

**Question 16:
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**Question 17:
**An aeroplane flies 400 m due to North and then 300 m due to South and then flies 1200 m upwards, the net displacement is

(a) greater than 1200 m

(b) less than 1200 m

(c) 1400 m

(d) 1500 m

**Question 18:
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**Question 19:
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**Question 20:
**A projectile is thrown in the upward direction making an angle of 60° with the horizontal direction with a velocity of 147 m/s. Then, the time after which its inclination with the horizontal is 45°, is

(a) 15 s

(b) 10.98 s

(c) 5.49 s

(d) 2.745 s

**Question 21:
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**Question 22:
**A projectile is fired from the surface of the earth with a velocity of 5 m/s and angle 0 with the horizontal. Another projectile fired from another planet with a velocity of 3 m/s 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}) (given, g = 9.8 m/s

^{2})

(a) 3.5

(b) 5.9

(c) 16.3

(d) 110.8

**Question 23:
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**Question 24:
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**Question 25:
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**Question 26:
**If A • B = A x B, then the angle between A and B is

(a) 45°

(b) 30°

(c) 60°

(d) 90°

**Question 27:
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**Question 28:
**A rocket is fired upward from the earth surface such that it creates an acceleration of 19.6 m/s

^{2}. If after 5 s, its engine is switched off, the maximum height of the rocket from earth’s surface would be

(a) 245 m

(b) 490 m

(b) 980 m

(d) 735 m

**Question 29:
**A missile is fired for maximum range with an initial velocity of 20 m/s. If g = 10 m/s2, the range of missile is

(a) 50 m

(b) 60 m

(c) 20 m

(d) 40 m

**Question 30:
**If a vector 2i + 3 j+ 8k is perpendicular to the vector 4j – 4i + ak, then value of a is

(a) -1

(b) 1/2

(c) -1/2

(d) 1

**Question 31:
**If A = 4i + 4j + 4k and B = 3i + j + 4k, then angle between vectors A and B is

(a) 180°

(b) 90°

(c) 45°

(d) 0°

**Question 32:
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**Question 33:
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