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12th Grade > Physics

VECTORS MCQs

Total Questions : 26 | Page 3 of 3 pages
Question 21. What happens if a vector is multiplied by a number 2?
 
  1.    The magnitude of the vector is doubled but its direction remains the same
  2.    The magnitude of the vector remains the same but its direction is reversed
  3.    The magnitude of the vector id doubled and its direction is reversed
  4.    Neither the magnitude nor the direction of the vector  undergo any change
 Discuss Question
Answer: Option A. -> The magnitude of the vector is doubled but its direction remains the same
:
A
Multiplication of a vector by a real positive number n makes its magnitude n times but does not change thedirection of the vector.
Hence the correct choice is (a).
Question 22. If multiple vectors cancel out then what do we get ?
  1.    0
  2.    0 vector
  3.    Unit vector
  4.    Can not be determined
 Discuss Question
Answer: Option B. -> 0 vector
:
B
0 vector. Watch the next video to refine this concept.
Question 23. You have to go to building B from A and it's raining heavily. You want to get as less wet as possible. Will only running fast help you or can running slow also work?
  1.    Running fast is the only solution.
  2.    Yes, Running slow might help sometimes.
  3.    First run fast then slow.
  4.    First run slow then fast.
 Discuss Question
Answer: Option B. -> Yes, Running slow might help sometimes.
:
B
Running slow can also work sometimes. Watch the next video to understand why.
Question 24. The magnitude of the resultant of two equal vectors is equal to the magnitude of either vector. The angle between the resultant and either vector will be
  1.    60∘
  2.    90∘
  3.    120∘
  4.    150∘
 Discuss Question
Answer: Option A. -> 60∘
:
A
From the triangle law of vector addition, it is clear that the vectors R, A and B must be representedby the three sides of an equilateral triangle because the magnitudes of the three vectors are equal. Hencethe angle α between vectors R and A is 60. Alternatively, the value of αis given by
tanα=BsinθA+Bcosθ=sinθ1+cosθ(A=B)
=sin1201+cos120=1.732
Which gives α=60.
Hence the correct choice is (a)
Question 25. The magnitude of the resultant of two vectors of magnitudes 3 units and 4 units in 5 units.  What is the angle between two vectors?
 
  1.    π4
  2.    π2
  3.    3π4
  4.    π 
 Discuss Question
Answer: Option B. -> π2
:
B
The magnitude R of the resultant vector R of two vectors A and B inclined at an angle θ is given by
R2=A2+B2+2ABcosθ
cosθ=R2A2B22AB=(5)2(3)2(4)22×3×4=0
θ=π2.
Hence the correct choice is (b)
Question 26. Which of the given vector is a negative vector?
Which Of The Given Vector Is A Negative Vector?
  1.    Vector A
  2.    Vector B
  3.    There is no such thing as Negative Vector
  4.    None of these
 Discuss Question
Answer: Option C. -> There is no such thing as Negative Vector
:
C
We can assign any random direction to be positive and then all the vectors directing towards that direction will be represented with a positive sign and the vectors directing opposite to it will be accompanied with a negative sign. We define such signs for our convenience and there is no positive or negative vector in absolute terms.

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