Q.

Which pair of the following forces will never give resultant force of 2 N?

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a

2 N and 2 N

b

1 N and 1 N

c

1 N and 3 N

d

1 N and 4 N

answer is D.

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Detailed Solution

If two vectors A and B are given then range of their resultant can be written as (A - B) ≤ R ≤ (A + B).i.e., Rmax=A+B and Rmin=A−BIf B = 1 and A = 4 then their resultant will lies in between 3 N and 5 N. It can never be 2 N.
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