Question

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

• A. $2N\text{and}2N$
• B. $1N\text{and}1N$
• C. $1N\text{and}3N$
• D. $1N\text{and}4N$

Answer 1

The correct option is D $1N\text{and}4N$

if two vector $A$ and $B$ are given, then range of thier resultant can be written as,
$(A-B)\le R\le (A+B)$
i.e., $R_{max}=A+B\text{and}{R}_{min}=A-B$
If $B=1\text{and}A=4$, then their resultant will lie in between $3N\text{and}5N$. it can never be $2N$.