Which one of following pair cannot be rectangular components of force vector of 10 ,N ?

English

Gujarati

Hindi

3-1.Vectors

easy

Which one of the following pair cannot be the rectangular components of force vector of $10 \,N$ ?

A

$6 \,N$ and $8 \,N$

B

$7 \,N$ and $\sqrt{51} \,N$

C

$6 \sqrt{2} \,N$ and $2 \sqrt{7} \,N$

D

$9 \,N$ and $1 \,N$

Solution

(d)

The vector magnitude $=\sqrt{A_{x^2}+A_{y^2}}$

Vector magnitude $=10$

But $(d)$ option gives the magnitude

$\Rightarrow \sqrt{9^2+1^2}=\sqrt{82} \neq 10$

[by trial method check options]

Standard 11

Physics

Share

Similar Questions

A person pushes a box kept on a horizontal surface with force of $100\,N$ . In unit vector notation force $\vec F$ can be expressed as ?

medium

Which of the following statement$(s)$ is are correct?

easy

Three forces acting on a body are shown in the figure. To have the resultant force only along the $y-$ direction, the magnitude of the minimum additional force needed is ……….. $N$

medium

(AIPMT-2008)

A particle starting from the origin $(0,0)$ moves in a straight line in the $(x, y)$ plane. Its coordinates at a later time are $(\sqrt 3,3)$ . The path of the particle makes with the $x -$ axis an angle of ……. $^o$

medium

A vector in $x-y$ plane makes an angle of $30^{\circ}$ with $y$-axis The magnitude of $y$-component of vector is $2 \sqrt{3}$. The magnitude of $x$-component of the vector will be

medium

(JEE MAIN-2023)