NEET Questions

Can dimensional analysis derive equations involving trigonometric functions?

A force of 10 N acts at an angle of 30° with the horizontal. What is the horizontal component of the force?

A force of 20 N acts at an angle of 30° to the horizontal. What are the horizontal and vertical components of this force?

If a vector $\vec{A}$ is resolved into two perpendicular components $A_x$ and $A_y$, and the magnitude of $A_x$ is twice the magnitude of $A_y$, what is the angle between $\vec{A}$ and the x-axis?

When a wave traverses a medium, the displacement of a particle located at x at a time t is given by $y = a\sin \left( {bt - cx} \right)$, where a,b and c are constants of the wave. Which of the following is a quantity with dimensions

In the relation $y = a\cos \left( {\omega t - kx} \right)$, the dimensional formula for k is

Given that $:y = A\sin \left[ {\left( {\frac{{2\pi }}{\lambda }} \right)\;\left( {ct - x} \right)} \right]$ where, y and x are measured in metre. Which of the following statements is true?

Given that $:y = A\sin \left[ {\left( {\frac{{2\pi }}{\lambda }} \right)\;\left( {ct - x} \right)} \right]$ where, y and x are measured in metre. Which of the following statements is true?

In the equation $y = a\sin \omega t + kx$ the dimensional formula of $\omega$ is

In the relation $x = \cos \left( {{\rm{\omega }}t + kx} \right),$ the dimensions of ω are