Kelvi

The displacement-time graphs of two moving particles make angles of $30^\circ$ and $45^\circ$ with the x-axis. The ratio of their respective velocity is:

easy

Motion in a Plane

2022

physics

$\sqrt{3} : 1$

1 : 1

1 : 2

$1 : \sqrt{3}$

Explanation

To solve this problem, we need to understand that the velocity of a particle is given by the slope of its displacement-time graph. $\\$ The slope of the graph is $\tan(\theta),$ where $\theta$ is the angle the graph makes with the x-axis. $\\$ For the first particle: $\\ \theta_1 = 30^\circ \\ v_1 = \tan(30^\circ) = \frac{1}{\sqrt{3}} \\$

Our AI powered practice platform can help you achieve your doctor dream.

Practice 2000+ previous year NEET questions
More practice, more score
AI generated hints
Use hints to get start solving
AI companion chat to clear doubts 24*7
Ask any question, get instant answers
AI generated solutions
Get detailed step by step solutions
Check related NCERT content
Read while solving
Track your progress
Improve every day

The displacement-time graphs of two moving particles make angles of 30∘ 30^\circ 30∘ and 45∘ 45^\circ 45∘ with the x-axis. The ratio of their respective velocity is:

Explanation

Our AI powered practice platform can help you achieve your doctor dream.

The displacement-time graphs of two moving particles make angles of $30^\circ$ and $45^\circ$ with the x-axis. The ratio of their respective velocity is: