NEET 2022 — Physics solution

NEET2022Physics

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

A
1 : 1
B
1 : 2
C
1 : $3$
D
$3$ : 1

Solution

The velocity of each particle equals the slope of its displacement vs time line, that is $v = tan θ$ .

$\frac{v _{1}}{v _{2}} = \frac{tan 3 0 ^{\circ}}{tan 4 5 ^{\circ}} = \frac{1/ 3}{1} = \frac{1}{3}$ .

Therefore $v_{1} : v_{2} = 1 : 3$ .

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