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

Question

Question

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

\(1 : \sqrt{3}\)
\(\sqrt{3} : 1\)
1 ∶ 1
1 ∶ 2

Answer 1

Concept:

Displacement- time graph is used to express the displacement of a body with respect to time. The slope of Displacement- time graph is equal to velocity.

Slope = tan θ = Velocity

Calculation:

F1 Savita Others 8-8-22 D2

Angle made by first body, θ₁ = 30⁰

Velocity of first body, v₁ = tanθ₁ = tan 30^o = 1/√3

Angle made by second body, θ₂ = 450

Velocity of second body, v2 = tanθ₂ = tan45^o = 1

Ratio of Velocity = \(\frac{v_1}{v_2}=\frac{1}{√3}\) = 1 : √3

Hence, option (1) is the correct answer.

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Question

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

Answer (Detailed Solution Below)

Detailed Solution

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