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Standard XI

Physics

Range

An object is ...

Question

An object is projected at an angle of $45^{\circ}$ with the horizontal. The horizontal range and the maximum height reached will be in the ratio.

1 : 2

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2 : 1

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1 : 4

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4 : 1

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Solution

The correct option is D
4 : 1

$R = 4 H c o t θ$ , if $θ = 45^{\circ}$ then $R = 4 H \Rightarrow \frac{R}{H} = \frac{4}{1}$

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An object is projected at an angle of 45∘ with the horizontal. The horizontal range and the maximum height reached will be in the ratio.

The correct option is D 4 : 1 R=4H cot θ, if θ=45∘ then R=4H⇒RH=41

An object is projected at an angle of $45^{\circ}$ with the horizontal. The horizontal range and the maximum height reached will be in the ratio.

The correct option is D
4 : 1

$R = 4 H c o t θ$ , if $θ = 45^{\circ}$ then $R = 4 H \Rightarrow \frac{R}{H} = \frac{4}{1}$