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Shapes of Orbitals and Nodes

The s-orbital...

Question

The s-orbitals of any atom are:

dependent on

s i n θ

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dependent on

c o s θ

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dependent on

s i n θ c o s θ

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independent of angles

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Solution

The correct option is D independent of angles
s-orbitals are non-directional. Hence, they are independent of angles.

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θ,

cos (- θ) = cos θ &

sin (- θ) = - sin θ

(0, 0), (cos θ, sin θ)

(sin θ, - cos θ)

y = 2 x

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x = a (cos θ + θ sin θ)

y = a (sin θ - θ cos θ)

θ

θ

{sin}^{2} θ + {cos}^{2} θ

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90^{\circ} .

{sin}^{2} A + {sin}^{2} B + s i n^{2} C = 2 + 2 cos A cos B cos C

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