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An orbital is described with the help of a wave function. Since many wave functions are possible for 'an electron, there are many atomic orbitals. When atom is placed in a magnetic field the possible number of orientations for an orbital of azimuthal quantum number 3 is

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three

two

five

seven.

answer is D.

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Detailed Solution

For the azimuthal quantum number, l=3It is a p-orbital.

Magnetic quantum number m_lhave values from −l to +l and total of 2l+1 values.

For l=3, m_l values are:

ml=−3,−2,−1,0,1,2,3 for l=3; total m_l values =7= Number of orientations of orbitals.

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