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Predict which of the following statement...

Predict which of the following statements are true or false.
2s orbital has one node.

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The correct Answer is:
To determine whether the statement "2s orbital has one node" is true or false, we can follow these steps: ### Step 1: Understand what a node is A node is a region in an atomic orbital where the probability of finding an electron is zero. This means that at a node, the wave function of the electron is zero. **Hint:** Remember that nodes indicate areas where electrons cannot be found. ### Step 2: Identify the principal quantum number (n) for the 2s orbital The principal quantum number (n) indicates the energy level of the electron. For the 2s orbital, n = 2. **Hint:** The principal quantum number is the first number in the designation of an orbital (e.g., 1s, 2s, 3p). ### Step 3: Use the formula to calculate the total number of nodes The formula to calculate the total number of nodes in an orbital is given by: \[ \text{Total number of nodes} = n - 1 \] For the 2s orbital: \[ n = 2 \] \[ \text{Total number of nodes} = 2 - 1 = 1 \] **Hint:** This formula applies to all orbitals, so you can use it for any principal quantum number. ### Step 4: Conclusion Since we calculated that the total number of nodes for the 2s orbital is 1, we can conclude that the statement "2s orbital has one node" is true. **Final Answer:** True
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Knowledge Check

  • Which of the following statements are not true for dy orbital?

    A
    It is double dumbbell shaped.
    B
    The lobes lie in between x-and z-axes.
    C
    `p_z` orbital is perpendicular to `d_(xy)` orbital.
    D
    The lobes of `p_(x)` orbital are collinear with those of `d_(xy)`, orbital.
  • Which of the following statements are not true for dy orbital?

    A
    It is double dumbbell shaped.
    B
    The lobes lie in between x-and z-axes.
    C
    `p_z` orbital is perpendicular to `d_(xy)` orbital.
    D
    The lobes of `p_(x)` orbital are collinear with those of `d_(xy)`, orbital.
  • Which of the following statements are not true for dy orbital?

    A
    It is double dumbbell shaped.
    B
    The lobes lie in between x-and z-axes.
    C
    `p_z` orbital is perpendicular to `d_(xy)` orbital.
    D
    The lobes of `p_(x)` orbital are collinear with those of `d_(xy)`, orbital.
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