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Question

Find the correct combination of A, B, C and D inputs which can cause the LED to glow.

The correct answer is
1000

To solve this problem, we need to analyze the logic circuit provided in the image and determine which input combination of A, B, C, and D will cause the LED to glow. The LED is connected to a circuit that involves logic gates.

Let's break down the analysis step-by-step:

  1. Identify the logic gates in the circuit. From the image, we observe the following:
    • The first gate is an AND gate with inputs A and B.
    • The second gate is a NAND gate with inputs B and D.
    • The third gate is an OR gate that takes inputs from the outputs of the first (AND) and second (NAND) gates.
    • The LED will glow if there is a logical '1' at the output of the OR gate.
  2. Apply the inputs and evaluate the outputs:
    • The AND gate will output '1' only if both A and B are '1'.
    • The NAND gate will output '1' if either B is '0' or D is '0'.
    • The OR gate will output '1' if at least one of its inputs is '1'.
  3. Given options for binary input combinations:

To find the correct option, evaluate each based on the circuit properties:

  • 1000: A=1, B=0, C=0, D=0
    • AND gate output = 0 (since B=0)
    • NAND gate output = 1 (since B=0)
    • OR gate output = 1 (since NAND gate output is 1)
    • The LED will glow for this input combination.
  • 100, 11, and 1101 do not ensure the OR gate output reaches '1'.

Thus, the correct combination of inputs that causes the LED to glow is 1000.

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Important Questions from Modern Physics

  1. Assuming in forward bias condition there is a voltage drop of $0.7 \text{ V}$ across a silicon diode, the current through diode $D_1$ in the circuit is ________$\text{mA}$.
    (Assume all diodes in the given circuit are identical)

  2. The ratio of de Broglie wavelength of a deutron with kinetic energy $E$ to that of an alpha particle with kinetic energy $2E$, is $n : 1$. The value of $n$ is ________.
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  3. The wave numbers of three spectral lines of H atom are considered. Identify the set of spectral lines belonging to Balmer series.
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  4. 7.9 MeV $\alpha$-particle scatters from a target material of atomic number 79. From the given data the estimated diameter of nuclei of the target material is (approximately) _________ m.
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