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A person applies a sine wave and square wave to an AND gate as shown in the figure (i) and (ii). Assuming that both the voltages are applied in phase, the person observes the output at $E$ and $F$ on (i) and (ii), respectively. [Assume minimum voltage of $5 \mathrm{~V}$ is equivalent to logic (i)]

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The correct answer is:
No output and pulsed wave at $100 \mathrm{~Hz}$.
Given,
(i) Sine wave, $50 \mathrm{~Hz}, 2 \mathrm{~V}$

square wave $107 \mathrm{~Hz}, 6 \mathrm{~V}$
(ii) Sine wave, $100 \mathrm{~Hz}, 8 \mathrm{~V}$
square wave $100 \mathrm{~Hz}, 6 \mathrm{~V}$
In figure (i), sine wave and square wave both have different frequency, respectively, $50 \mathrm{~Hz}$ and $107 \mathrm{~Hz}$. Hence, these voltages are not processed by AND gate, therefore, no output is obtained from gate (i). In figure (ii), since wave and square wave both have same frequency of $100 \mathrm{~Hz}$, hence, these voltage are processed by AND gate. Since, logic gate (AND gate) gives output in two level $(0$ and 1$)$ only at same frequency of input. Therefore, the output of gate (ii) will be pulsed wave of $100 \mathrm{~Hz}$.
(i) Sine wave, $50 \mathrm{~Hz}, 2 \mathrm{~V}$

square wave $107 \mathrm{~Hz}, 6 \mathrm{~V}$
(ii) Sine wave, $100 \mathrm{~Hz}, 8 \mathrm{~V}$

square wave $100 \mathrm{~Hz}, 6 \mathrm{~V}$
In figure (i), sine wave and square wave both have different frequency, respectively, $50 \mathrm{~Hz}$ and $107 \mathrm{~Hz}$. Hence, these voltages are not processed by AND gate, therefore, no output is obtained from gate (i). In figure (ii), since wave and square wave both have same frequency of $100 \mathrm{~Hz}$, hence, these voltage are processed by AND gate. Since, logic gate (AND gate) gives output in two level $(0$ and 1$)$ only at same frequency of input. Therefore, the output of gate (ii) will be pulsed wave of $100 \mathrm{~Hz}$.
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