A spray pipe has a cylindrical tube of radius . It has small holes of radius at one end. The liquid flows through the tube with velocity . The velocity of the liquid through the holes is
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2
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4
Official Solution
Correct Option: (1)
Step 1: Applying equation of continuity. For incompressible flow, volume flow rate remains constant.
Step 2: Area of the tube.
Step 3: Total area of the holes. Each hole has area . For holes:
Step 4: Substituting in continuity equation.
Step 5: Solving for velocity through holes.
Step 6: Conclusion. The velocity of liquid through the holes is .
02
PYQ 2020
medium
physicsID: mht-cet-
In Boolean algebra the output and the inputs and are related as . The logic gate corresponding to this equation is
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NOT
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AND
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OR
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NAND
Official Solution
Correct Option: (4)
Step 1: Understanding the equation. The given equation is , which is the negation of the AND operation between and . Step 2: Identify the corresponding logic gate. The logic gate that performs the negation of the AND operation is the NAND gate. The NAND gate outputs 1 when at least one of its inputs is 0, and it outputs 0 only when both inputs are 1. Step 3: Conclusion. Thus, the logic gate corresponding to is the NAND gate, which corresponds to option (D).
03
PYQ 2020
medium
physicsID: mht-cet-
Logic circuit shows the inputs , and . The output is ‘0’ (zero) when
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2
3
4
Official Solution
Correct Option: (3)
Step 1: Identify the logic gates. From the circuit diagram: - Input passes through a NOT gate. - Inputs and pass through a NAND gate. - Outputs of NOT and NAND gates are connected to an OR gate. Step 2: Write expressions for each gate output. Output of NOT gate: Output of NAND gate: Step 3: Write the final output expression. Step 4: Check option (C). For :
