A logic circuit provides the output \(Y\) as per the following truth table:
\(A\) \(B\) \(Y\)
0
0
1
1
0
1
0
1
1
0
1
0
The expression for the output \(Y\) is : 
1. \(A \cdot \overline{B}+\overline{A} \)
2. \(\overline{B} \)
3. \(B \)
4. \(A \cdot B+\overline{A}\)

Subtopic:  Logic gates |
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Level 2: 60%+
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A wire of length \('l'\) and resistance \(100 ~\Omega\) is divided into \(10\) equal parts. The first \(5\) parts are connected in series while the next \(5\) parts are connected in parallel. The two combinations are again connected in series. The resistance of this final combination is:
1. \(52~ \Omega\) 2. \(55~ \Omega\)
3. \(60 ~\Omega\) 4. \(26~ \Omega\)
Subtopic:  Combination of Resistors |
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Level 2: 60%+
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The output (\(Y\)) of the given logic gate is similar to the output of an/a: 
1. \(\text{NOR}\) gate 2. \(\text{OR}\) gate
3. \(\text{AND}\) gate 4. \(\text{NAND}\) gate
Subtopic:  Logic gates |
 65%
Level 2: 60%+
NEET - 2024
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A thin spherical shell is charged by some source. The potential difference between the two points \(C\) and \(P\) (in V) shown in the figure is: 
( Take \(\dfrac{1}{4 \pi \epsilon_0}=9 \times 10^9\) SI units)
1. \(1 \times 10^5\) 2. \(0.5 \times 10^5\)
3. \(\text{zero}\) 4. \(3 \times 10^5\)
Subtopic:  Electric Potential |
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Level 2: 60%+
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A planet has a mass equal to \(\left ( \dfrac{1}{10} \right )^{\mathrm{th}} \) of Earth's mass and a diameter equal to half of Earth's diameter. The acceleration due to gravity on this planet is:
1. \(9.8 ~\text{ms}^{-2}\) 2. \(4.9 ~\text{ms}^{-2}\)
3. \(3.92 ~\text{ms}^{-2}\) 4. \(19.6~\text{ms}^{-2}\)
Subtopic:  Acceleration due to Gravity |
 67%
Level 2: 60%+
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The minimum energy required to launch a satellite of mass \(m\) from the surface of the earth of mass \(M\) and radius \(R\) in a circular orbit at an altitude of \(2R\) from the surface of the earth is:
1. \(\frac{2 G m M}{3 R} \) 2. \(\frac{G m M}{2 R} \)
3. \(\frac{G m M}{3 R} \) 4. \( \frac{5 G m M}{6 R}\)
Subtopic:  Satellite |
Level 3: 35%-60%
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A small telescope has an objective of focal length \(140~\text{cm}\) and an eyepiece of focal length \(5.0~\text{cm}.\) The magnifying power of the telescope for viewing a distant object is:
1. \(28\)
2. \(17\)
3. \(32\)
4. \(34\)
Subtopic:  Telescope |
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Level 2: 60%+
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The velocity \((v)\)-time \((t)\) plot of the motion of a body is shown below: 
                     
The acceleration \((a)\)-time \((t)\) graph that best suits this motion is: 
1. 2.
3. 4.
Subtopic:  Graphs |
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Level 2: 60%+
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Two heaters \(\mathrm{A}\) and \(\mathrm{B}\) have power rating of \(1~\text{kW}\) and \(2~\text{kW}\), respectively. Those two are first connected in series and then in parallel to a fixed power source. The ratio of power outputs for these two cases is:
1. \(2:9\)
2. \(1:2\)
3. \(2:3\)
4. \(1:1\)
Subtopic:  Heating Effects of Current |
 61%
Level 2: 60%+
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A force defined by; \(F = \alpha t^2 + \beta t\) acts on a particle at a given time \(t.\) The factor which is dimensionless, if \(\alpha\) and \(\beta\) are constants, is: 
1. \(\alpha t / \beta \) 2. \(\alpha \beta t \)
3. \(\alpha \beta / t \) 4. \(\beta t / \alpha\)
Subtopic:  Dimensions |
 66%
Level 2: 60%+
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