In the diagram shown, the normal reaction force between \(2\) kg and \(1\) kg blocks is:
(Consider the surface to be smooth and \(g=10\) ms–2 )

            

1. \(25\) N
2. \(39\) N
3. \(6\) N
4. \(10\) N

Subtopic:  Tension & Normal Reaction |
 50%
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Identify the equivalent logic gate represented by the circuit given below:
           
1. \(\mathrm{OR}\)
2. \(\mathrm{NOR}\)
3. \(\mathrm{AND}\)
4. \(\mathrm{NAND}\)
Subtopic:  Logic gates |
 60%
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Two copper vessels \(A\) and \(B\) have the same base area but are of different shapes. \(A\) takes twice the volume of water that \(B\) requires to fill up to a particular common height. Then the correct statement among the following is:
1. pressure on the base area of vessels \(A\) and \(B\) is same.
2. pressure on the base area of vessels \(A\) and \(B\) is not same.
3. both vessels \(A\) and \(B\) weigh the same.
4. vessel \(B\) weighs twice that of \(A\).
Subtopic:  Pressure |
 68%
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The distance between the two plates of a parallel plate capacitor is doubled, and the area of each plate is halved. If \(C\) is its initial capacitance, its final capacitance is equal to:
1. \(2C\) 2. \(\frac{C}{2}\)
3. \(4C\) 4. \(\frac{C}{4}\)
Subtopic:  Capacitance |
 78%
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The terminal velocity of a copper ball of radius \(5~\text{mm}\) falling through a tank of oil at room temperature is \(10~\text{cm}~\text{s}^{-1}\) . If the viscosity of oil at room temperature is \(0.9~\text{kg}~\text{m}^{-1}~\text{s}^{-1}\), the viscous drag force is:
1. \(8.48 \times10^{-3}\) N
2. \(8.48 \times10^{-5}\) N
3. \(4.23 \times10^{-3}\) N
4. \(4.23 \times10^{-6}\) N
Subtopic:  Stokes' Law |
 64%
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If \(\vec F=2\hat i+\hat j-\hat k\) and \(\vec r=3\hat i+2\hat j-2\hat k,\) then the scalar and vector products of \(\vec F\) and \(\vec r\) have the magnitudes, respectively, as:
1.  \(5, ~\sqrt3\)
2.  \(4,~ \sqrt5\)
3.  \(10, ~\sqrt2\)
4.  \(10,~2\)
Subtopic:  Vector Product |
 75%
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After passing through a polarizer, a linearly polarized light of intensity \(I\) is incident on an analyser making an angle of \(30^\circ\) with the axes of the polariser. The intensity of light emitted from the analyser will be:
1. \(\frac{I}{2}\) 2. \(\frac{I}{3}\)
3. \(\frac{3I}{4}\) 4. \(\frac{2I}{3}\)
Subtopic:  Polarization of Light |
 79%
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The restoring force of a spring, with a block attached to the free end of the spring, is represented by:
 
1. 2.
3. 4.
Subtopic:  Spring mass system |
 65%
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If the screen is moved away from the plane of the slits in Young's double slit experiment, then the:
1. angular separation of the fringes increases.
2. angular separation of the fringes decreases.
3. linear separation of the fringes increases.
4. linear separation of the fringes decreases.
Subtopic:  Young's Double Slit Experiment |
 63%
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The effective capacitances of two capacitors are \(3~\mu \text{F}\) and \(16~\mu \text{F}\), when they are connected in series and parallel respectively. The capacitance of two capacitors are:
1. \(10 ~\mu \text{F}, ~6~\mu \text{F}\) 2. \(8 ~\mu \text{F}, ~8~\mu \text{F}\)
3. \(12~\mu \text{F},~ 4~\mu \text{F}\) 4. \(1.2~\mu \text{F},~1.8~\mu \text{F}\)
Subtopic:  Combination of Capacitors |
 76%
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