Each side of a metallic cube of mass \(5.580\) kg is measured to be \(9.0\) cm. Keeping the significant figures in view, the density of the material of the cube can be best expressed as \(X \times10^3 ~\text{kg m}^{-3},\) where the value of \(X\) is: 
1. \(7.654\)
2. \(7.7\)
3. \(7.65\)
4. \(7.6\)
Subtopic:  Significant Figures |
Level 3: 35%-60%
NEET - 2026
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For a travelling harmonic wave:
\(y(x, t) = 2.0 \cos 2\pi(10 t - 0.0080 x + 0.35),\) where \(x\) and \(y\) are in cm and \(t\) in s. The phase difference between the oscillatory motions of two points separated by a distance of \(0.5\) m is:
1. \(8 ~\pi \text{ rad}\)
2. \(0.08~ \pi \text{ rad}\)
3. \(0.008~\pi \text{ rad}\)
4. \(0.8 ~\pi \text{ rad}\)
Subtopic:  Travelling Wave on String |
Level 3: 35%-60%
NEET - 2026
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A ray of monochromatic light is passing through an equilateral prism \((ABC)\) as shown in the figure. The refracted ray \((QR)\) is parallel to its base \((BC)\) and the angle of incidence \((i)\) is \(50^\circ\). Then the angle of deviation \((\delta)\) is:
1. \(40^\circ\) 2. \(45^\circ\)
3. \(55^\circ\) 4. \(35^\circ\)
Subtopic:  Prisms |
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Level 2: 60%+
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In the circuit shown below, the voltage appearing across the diode \(D\) will be of the form:
1.
2.
3.  
4.
Subtopic:  PN junction |
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Level 2: 60%+
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For a simple pendulum having a time period, \(T,\) the variation of kinetic energy \((K.E.)~\) with time \((t)~\) is represented by:
1.
2.
3.
4.
Subtopic:  Energy of SHM |
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Level 3: 35%-60%
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A resistor is connected to a battery of \(12\) V EMF and internal resistance \(2~\Omega.\) If the current in the circuit is \(0.6\) A, the terminal voltage of the battery is:
1. \(10~\text{V}\)
2. \(10.8~\text{V}\)
3. \(12~\text{V}\)
4. \(1.2~\text{V}\)
Subtopic:  EMF & Terminal Voltage |
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Level 2: 60%+
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The amount of work done to raise a mass '\(m\)' from the surface of the Earth to a height equal to the radius of the Earth '\(R\)', will be:
1. \(2mgR\)
2. \(mgR\)
3. \(mg\dfrac{R}{4}\)
4. \(mg\dfrac{R}{2}\)
Subtopic:  Gravitational Potential Energy |
 58%
Level 3: 35%-60%
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An electric heater supplies heat to a system at a rate of \(100\) W. If the system performs work at a rate of \(75\) J/s, then the rate at which internal energy increases will be:
1. \(125~\text{W}\)
2. \(100~\text{W}\)
3. \(25~\text{W}\)
4. \(75~\text{W}\)
Subtopic:  First Law of Thermodynamics |
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Level 2: 60%+
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A room heater is rated \(400\) W, \(220\) V. If the supply voltage drops to \(200\) V, what will be the power consumed (approximately)?
1. \(121~\text{W}\)
2. \(331~\text{W}\)
3. \(200~\text{W}\)
4. \(400~\text{W}\)
Subtopic:  Heating Effects of Current |
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Level 2: 60%+
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When a ruler falls vertically, \(5\) different persons catch it with different reaction times. (\(g = 9.8 \text{ m s}^{-2}\))
\((\mathrm{A})\) Person \(A\) has reaction time of \(0.20\) s.
\((\mathrm{B})\) Person \(B\) has reaction time of \(0.22\) s.
\((\mathrm{C})\) Person \(C\) has reaction time of \(0.18\) s.
\((\mathrm{D})\) Person \(D\) has reaction time of \(0.19\) s.
\((\mathrm{E})\) Person \(E\) has reaction time of \(0.21\) s.
What is the correct order of the distance travelled by the ruler for each person?
1. \(C>D>A>B>E\)
2. \(C>D>A>E>B\)
3. \(B>E>A>C>D\)
4. \(B>E>A>D>C\)
Subtopic:  Uniformly Accelerated Motion |
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Level 2: 60%+
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