A spherical ball is dropped in a long column of a highly viscous liquid. The curve in the graph shown, which represents the speed of the ball (\(v\)) as a function of time (\(t\)) is:
           
1. \(D\) 
2. \(A\) 
3. \(B\) 
4. \(C\)

Subtopic:  Viscosity |
 71%
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Let \(T_1\) and \(T_2\) be the energy of an electron in the first and second excited states of hydrogen atom, respectively. According to Bohr's model of an atom, the ratio \(T_1:T_2\) is:
1. \(9:4\)
2. \(1:4\)
3. \(4:1\)
4. \(4:9\) 
Subtopic:  Bohr's Model of Atom |
 64%
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The graph which shows the variation of de Broglie wavelength \((\lambda)\) of a particle and its associated momentum \((p)\) is:
 
1. 2.
3. 4.
Subtopic:  De-broglie Wavelength |
 83%
From NCERT
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Two pendulums of length \(121\) cm and \(100\) cm start vibrating in phase. At some instant, the two are at their mean position in the same phase. The minimum number of vibrations of the shorter pendulum after which the two are again in phase at the mean position is: 
1. \(8\) 2. \(11\)
3. \(9\) 4. \(10\)
Subtopic:  Angular SHM |
 67%
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The volume occupied by the molecules contained in \(4.5\) kg water at STP, if the molecular forces vanish away, is:
1. \(5.6\) m3
2. \(5.6\times10^{6}\) m3
3. \(5.6\times10^{3}\) m3
4. \(5.6\times10^{-3}\) m3
Subtopic:  Ideal Gas Equation |
From NCERT
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A nucleus of mass number \(189\) splits into two nuclei having mass numbers \(125\) and \(64.\) The ratio of the radius of two daughter nuclei respectively is:
1. \(25:16\) 2. \(1:1\)
3. \(4:5\) 4. \(5:4\)
Subtopic:  Nucleus |
 81%
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Given below are two statements: 
Assertion (A): The stretching of a spring is determined by the shear modulus of the material of the spring.
Reason (R): A coil spring of copper has more tensile strength than a steel spring of the same dimensions.
 
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is false but (R) is true.
4. (A) is true but (R) is false.
Subtopic:  Shear and bulk modulus |
From NCERT
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A capacitor of capacitance \(C=900~\text{pF}\) is charged fully by \(100~\text{V}\) battery \(B\) as shown in Figure \((a)\). Then it is disconnected from the battery and connected to another uncharged capacitor of capacitance \(C=900~\text{pF}\) as shown in Figure \((b)\). The electrostatic energy stored by the system \((b)\) is:
       
1. \(1.5\times 10^{-6}~\text{J}\) 2. \(4.5\times 10^{-6}~\text{J}\)
3. \(3.25\times 10^{-6}~\text{J}\) 4. \(2.25\times 10^{-6}~\text{J}\)
Subtopic:  Energy stored in Capacitor |
 56%
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From Ampere's circuital law, for a long straight wire of circular cross-section carrying a steady current, the variation of the magnetic field inside and outside the region of the wire is:
1. a linearly decreasing function of distance upto the boundary of the wire and then a linearly increasing one for the outside region.
2. uniform and remains constant for both regions.
3. a linearly increasing function of distance upto the boundary of the wire and then a linearly decreasing one for the outside region.
4. a linearly increasing function of distance \(r\) upto the boundary of the wire and then decreasing one with \(1/r\) dependence for the outside region.
Subtopic:  Ampere Circuital Law |
 62%
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The area of a rectangular field (in \(\mathrm{m^2}\)) of length \(55.3\) m and breadth \(25\) m after rounding off the value, for correct significant digits is:
1. \(14\times10^{2}\)
2. \(138\times10^{1}\)
3. \(1382\)
4. \(1382.5\)
Subtopic:  Significant Figures |
 59%
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