Match List I with List II.
List I
(Spectral Lines of Hydrogen for transitions from)
List II
(Wavelength (nm))
\(\mathrm{A.}\) \(n_2=3\)  to \(n_1=2\)  \(\mathrm{I.}\) \(410.2\)
\(\mathrm{B.}\) \(n_2=4\)  to \(n_1=2\)  \(\mathrm{II.}\) \(434.1\)
\(\mathrm{C.}\) \(n_2=5\)  to \(n_1=2\)  \(\mathrm{III.}\) \(656.3\)
\(\mathrm{D.}\) \(n_2=6\) to \(n_1=2\)  \(\mathrm{IV.}\) \(486.1\)
 
Choose the correct answer from the options given below:
1. \(\mathrm{A - III, B - IV, C - II, D - I}\)
2. \(\mathrm{A - IV, B - III, C - I, D - II}\)
3. \(\mathrm{A - I, B - II, C - III, D - IV}\)
4. \(\mathrm{A - II, B - I, C - IV, D - III}\)
Subtopic:  Spectral Series |
 64%
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A thermodynamic system is taken through the cycle \(abcda.\) The work done by the gas along the path \(bc\) is:
                     
1. \(30~\text J\)
2. \(-90~\text J\)
3. \(-60~\text J\)
4. zero
Subtopic:  Work Done by a Gas |
 70%
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A battery with an EMF of \(10~\text V\) and an internal resistance of \(1~\Omega\) is connected to an external resistance of \(4~\Omega,\) as shown in the figure. The terminal voltage of the battery in this configuration is:

1. \(6~\text V\)
2. \(8~\text V\)
3. \(10~\text V\)
4. \(4~\text V\)
Subtopic:  EMF & Terminal Voltage |
 71%
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In an ideal transformer, the turns ratio is \(\frac{N_p}{N_s}=\frac{1}{2} .\) The ratio \(V_s:V_p\) is equal to (the symbols carry their usual meaning):
1. \(2:1\)
2. \(1:1\)
3. \(1:4\)
4. \(1:2\)
Subtopic:  Transformer |
 71%
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A light ray enters through a right-angled prism at point \(P\) with the angle of incidence \(30^\circ\) as shown in the figure. It travels through the prism parallel to its base \(BC\) and emerges along the face \(AC.\) The refractive index of the prism is:
1. \({\dfrac{\sqrt5}{2}}\) 2. \({\dfrac{\sqrt3}{4}}\)
3. \({\dfrac{\sqrt3}{2}}\) 4. \({\dfrac{\sqrt5}{4}}\)
Subtopic:  Prisms |
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A thin flat circular disc of radius \(4.5~\text {cm}\) is placed gently over the surface of water. If the surface tension of water is \(0.07~\text{Nm}^{-1},\) then the excess force required to take it away from the surface is:
1. \(198~\text{N}\)
2. \(1.98~\text{mN}\)
3. \(99~\text{N}\)
4. \(19.8~\text{mN}\)
Subtopic:  Surface Tension |
 54%
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In a uniform magnetic field of \(0.049~\text T\), a magnetic needle performs \(20\) complete oscillations in \(5\) seconds as shown. The moment of inertia of the needle is \(9.8 × 10^{-6} ~\text{kg m}^2\). If the magnitude of magnetic moment of the needle is \(x \times 10^{-5 }~\text {Am}^2;\) then the value of '\(x\)' is:
1. \(128\pi^2\) 2. \(50\pi^2\)
3. \(1280\pi^2\) 4. \(5\pi^2\)
Subtopic:  Bar Magnet |
 54%
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If the monochromatic source in Young's double slit experiment is replaced by white light, then:
1. there will be a central dark fringe surrounded by a few coloured fringes.
2. there will be a central bright white fringe surrounded by a few coloured fringes.
3. all bright fringes will be of equal width.
4. interference pattern will disappear.
Subtopic:  Young's Double Slit Experiment |
 68%
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Given below are two statements:
Statement I: Atoms are electrically neutral as they contain equal number of positive and negative charges.
Statement II: Atoms of each element are stable and emit their characteristic spectrum.
 
In the light of the above statements, choose the most appropriate answer from the options given below:
1. Both Statement I and Statement II are incorrect.
2. Statement I is correct but Statement II is incorrect.
3. Statement I is incorrect but Statement II is correct.
4. Both Statement I and Statement II are correct.
Subtopic:  Spectral Series |
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The maximum elongation of a steel wire of \(1~\text m\) length if the elastic limit of steel and its Young's modulus, respectively, are \(8 × 10^8 ~\text{N m}^{-2 }\) and \(2 × 10^{11} ~\text{N m}^{-2},\) is:
1. \(0.4~\text{mm}\)
2. \(40~\text{mm}\)
3. \(8~\text{mm}\)
4. \(4~\text{mm}\)
Subtopic:  Young's modulus |
 69%
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