A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its linear speed is \(v\) in the direction shown, which one of the following options is correct (\(P\) and \(Q\) are any highest and lowest points on the wheel, respectively)?
| 1. | Point \(P\) moves faster than point \(Q\). |
| 2. | Both the points \(P\) and \(Q\) move with equal speed. |
| 3. | Point \(P\) has zero speed. |
| 4. | Point \(P\) moves slower than point \(Q\). |
Subtopic: Rolling Motion (OLD NCERT) |
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Match List I with List II.
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. \(\mathrm{A - II, B - I, C - IV, D - III}\)
| 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 \(n_1=2\) | \(\mathrm{IV.}\) | \(486.1\) |
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 |
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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
1. \(30~\text J\)
2. \(-90~\text J\)
3. \(-60~\text J\)
4. zero
Subtopic: Work Done by a Gas |
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The terminal voltage of the battery, whose emf is \(10~\text V\) and internal resistance \(1~\Omega,\) when connected through an external resistance of \(4~\Omega\) as shown in the figure is:
1. \(6~\text V\)
2. \(8~\text V\)
3. \(10~\text V\)
4. \(4~\text V\)
1. \(6~\text V\)
2. \(8~\text V\)
3. \(10~\text V\)
4. \(4~\text V\)
Subtopic: EMF & Terminal Voltage |
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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. \(1:2\)
1. \(2:1\)
2. \(1:1\)
3. \(1:4\)
4. \(1:2\)
Subtopic: Transformer |
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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 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. \(\large{\frac{\sqrt5}{2}}\)
2. \(\large{\frac{\sqrt3}{4}}\)
3. \(\large{\frac{\sqrt3}{2}}\)
4. \(\large{\frac{\sqrt5}{4}}\)
1. \(\large{\frac{\sqrt5}{2}}\)
2. \(\large{\frac{\sqrt3}{4}}\)
3. \(\large{\frac{\sqrt3}{2}}\)
4. \(\large{\frac{\sqrt5}{4}}\)
Subtopic: Prisms |
From NCERT
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The quantities which have the same dimensions as those of solid angle are:
1. stress and angle
2. strain and arc
3. angular speed and stress
4. strain and angle
1. stress and angle
2. strain and arc
3. angular speed and stress
4. strain and angle
Subtopic: Dimensions |
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A thin flat circular disc of radius \(4.5~\text {cm}\) is placed gently over the surface of water. If 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. \(19.8~\text{mN}\)
1. \(198~\text{N}\)
2. \(1.98~\text{mN}\)
3. \(99~\text{N}\)
4. \(19.8~\text{mN}\)
Subtopic: Surface Tension |
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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
In the light of the above statements, choose the correct answer from the options given below:
| Assertion A: | The potential \((V)\) at any axial point, at \(2~\text m\) distance (\(r\)) from the centre of the dipole of dipole moment vector \(\vec P\) of magnitude, \(4\times10^{-6}~\text{C m},\) is \(\pm9\times10^3~\text{V}.\) (Take \({\frac{1}{4\pi\varepsilon_0}}=9\times10^9\) SI units) |
| Reason R: | \(V=\pm{\large\frac{2P}{4\pi\varepsilon_0r^2}},\) where \(r\) is the distance of any axial point situated at \(2~\text m\) from the centre of the dipole. |
| 1. | Both (A) and (R) are True and (R) is NOT the correct explanation of (A). |
| 2. | (A) is True but (R) is False. |
| 3. | (A) is False but (R) is True. |
| 4. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
Subtopic: Electric Potential |
From NCERT
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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. \(5\pi^2\)
1. \(128\pi^2\)
2. \(50\pi^2\)
3. \(1280\pi^2\)
4. \(5\pi^2\)
Subtopic: Bar Magnet |
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