The graph that shows the variation of \({\dfrac{1}{\lambda^2}}\) with the kinetic energy \(E\) (where \(\lambda\) is the de-Broglie wavelength of a free particle) is:
1. 2.
3. 4.

Subtopic:  De-broglie Wavelength |
 55%
Level 3: 35%-60%
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An unpolarised light beam strikes a glass surface at Brewster's angle. Then:
1. The refracted light will be completely polarised.
2. Both the reflected and refracted light will be completely polarised.
3. The reflected light will be completely polarised but the refracted light will be partially polarised.
4. The reflected light will be partially polarised.
Subtopic:  Polarization of Light |
 69%
Level 2: 60%+
NEET - 2024
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At any instant of time \(t,\) the displacement of any particle is given by \(2t-1\) (SI unit) under the influence of the force of \(5~\text N.\) The value of instantaneous power (in SI units) is:
1. \(5\) 2. \(7\)
3. \(6\) 4. \(10\)
Subtopic:  Power |
 72%
Level 2: 60%+
NEET - 2024
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A tightly wound \(100\) turns coil of radius \(10~\text{cm}\) carries a current of \(7~\text A\). The magnitude of the magnetic field at the centre of the coil is: (Take permeability of free space as \(​4 \pi \times 10^{-7​}\)SI units):
1. \(4.4~\text T\)
2. \(4.4~\text {mT}\)
3. \(44~\text T\)
4. \(44~\text {mT}\)
Subtopic:  Magnetic Field due to various cases |
 70%
Level 2: 60%+
NEET - 2024
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The moment of inertia of a thin rod about an axis passing through its mid-point and perpendicular to the rod is \(2400 ~\text{g cm}^2.\) The length of the \(400~\text{g}\) rod is nearly:
1. \(17.5~\text{cm}\)
2. \(20.7~\text{cm}\)
3. \(72.0~\text{cm}\)
4. \(8.5~\text{cm}\)
Subtopic:  Moment of Inertia |
 62%
Level 2: 60%+
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A bob is whirled in a horizontal plane by means of a string with an initial speed of \(\omega\) rpm. The tension in the string is \(T\). If speed becomes \(2\omega\) while keeping the same radius, the tension in the string becomes:
1. \(4 T\) 2. \(\dfrac{T}{4}\)
3. \(\sqrt{2} T\) 4. \(T\)
Subtopic:  Uniform Circular Motion |
 64%
Level 2: 60%+
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Match List-I with List-II.
List-I
Material
List-II
Susceptibility \((\chi)\)
\(\mathrm{(A)}\) Diamagnetic \(\mathrm{(I)}\) \(\chi=0\)
\(\mathrm{(B)}\) Ferromagnetic \(\mathrm{(II)}\) \(0>\chi\geq-1\)
\(\mathrm{(C)}\) Paramagnetic \(\mathrm{(III)}\) \(\chi\gg1\)
\(\mathrm{(D)}\) Non-magnetic \(\mathrm{(IV)}\) \(0<\chi<\varepsilon\) (a small positive number)
Choose the correct answer from the options given below:
1. \(\text{A-II, B-I, C-III, D-IV}\) 2. \(\text{A-III, B-II, C-I, D-IV}\)
3. \(\text{A-IV, B-III, C-II, D-I}\) 4. \(\text{A-II, B-III, C-IV, D-I}\)
Subtopic:  Magnetic Materials |
 67%
Level 2: 60%+
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In the following circuit, the equivalent capacitance between terminal \(A\) and terminal \(B\) is:
                   
1. \(1~\mu\text F\)
2. \(0.5~\mu\text F\)
3. \(4~\mu\text F\)
4. \(2~\mu\text F\)
Subtopic:  Combination of Capacitors |
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Level 2: 60%+
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A horizontal force \(10~\text N\) is applied to a block \(A\) as shown in figure. The mass of blocks \(A\) and \(B\) are \(2~\text{kg}\) and \(3~\text{kg}\), respectively. The blocks slide over a frictionless surface. The force exerted by block \(A\) on block \(B\) is :

1. \(4~\text N\)
2. \(6~\text N\)
3. \(10~\text N\)
4. zero
Subtopic:  Application of Laws |
 69%
Level 2: 60%+
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\({ }_{82}^{290} X \xrightarrow{\alpha} Y \xrightarrow{e^{+}} Z \xrightarrow{\beta^{-}} P \xrightarrow{e^{-}} Q\)
In the nuclear emission stated above, the mass number and atomic number of the product \(Q\) respectively, are:
1. \(286,80\)
2. \(288,82\)
3. \(286,81\)
4. \(280,81\)
Subtopic:  Types of Decay |
 67%
Level 2: 60%+
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