A photon and an electron, each of \(20~\text{eV}\) energy, move in free space. The ratio of the linear momentum of electron \(p_\mathrm{e}\) to that of photon \(p_\mathrm{ph},\) \(\dfrac {p_\mathrm{e}}{p_\mathrm{ph}}\)is:
(take speed of light \(=3\times10^8~\text{ms}^{-1}, \) charge of electron \(=-1.6\times 10^{-19}~\text{C}\) and mass of electron \(=9 \times 10^{-31}~\text{kg}\))
(take speed of light \(=3\times10^8~\text{ms}^{-1}, \) charge of electron \(=-1.6\times 10^{-19}~\text{C}\) and mass of electron \(=9 \times 10^{-31}~\text{kg}\))
| 1. | \(275\) | 2. | \(\dfrac {2 } {450}\) |
| 3. | \(\dfrac {1} {250}\) | 4. | \(225\) |
Subtopic: Particle Nature of Light |
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Level 3: 35%-60%
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Water flows in a streamline motion through a horizontal pipe of circular cross-section, as shown in the figure. The pressure difference of water between \(P\) and \(Q\) is \(15~\text{Nm}^{-2}.\) The areas of cross-section at \(P\) and \(Q\) are \(40~\text{cm}^2\) and \(20~\text{cm}^2,\) respectively. The rate of flow of water through the pipe, in \(\text{cm}^{3} \text{s}^{-1},\) is:
(take the density of water\(=1000~\text{kg}~\text{m}^{-3}\))
(take the density of water\(=1000~\text{kg}~\text{m}^{-3}\))
| 1. | \(400\) | 2. | \(100\) |
| 3. | \(200\) | 4. | \(300\) |
Subtopic: Bernoulli's Theorem |
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A thin horizontal disc is rotating about a vertical axis passing through its fixed centre \(O.\) Its angular momentum is \(L_A\) and \(L_B\) computed about points \(A\) and \(B,\) respectively, with \(OB =2 \times OA.\) The value of \(\dfrac{L_A}{L_B}\) is:
| 1. | \(2\) | 2. | \(\dfrac{1}{4}\) |
| 3. | \(\dfrac{1}{2}\) | 4. | \(1\) |
Subtopic: Angular Momentum |
Level 4: Below 35%
NEET - 2026
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Consider a long solenoid of length \(l\) and radius \(r.\) If \(n\) is the number of turns per unit length and \( \mu_0 \) is the permeability of free space, the inductance of the solenoid is:
1. \(2\mu_0 \pi n^2 r^2 l\)
2. \(\mu_0 \pi n^2 r^2 l\)
3. \(\mu_0 n^2 r^2 l\)
4. \((\mu_0/2 \pi)n^2r^2l\)
1. \(2\mu_0 \pi n^2 r^2 l\)
2. \(\mu_0 \pi n^2 r^2 l\)
3. \(\mu_0 n^2 r^2 l\)
4. \((\mu_0/2 \pi)n^2r^2l\)
Subtopic: Self - Inductance |
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The temperature of a metallic sphere of radius \(R\) is increased by a small amount \(\Delta T.\) If the linear coefficient of thermal expansion of the metal is \(\alpha,\) the approximate increase in the volume of the sphere is:
1. \(6\pi R^3 \alpha \Delta T\)
2. \(2\pi R^3 \alpha \Delta T\)
3. \(3\pi R^3 \alpha \Delta T\)
4. \(4\pi R^3 \alpha \Delta T\)
1. \(6\pi R^3 \alpha \Delta T\)
2. \(2\pi R^3 \alpha \Delta T\)
3. \(3\pi R^3 \alpha \Delta T\)
4. \(4\pi R^3 \alpha \Delta T\)
Subtopic: Thermal Expansion |
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Consider two circuits, \((\mathrm{A})\) and \((\mathrm{B}),\) each having two resistors. One of them has a positive temperature coefficient of resistance, \(+\alpha\), while the other one has a negative temperature coefficient of coefficient, \(-\alpha\), as shown in the figure. The current through these circuits are denoted by \(I_A\) and \(I_B\). At the initial temperature, the resistance of the two resistors is \(R_0.\) As the temperature is increased, the correct option that describes the variation of current in these circuits is:
1. both \(I_A\) and \(I_B\) remain constant
2. \(I_A\) remains constant while \(I_B\) increases
3. \(I_A\) decreases while \(I_B\) increases
4. \(I_A\) increases while \(I_B\) decreases
1. both \(I_A\) and \(I_B\) remain constant
2. \(I_A\) remains constant while \(I_B\) increases
3. \(I_A\) decreases while \(I_B\) increases
4. \(I_A\) increases while \(I_B\) decreases
Subtopic: Derivation of Ohm's Law |
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A beam of light falls on a metal surface such that photo-electrons are generated. If the power of the light source starts to decrease linearly with time \(t,\) then the variation of the photocurrent \(I\) and magnitude of the stopping potential \(|V|\) with time is best represented by:
| 1. |  |
| 2. |  |
| 3. |  |
| 4. |  |
Subtopic: Photoelectric Effect: Experiment |
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An ideal Zener diode with a breakdown voltage of \(-3~\text{V}\) is reverse-biased with a negative input voltage \(V_i=-5~\text{V}.\) The magnitude of the voltage difference between points \(B\) and \(A\) is:
1. \(0\) V
2. \(3\) V
3. \(2\) V
4. \(1\) V
1. \(0\) V
2. \(3\) V
3. \(2\) V
4. \(1\) V
Subtopic: Applications of PN junction |
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In the measurement of the viscosity of liquids using the terminal velocity experiment, spherical balls of the same radius but having different densities are used. The variation of the terminal velocity \((v)\) with the ratio of the density of the spherical ball \((\sigma)\) to the density of the liquid \((\rho),\) is best represented by:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Viscosity |
Level 3: 35%-60%
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Two planets \(P_1\) and \(P_2\) with equal mass have radii \(R_1\) and \(R_2,\) respectively, where \(R_2=\dfrac{R_1}{2}.\) The escape speeds of \(P_1\) and \(P_2 \) are \(v_1\) and \(v_2,\) respectively. Then \(\dfrac {v_2}{v_1}\) is:
| 1. | \(2\) | 2. | \( \dfrac{1}{\sqrt{2}}\) |
| 3. | \(1\) | 4. | \(\sqrt{2}\) |
Subtopic: Escape velocity |
67%
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