A thin spherical shell is charged by some source. The potential difference between the two points \(C\) and \(P\) (in V) shown in the figure is:
( Take \(\dfrac{1}{4 \pi \epsilon_0}=9 \times 10^9\) SI units)
1.
\(1 \times 10^5\)
2.
\(0.5 \times 10^5\)
3.
\(\text{zero}\)
4.
\(3 \times 10^5\)
Subtopic: Electric Potential |
69%
Level 2: 60%+
NEET - 2024
Hints
A planet has a mass equal to \(\left ( \dfrac{1}{10} \right )^{\mathrm{th}} \) of Earth's mass and a diameter equal to half of Earth's diameter. The acceleration due to gravity on this planet is:
| 1. | \(9.8 ~\text{ms}^{-2}\) | 2. | \(4.9 ~\text{ms}^{-2}\) |
| 3. | \(3.92 ~\text{ms}^{-2}\) | 4. | \(19.6~\text{ms}^{-2}\) |
Subtopic: Acceleration due to Gravity |
67%
Level 2: 60%+
NEET - 2024
Hints
The minimum energy required to launch a satellite of mass \(m\) from the surface of the earth of mass \(M\) and radius \(R\) in a circular orbit at an altitude of \(2R\) from the surface of the earth is:
| 1. | \(\frac{2 G m M}{3 R} \) | 2. | \(\frac{G m M}{2 R} \) |
| 3. | \(\frac{G m M}{3 R} \) | 4. | \( \frac{5 G m M}{6 R}\) |
Subtopic: Satellite |
Level 3: 35%-60%
NEET - 2024
Hints
A small telescope has an objective of focal length \(140~\text{cm}\) and an eyepiece of focal length \(5.0~\text{cm}.\) The magnifying power of the telescope for viewing a distant object is:
1. \(28\)
2. \(17\)
3. \(32\)
4. \(34\)
1. \(28\)
2. \(17\)
3. \(32\)
4. \(34\)
Subtopic: Telescope |
76%
Level 2: 60%+
NEET - 2024
Hints
The velocity \((v)\)-time \((t)\) plot of the motion of a body is shown below:
The acceleration \((a)\)-time \((t)\) graph that best suits this motion is:
The acceleration \((a)\)-time \((t)\) graph that best suits this motion is:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Graphs |
77%
Level 2: 60%+
NEET - 2024
Hints
Two heaters \(\mathrm{A}\) and \(\mathrm{B}\) have power rating of \(1~\text{kW}\) and \(2~\text{kW}\), respectively. Those two are first connected in series and then in parallel to a fixed power source. The ratio of power outputs for these two cases is:
1. \(2:9\)
2. \(1:2\)
3. \(2:3\)
4. \(1:1\)
1. \(2:9\)
2. \(1:2\)
3. \(2:3\)
4. \(1:1\)
Subtopic: Heating Effects of Current |
61%
Level 2: 60%+
NEET - 2024
Hints
A force defined by; \(F = \alpha t^2 + \beta t\) acts on a particle at a given time \(t.\) The factor which is dimensionless, if \(\alpha\) and \(\beta\) are constants, is:
| 1. | \(\alpha t / \beta \) | 2. | \(\alpha \beta t \) |
| 3. | \(\alpha \beta / t \) | 4. | \(\beta t / \alpha\) |
Subtopic: Dimensions |
66%
Level 2: 60%+
NEET - 2024
Hints
A \(10~\mu\text F\) capacitor is connected to a \(210~\text V,50~\text{Hz}\) source as shown in the figure. The peak current in the circuit is nearly \((\pi = 3.14)\):
| 1. | \(0.93~\text A\) | 2. | \(1.20~\text A\) |
| 3. | \(0.35~\text A\) | 4. | \(0.58~\text A\) |
Subtopic: RMS & Average Values |
56%
Level 3: 35%-60%
NEET - 2024
Hints
A metallic bar of Young's modulus \(0.5 \times 10^{11}~\text{Nm}^{-2},\) coefficient of linear thermal expansion \(10^{-5} ~^{\circ}\text{C}^{-1},\) length \(1~\text m\) and cross-sectional area \(10^{-3} ~\text{m}^2\) is heated from \(0^\circ \text{C}\) to \(100^\circ \text C\) without expansion or bending. The compressive force developed in the metallic bar is:
| 1. | \(50 \times 10^3~ \text N\) | 2. | \(100 \times 10^3 ~\text N\) |
| 3. | \(2 \times 10^3~\text N\) | 4. | \(5 \times 10^3 ~\text N\) |
Subtopic: Thermal Stress |
72%
Level 2: 60%+
NEET - 2024
Hints
A parallel plate capacitor is charged by connecting it to a battery through a resistor. If \(i\) is the current in the circuit, then in the gap between the plates:
| 1. | A displacement current of magnitude equal to \(i\) flows in the same direction as \(i.\) |
| 2. | A displacement current of magnitude equal to \(i\) flows in the opposite direction to \(i.\) |
| 3. | A displacement current of magnitude greater than \(i\) flows but it can be in any direction. |
| 4. | There is no current. |
Subtopic: Displacement Current |
63%
Level 2: 60%+
NEET - 2024
Hints
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