The equivalent capacitance of the circuit is:
| 1. | \(200~\text{pF}\) | 2. | \(\dfrac{200}{3}~\text{pF}\) |
| 3. | \(200~\mu\text{F}\) | 4. | \(150~\text{pF}\) |
Subtopic: Combination of Capacitors |
79%
Level 2: 60%+
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The equivalent capacitance of the circuit between the points \(A~\text{and}~B\) is equal to:
1. \(2C\)
2. \(\dfrac{3C}{2}\)
3. \(3C\)
4. \(\dfrac{5C}{2}\)
1. \(2C\)
2. \(\dfrac{3C}{2}\)
3. \(3C\)
4. \(\dfrac{5C}{2}\)
Subtopic: Combination of Capacitors |
65%
Level 2: 60%+
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\(N\) capacitances, \(C\) each, are available to be connected in series or in parallel. The ratio of the minimum \((C_\text{min})\) and maximum \((C_\text{max})\) capacitance that can be formed from these is \(\dfrac{C_\text{max}}{C_\text{min}}=\)
1. \(N\)
2. \(N^2\)
3. \(N^3\)
4. \(\sqrt N\)
1. \(N\)
2. \(N^2\)
3. \(N^3\)
4. \(\sqrt N\)
Subtopic: Combination of Capacitors |
89%
Level 1: 80%+
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A long cylindrical volume contains a uniformly distributed charge of density \(\rho ~\text{cm}^{-3}\). The electric field inside the cylindrical volume at a distance \(x = { \dfrac {2 \varepsilon_0} {\rho}} \) m from its axis is:
| 1. | \(1~\text{Vm}^{-1}\) | 2. | \(2~\text{Vm}^{-1}\) |
| 3. | \(3~\text{Vm}^{-1}\) | 4. | \(4~\text{Vm}^{-1}\) |
Subtopic: Gauss's Law |
56%
Level 3: 35%-60%
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Two point charges \({-q}\) and \({+q}\) are placed at a distance of \({L},\) as shown in the figure.
The magnitude of electric field intensity at a distance \({R}~(R \gg L )\) varies as:
The magnitude of electric field intensity at a distance \({R}~(R \gg L )\) varies as:
| 1. | \(\dfrac{1}{{R}^{6}}\) | 2. | \(\dfrac{1}{{R}^{2}}\) |
| 3. | \(\dfrac{1}{{R}^{3}}\) | 4. | \(\dfrac{1}{{R}^{4}}\) |
Subtopic: Electric Dipole |
71%
Level 2: 60%+
NEET - 2022
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\(ABC\) is an equilateral triangle. Charges \(+q\) are placed at each corner. The electric intensity at \(O\) will be:
| 1. | \(\dfrac{1}{4\pi\epsilon _0}\dfrac{q}{r^{2}}\) | 2. | \(\dfrac{1}{4\pi\epsilon _0}\dfrac{q}{r^{}}\) |
| 3. | zero | 4. | \(\dfrac{1}{4\pi\epsilon _0}\dfrac{3q}{r^{2}}\) |
Subtopic: Electric Field |
88%
Level 1: 80%+
PMT - 1985
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A rocket is launched vertically from the surface of the Earth. As it leaves the launch pad, the total mass of the rocket and its contents is \(m\). The gravitational field strength at the Earth's surface is \(g\). The rocket motor provides an upward vertical thrust \(T\) to the rocket.
What is the initial vertical acceleration of the rocket as it leaves the launch pad?
What is the initial vertical acceleration of the rocket as it leaves the launch pad?
| 1. | \(\dfrac {T}{m} -g\) | 2. | \(mg\) |
| 3. | \(\dfrac {T}{m}\) | 4. | \(\dfrac {T}{m} -mg\) |
Subtopic: Newton's Laws |
80%
Level 1: 80%+
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A block of mass \(5\) kg requires a minimum horizontal force of \(20\) N to cause it to move. Take \(g=10\) m/s2. Let \(\mu_s\) be the coefficient of static friction, and \(\mu\small{_ k}\) be that of kinetic friction.
1. \(\mu_s=0.4\)
2. \(\mu_s=\mu{\small_k}=0.4\)
3. \(\mu{\small_ k}=0.4\)
4. \(\mu_s\geq0.4\)
1. \(\mu_s=0.4\)
2. \(\mu_s=\mu{\small_k}=0.4\)
3. \(\mu{\small_ k}=0.4\)
4. \(\mu_s\geq0.4\)
Subtopic: Friction |
53%
Level 3: 35%-60%
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A bullet of mass \(10\) g is fired from a gun (mass of \(10\) kg without a bullet) with a speed of \(100\) m/s. The recoil speed of the gun is:
| 1. | \(\dfrac{1}{10}\) m/s | 2. | \(\dfrac{1}{5}\) m/s |
| 3. | \(\dfrac{5}{2}\) m/s | 4. | \(\dfrac{2}{5}\) m/s |
Subtopic: Newton's Laws |
88%
Level 1: 80%+
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A force of \(30\) N is applied on a block of mass \(5\) kg. the block travels a distance of \(50\) m in \(10\) s starting from rest. The coefficient of friction is:
| 1. | \(0.5\) | 2. | \(0.7\) |
| 3. | \(0.3\) | 4. | \(0.8\) |
Subtopic: Friction |
76%
Level 2: 60%+
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