The internal resistance of a \(2.1~\text{V}\) cell which gives a current of \(0.2~\text{A}\) through a resistance of \(10~\Omega\) is:
| 1. | \(0.5~\Omega\) | 2. | \(0.8~\Omega\) |
| 3. | \(1.0~\Omega\) | 4. | \(0.2~\Omega\) |
Subtopic: EMF & Terminal Voltage |
85%
Level 1: 80%+
AIPMT - 2013
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A current loop in a magnetic field:
| 1. | can be in equilibrium in one orientation |
| 2. | can be in equilibrium in two orientations, both the equilibrium states are unstable |
| 3. | can be in equilibrium in two orientations, one stable while the other is unstable |
| 4. | experiences a torque whether the field is uniform or non-uniform in all orientations |
Subtopic: Current Carrying Loop: Force & Torque |
76%
Level 2: 60%+
AIPMT - 2013
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The wavelength \(\lambda_e\) of an electron and \(\lambda_p\) of a photon of the same energy \(E\) are related by:
1. \(\lambda_p \propto \lambda_e\)
2. \(\lambda_p \propto \sqrt{\lambda_e}\)
3. \(\lambda_p \propto \frac{1}{\sqrt{\lambda_e}}\)
4. \(\lambda_p \propto \lambda_e^2\)
1. \(\lambda_p \propto \lambda_e\)
2. \(\lambda_p \propto \sqrt{\lambda_e}\)
3. \(\lambda_p \propto \frac{1}{\sqrt{\lambda_e}}\)
4. \(\lambda_p \propto \lambda_e^2\)
Subtopic: De-broglie Wavelength |
61%
Level 2: 60%+
AIPMT - 2013
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The half-life of a radioactive isotope \(X\) is \(20\) years. It decays to another element \(Y\) which is stable. The two elements \(X\) and \(Y\) were found to be in the ratio \(1:7\) in a sample of a given rock. The age of the rock is estimated to be:
1. \(60\) years
2. \(80\) years
3. \(100\) years
4. \(40\) years
2. \(80\) years
3. \(100\) years
4. \(40\) years
82%
Level 1: 80%+
AIPMT - 2013
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The resistances of the four arms \(P,Q,R~\text{and}~S\) in a Wheatstone’s bridge are \(10~\Omega,30~\Omega,30~\Omega\) and \(90~\Omega\) respectively. The emf and internal resistance of the cell are \(7~\text{V}\) and \(5~\Omega\) respectively. If the galvanometer resistance is \(50~\Omega\) the current drawn from the cell will be:
| 1. | \(0.2~\text{A}\) | 2. | \(0.1~\text{A}\) |
| 3. | \(2.0~\text{A}\) | 4. | \(1.0~\text{A}\) |
Subtopic: Wheatstone Bridge |
78%
Level 2: 60%+
AIPMT - 2013
Hints
Links
In the given \({(V\text{-}T)}\) diagram, what is the relation between pressure \({P_1}\) and \({P_2}\)?
| 1. | \(P_2>P_1\) | 2. | \(P_2<P_1\) |
| 3. | cannot be predicted | 4. | \(P_2=P_1\) |
Subtopic: Ideal Gas Equation |
84%
Level 1: 80%+
AIPMT - 2013
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The molar specific heats of an ideal gas at constant pressure and volume are denoted by \(C_P\) and \(C_V,\) respectively. If \(\gamma =\frac{C_P}{C_V}\) and \(R\) is the universal gas constant, then \(C_V\) is equal to:
| 1. | \(\dfrac{R}{\gamma -1}\) | 2. | \(\dfrac{\gamma -1}{R}\) |
| 3. | \(\gamma R \) | 4. | \(\dfrac{\left ( \gamma -1 \right )R}{\left ( \gamma +1 \right )}\) |
Subtopic: Molar Specific Heat |
89%
Level 1: 80%+
AIPMT - 2013
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The amount of heat energy required to raise the temperature of \(1\) g of Helium at NTP, from \({T_1}\) K to \({T_2}\) K is:
| 1. | \(\dfrac{3}{2}N_ak_B(T_2-T_1)\) | 2. | \(\dfrac{3}{4}N_ak_B(T_2-T_1)\) |
| 3. | \(\dfrac{3}{4}N_ak_B\frac{T_2}{T_1}\) | 4. | \(\dfrac{3}{8}N_ak_B(T_2-T_1)\) |
Subtopic: Specific Heat |
53%
Level 3: 35%-60%
AIPMT - 2013
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A plano-convex lens fits exactly into a plano-concave lens. Their plane surfaces are parallel to each other. If lenses are made of different materials of refractive indices \(\mu_1\) and \(\mu_2\) and \(R\) is the radius of curvature of the curved surface of the lenses, then the focal length of the combination is:
| 1. | \(\dfrac{R}{2(\mu_1-\mu_2)}\) | 2. | \(\dfrac{R}{(\mu_1-\mu_2)}\) |
| 3. | \(\dfrac{2R}{(\mu_2-\mu_1)}\) | 4. | \(\dfrac{R}{2(\mu_1+\mu_2)}\) |
Subtopic: Lens Makers' Formula |
69%
Level 2: 60%+
AIPMT - 2013
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During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of \(\frac{C_P}{C_V}\) for the gas is:
1. \(2\)
2. \(5/3\)
3. \(3/2\)
4. \(4/3\)
1. \(2\)
2. \(5/3\)
3. \(3/2\)
4. \(4/3\)
Subtopic: Types of Processes |
71%
Level 2: 60%+
AIPMT - 2013
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