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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 \(7~\text{volt}\) 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. \(1.0~\text{A}\)

2. \(0.1~\text{A}\)

3. \(2.0~\text{A}\)

4. \(1.0~\text{A}\)

Subtopic: Wheatstone Bridge |

76%

From NCERT

AIPMT - 2013

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If the voltage across a bulb rated \((220~\text{V}\text-100~\text{W})\) drops by \(2.5\%\) of its rated value, the percentage of the rated value by which the power would decrease is:

1. \(20\%\)

2. \(2.5\%\)

3. \(5\%\)

4. \(10\%\)

Subtopic: Heating Effects of Current |

77%

From NCERT

AIPMT - 2012

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Given below two statements:

Statement I: |
Kirchhoff’s junction law follows the conservation of charge. |

Statement II: |
Kirchhoff’s loop law follows the conservation of energy. |

1. | Both Statement I and Statement II are incorrect. |

2. | Statement I is correct but Statement II is incorrect. |

3. | Statement I is incorrect and Statement II is correct. |

4. | Both Statement I and Statement II are correct. |

Subtopic: Kirchoff's Current Law |

82%

From NCERT

AIPMT - 2010

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A wire of resistance \(12~ \Omega \text{m}^{-1}\)${\mathrm{}}^{}$ is bent to form a complete circle of radius \(10~\text{cm}\). The resistance between its two diametrically opposite points, \(A\) and \(B\) as shown in the figure, is:

1. | \(0.6\pi~\Omega\) | 2. | \(3\pi ~\Omega\) |

3. | \(61 \pi~ \Omega\) | 4. | \(6\pi~\Omega\) |

Subtopic: Combination of Resistors |

66%

From NCERT

AIPMT - 2009

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A student measures the terminal potential difference \(V\) of a cell (of emf \( E\) and internal resistance \(R\)) as a function of the current \(I\) flowing through it. The slope and intercept of the graph between \(V\) and \(I\), respectively, is equal to:

1. \(E\) and \(-r\)

2. \(-r\) and \(E\)

2. \(-r\) and \(E\)

3. \(r\) and \(-E\)

4. \(-E\) and \(r\)

Subtopic: EMF & Terminal Voltage |

69%

From NCERT

AIPMT - 2009

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The total power dissipated in watts in the circuit shown below is:

1. | \(16\) W | 2. | \(40\) W |

3. | \(54\) W | 4. | \(4\) W |

Subtopic: Heating Effects of Current |

87%

From NCERT

AIPMT - 2007

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The current in a wire varies with time according to the equation \(I=(4+2t),\) where \(I\) is in ampere and \(t\) is in seconds. The quantity of charge which has passed through a cross-section of the wire during the time \(t=2\) s to \(t=6\) s will be:

1. | \(60\) C | 2. | \(24\) C |

3. | \(48\) C | 4. | \(30\) C |

Subtopic: Current & Current Density |

83%

From NCERT

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The Wheatstone bridge shown in the figure below is balanced when the uniform slide wire \(AB\) is divided as shown. Value of the resistance \(X\) is:

1. \(3~\Omega\)

2. \(4~\Omega\)

3. \(2~\Omega\)

4. \(7~\Omega\)

Subtopic: Meter Bridge & Potentiometer |

89%

From NCERT

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A potentiometer wire of length \(L\) and a resistance \(r\) are connected in series with a battery of EMF \(E_{0 }\) and resistance \(r_{1}\). An unknown EMF is balanced at a length l of the potentiometer wire. The EMF \(E\) will be given by:

1. \(\frac{L E_{0} r}{l r_{1}}\)

2. \(\frac{E_{0} r}{\left(\right. r + r_{1} \left.\right)} \cdot \frac{l}{L}\)

3. \(\frac{E_{0} l}{L}\)

4. \(\frac{L E_{0} r}{\left(\right. r + r_{1} \left.\right) l}\)

Subtopic: Meter Bridge & Potentiometer |

76%

From NCERT

NEET - 2015

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The charge flowing through a resistance \(R\) varies with time \(t\) as \(Q=at-bt^2,\) where \(a\) and \(b\) are positive constants. The total heat produced in \(R\) is:

1. | \(\dfrac{a^3R}{3b}\) | 2. | \(\dfrac{a^3R}{2b}\) |

3. | \(\dfrac{a^3R}{b}\) | 4. | \(\dfrac{a^3R}{6b}\) |

Subtopic: Heating Effects of Current |

56%

From NCERT

NEET - 2016

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