# 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. $$1.0~\text{A}$$

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 $$12~ \Omega \text{m}^{-1}$$${}^{}$ 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 $$E$$
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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