Tag: current electricity

Questions Related to current electricity

Two equal resistances are connected in the gaps of a meter bridge. If the resistance in the left gap is increased by $10\%$, the balancing point shift :

  1. $10\%$ to right

  2. $10\%$ to left

  3. $9.6\%$ to right

  4. $4.8\%$ to right


Correct Option: D
Explanation:
Let the Resistance be R,

Initially
$\dfrac{R}{R}  = \dfrac{l}{100-l}$
     $ \Rightarrow  l = 50 cm$
After 10% increase it is,

$ \Rightarrow  \dfrac{1.1R}{R} = \dfrac{l}{100-l}$

$ \Rightarrow  110  = 2.1 l$

$ \Rightarrow  l = \dfrac{110}{2.1} = 52.38$

$ \Rightarrow  \dfrac{\Delta l}{l} \times 100 = \dfrac{2.38}{50}\times 100  \approx 4.8$%

The balancing point in a meter bridge is 44 cm. If the resistances in the are  gaps are  inchanged   the new balance point is 

  1. 44 cm

  2. 56 cm

  3. 50 cm

  4. 22 cm


Correct Option: B
Explanation:

At balance position of meter bridge $=\dfrac{I}{{\left( {100 - I} \right)}}$ $=\frac{R}{S}$

Where $I$ is the balancing length$.$
So$,$ if value of $R$ and $S$ are inter changed the new $I$ limit will be $100-44=56$
Hence,
option $(B)$ is correct answer.

In a meter bridge setup, which of the following should be the properties of the one meter long wire?

  1. High resistivity and low temperature coefficient

  2. Low resistivity and low temperature coefficient

  3. Low resistivity and high temperature coefficient

  4. High resistivity and high temperature coefficient


Correct Option: A

A $6\Omega$ resistance is connected in the left gap of a meter bridge. In the second gap $3\Omega$ and $6\Omega$ are joined in parallel. The balance point of the bridge is at __

  1. $75cm$

  2. $60cm$

  3. $30cm$

  4. $25cm$


Correct Option: D

With a potentiometer null points were obtained at $140cm$ and $180cm$ for cells of emf $1.1V$ and one unknown $X$ volt. UNknown emf is: 

  1. $1.1V$

  2. $1.8V$

  3. $2.4V$

  4. $1.41V$


Correct Option: D

The length of a potentiometer wire is $l$ A cell of emf E is balanced at a length $\dfrac{l }{ 3}$ from the positive end of the wire. If the length of the wire is increased by $\dfrac{l} { 2}$.
At what distance will the same cell give a balance point?

  1. $

    \dfrac{2l}{3}

    $

  2. $

    \dfrac{l}{2}

    $

  3. $

    \dfrac{l}{6}

    $

  4. $

    \dfrac{4l}{3}

    $


Correct Option: B

In Wheatstone's bridge $  P=9  $ ohm, $  Q=11  $ ohm, $  R=4  $ ohm and $  S=6  $ ohm. How much resistance must be put in parallel to the resistance $  S  $ to balance the bridge

  1. $24 ohm$

  2. $ \frac{44}{9} ohm$

  3. $26.4 \mathrm{ohm} $

  4. $18.7 ohm$


Correct Option: C

In metre bridge experiment, with a standard resistance in the right gap and a resistance coil dipped in water (in a beaker) in the left gap, the balancing length obtained is 'l'. If the temperature of water is increased, the new balancing length is

  1. >l

  2. none

  3. =0

  4. =l


Correct Option: A
Explanation:

$\begin{array}{l} \frac { { { R _{ unknown } } } }{ { { R _{ s\tan  dard } } } } =\frac { l }{ { \left( { 1-l } \right)  } } . \ If\, \, temperature\, \, increases,\, \, resis\tan  ce\, \, increases. \end{array}$

Hence, Option $A$ is correct.

An electron is released from the origin at a place where a uniform electric field $\overrightarrow{E}$ and uniform magnetic field $\overrightarrow{B}$ exit along the negative y-axis and the negative z-axis respectively.

  1. At time $t$ the y-component of velocity of the electron becomes $u _y = \dfrac{E}{B}\sin \omega t$ where $\omega = \dfrac{eB}{m}$.

  2. At $t = \pi m / eB$ the electron will have only x-component of velocity.

  3. At $t = \dfrac{2\pi m}{3eB}$, the y-component of velocity becomes zero.

  4. The displacement along y-axis is $\dfrac{2Em}{eB^2}$ when the velocity of electron becomes perpendicular to the y-axis


Correct Option: A,B

Two wires of resistances X and Y are connected in left and a right gap respectively of a slide wire bridge of length 170cm. The null point is obtained at the center of the wire. Now, the wire X is given a shape of a ring and two diametrically opposite points are connected in the left gap. The wire Y is stretched to double of its original length and is connected in the right gap. Find the shift in the null point:

  1. 75 cm

  2. 10 cm

  3. 126 cm

  4. Zero


Correct Option: A