Question 1 : Two beams of protons moving parallel in same direction will :

Question 2 : A charged particle with charge $q$enters a regionof constant uniform and mutually orthogonal fields$\vec{E}$ and $\vec{B}$with a velocity $\vec{v}$ perpendicular to both$\vec{E}$ and $\vec{B}$ and comes out without any change in magnitude and direction of $\vec{v}$. Then,<br>

Question 3 : Ina moving coil galvanometer, deflection of thecoil is related to the electrical current $i$bytherelation<br>

Question 4 : <strong>A galvanometer in series with a high resistance is called </strong><br>

Question 5 : Two long thin parallel conductor are kept very close to each other without&#160; touching. One carries a current $i$ and the other has charge $\lambda$ per unit length. An electron moving parallel to the conductor is undeflected. lf &#160;$c$ is the velocity of light. then :<br/>

Question 6 : A coil carrying current '$I$' has radius '$r$' and number of turns '$n$'. It is rewound so that radius of new coil is '$\dfrac{r}{4}$' and it carries current '$I$'. The ratio of magnetic moment of new coil to that of original coil is

Question 7 : In a potentiometer experiment, it is found that no current passes through the galvanometer when the terminals of the cell are connected across $52$cm of the potentiometer wire. If the cell is shunted by a resistance of $5\Omega$, a balance is found when the cell is connected across $40$cm of the wire. Find the internal resistance of the cell.

Question 9 : The temperature coefficient of resistance of a wire is&#160;$\displaystyle { 0.00125 }/{ ^{ \circ &#160;}{ C } }$. Its resistance is&#160;$\displaystyle 1\Omega $ at $300\ K$. Its resistance will be&#160;$\displaystyle 2\ \Omega$ at:

Question 10 : Two unknown resistances are connected in two gaps of a meter-bridge. The null point is obtained at $40\ cm$ from left end. A $30\Omega$ resistance is connected in series with the smaller of the two resistances, the null point shifts by $20\ cm$ to the right end. The value of smaller resistance in $\Omega$ is

Question 11 : <p>Copper has one conduction electron per atom. Its density is $8.89{ g }/{ m^3}$&#160;and its atomic mass is 63.54 g/mol.&#160;lf a copper wire of diameter 1.0 mm carries a current of 2.0 A. What is the drift speed of the electrons in the wire?</p>

Question 14 : The ratio of magnetic fields due to a bar magnet at the two axial points $P_1$ and $P_2$ which are separated from each other by $10$cm is $25:2$. Point $P_1$ is situated at $10$cm from the centre of the magnet.Points $P_1 $and $ P_2$ are on the same side of magnet and distance of $P_2$ from the centre is greater than distance of $P_1$ from the centre of magnet,then magnetic length is

Question 15 : Dip circle is not set into magnetic meridian and the angle at which it is inclined to the magnetic meridian is unknown. $\delta'$ and $\delta''$ are apparent dips at a place in which dip circle is kept in transverse positions. The dip is:

Question 16 : The tangent drawn at any point on the magnetic lines of force gives direction of mangetic field at that point.<br/>

Question 17 : The magnetic field at a point $x$ on the axis of a small bar magnet is equal to the field at a point $y$ on the equator of the same magnet. The ratio of the distance of $x$ and $y$ from the centre of the magnet is?

Question 18 : An electric charge $10^{-3}\mu C$ is placed at the origin (0, 0) of X-Y co-ordinate system. Two points A and B are situated at $(\sqrt 2, \sqrt 2)$ and (2, 0) respectively. The potential difference between the points A and B will be :<br/>

Question 19 : At the moment $t=0$, an electron leaves one plate of a parallel-plate condenser with a negligible velocity. An accelerating voltage varying as $V=at$, where $a$ is a constant is applied between the plates. The separation between the plates is $l$. The velocity of the electron at the moment it reaches the opposite plate will be :<br/>

Question 20 : Given that $E = ((3x^2<br><br> + y) \hat i+ x \hat y) kV/m$,find the work done in moving a $- 2 \mu C$ charge from $(0, 5, 0)$ to $(2, -1 , 0)$ by taking the path:<br>$y=5-3x$

Question 21 : A parallel plate capacitor is charged and then disconnected from the source of potential difference. If the plates of the condenser are then moved further apart by the use of an insulated handle, which of the following are true?<br/>

Question 22 : A fully charged capacitors has a capacitance $'C'$. It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity $s$ and mass $m$. If the temperature of the block is raised by $\Delta T$, the potential difference $V$ across the capacitor is :<br/>

Question 23 : $15$ joule of work has to be done to take a charge of $0.01 C $ from $A$ to $B$ . The potential difference $(V_B - V_A)$ is

Question 24 : An air cored solenoid with length 20 cm, area of cross section is 20 $cm^2$ and the number of turns 400 carries a current 2 A. The current is suddenly switched off within $10^{-3}$ sec. The average back emf induced across the end of the open switch in the circuit is ( ignore variation in magnetic field near the end of the solenoid)

Question 25 : Assertion : Lenz's Law violates the principle ofconservation of energy<br>Reason : Induced emf always opposes thechange in magnetic flux responsible for itsproduction.<br>

Question 27 : A series LCR circuit is connected across a source of alternating emf of changing frequency and resonates at frequency $\text{f}_o$. Keeping capacitance constant, if the inductance (L) is increased by $\sqrt{3}$ times and resistance(R) is increased&#160; by&#160;1.4 times, the resonant frequency now is: <br/>

Question 28 : In an a.c. circuit, containing an inductance and a capacitor in series, the current is found to be maximum when the value of inductance is 0.5henry and of capacitance is 8F. The angular frequency of the input A.C. Voltage must be equal to

Question 29 : Which of the following combination should be selected for better turning of an L.C.R circuit used for communication?

Question 30 : A point charge +q is placed at the centre of a cube of side L. The electric flux emerging from the cube is-

Question 31 : Find the electric field at a distance $x$ from the centreinside the shell.

Question 32 : Charges $Q_1$ and $Q_2$ are placed inside and outside respectively of an uncharged conducting shell. Their seperation is r.

Question 33 : A system consists of a thin charged wire ring of radius r and a very long uniformly charged wire oriented along the axis of the ring, with one of its ends coinciding with the center of the ring. The total charge on the ring is q, and the linear charge density on the straight wire is $\lambda$. The interaction force between the ring and the wire is :

Question 34 : The electric field in a region is $E = \displaystyle \frac{5\times 10^3 x}{2}\hat{i} \ NC^{-1} cm^{-1} $. The charge contained inside a cubical volume bounded by the surfaces $x = 0, x = 1, y = 0, y = 1, z = 0, z = 1$ is (where x, y, z are in cm) :

Question 35 : The electric field at a point $2$cm from an infinite line charge of linear charge density $10^{-7}$ $cm^{-1}$ is?