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NEET Part Test - 4 - Question 1

A and C are concentric conducting spherical shells of radius a and c respectively. A is surrounded by a concentric dielectric medium of inner radius a, outer radius b and dielectric constant K as shown in the figure. If sphere A is given a charge Q, the potential at the outer surface of the dielectric is.

Detailed Solution for NEET Part Test - 4 - Question 1

NEET Part Test - 4 - Question 2

In the given circuit the rms value of voltage across the capacitor C, inductor L and resister R_{1} are 12V, 10V and 5V respectively. Then the peak voltage across R_{2} is

Detailed Solution for NEET Part Test - 4 - Question 2

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NEET Part Test - 4 - Question 3

Two identical capacitors C_{1} and C_{2} are connected in series with a battery. They are fully charged. Now a dielectric slab is inserted between the plates of C_{2}. The potential difference across C_{1} will :

Detailed Solution for NEET Part Test - 4 - Question 3

NEET Part Test - 4 - Question 4

A solenoid having an iron core has its terminals connected across an ideal DC source. If the iron core is removed, the current flowing through the solenoid

Detailed Solution for NEET Part Test - 4 - Question 4

NEET Part Test - 4 - Question 5

An electric field ‘E’ whose direction is radially outward varies as distance from origin ‘r’ as shown in the graph. E is taken as positive if its direction is away from the origin. Then the work done by electric field on a 2 C charge if it is taken from (1, 1, 0) to (3, 0, 0) is

Detailed Solution for NEET Part Test - 4 - Question 5

NEET Part Test - 4 - Question 6

A negative test charge is moving near a long straight current carrying wire. A force will act on the test charge in a direction parallel to the direction of the current, if the motion of the charge is in a direction:

Detailed Solution for NEET Part Test - 4 - Question 6

NEET Part Test - 4 - Question 7

Potential difference between centre and the surface of sphere of radius R and having uniform volume charge density ρ within it will be :

Detailed Solution for NEET Part Test - 4 - Question 7

NEET Part Test - 4 - Question 8

The magnetic field at the origin due to the current flowing in the wire is

Detailed Solution for NEET Part Test - 4 - Question 8

NEET Part Test - 4 - Question 9

There exists a uniform electric field in the space as shown. Four points A, B, C and D are marked which are equidistant from the origin. If V_{A}, V_{B}, V_{C} and V_{D} are their potentials respectively, then

Detailed Solution for NEET Part Test - 4 - Question 9

NEET Part Test - 4 - Question 10

A current carrying wire AB of the length L is turned along a circle, as shown in figure. The magnetic field at the centre O.

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NEET Part Test - 4 - Question 11

Total electric force on an electric dipole placed in an electric field of a point charge is:

Detailed Solution for NEET Part Test - 4 - Question 11

NEET Part Test - 4 - Question 12

The magnitude of magnetic field at O (centre of the circular part) due to the current carrying coil as shown is :

Detailed Solution for NEET Part Test - 4 - Question 12

NEET Part Test - 4 - Question 13

Eight point charges (can be assumed as small spheres uniformly charged and their centres at the corner of the cube) having values q each are fixed at vertices of a cube. The electric flux through square surface ABCD of the cube is

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NEET Part Test - 4 - Question 14

A charged particle is moving in the region around a long current carrying wire. Due to wire, it may experience:

Detailed Solution for NEET Part Test - 4 - Question 14

NEET Part Test - 4 - Question 15

The figure shows a charge q placed inside a cavity in an uncharged conductor.

Now if an external electric field is switched on :

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NEET Part Test - 4 - Question 16

Two infinite sheets carrying current in same direction (of equal current per unit length K) are separated by a distance ‘d’. A proton is released from a point between the plates with a velocity parallel to the sheets but perpendicular to the direction of current in the sheets. Then the path of the proton is

Detailed Solution for NEET Part Test - 4 - Question 16

NEET Part Test - 4 - Question 17

Three large parallel charged conducting plates are placed at a small distance d apart from each other. The surface charge density on the face B of the conductor is +5.0 ε_{o} coulomb/m^{2} and that on face E is + 6.0 ε_{o} columb/m^{2}. Charges on other faces are not known. The electric field intensity at P (shown in the figure) between the plates is

Detailed Solution for NEET Part Test - 4 - Question 17

NEET Part Test - 4 - Question 18

A horizontal metallic rod of mass 'm' and length ' l ' is supported by two vertical identical springs of spring constant 'K' each and natural length l_{0}. A current ' i ' is flowing in the rod in the direction shown. If the rod is in equilibrium then the length of each spring in this state is:

Detailed Solution for NEET Part Test - 4 - Question 18

NEET Part Test - 4 - Question 19

A 150 m long metal wire connects points A and B. The electric potential at point B is 50 V less than that at point A. If the conductivity of the metal is 60 × 10^{6} mho/m, then magnitude of the current density in the wire is equal to :

Detailed Solution for NEET Part Test - 4 - Question 19

NEET Part Test - 4 - Question 20

A toroid of mean radius ' a ' , cross section radius ' r ' and total number of turns N. It carries a current ' i '. The torque experienced by the toroid if a uniform magnetic field of strength B is applied :

Detailed Solution for NEET Part Test - 4 - Question 20

Detailed Solution for NEET Part Test - 4 - Question 21

NEET Part Test - 4 - Question 22

As shown in figure, a permanent magnet and current carrying coil are placed. If the coil is moved towards magnet, then current in coil (Magnet is symmetrical) :

Detailed Solution for NEET Part Test - 4 - Question 22

Detailed Solution for NEET Part Test - 4 - Question 23

NEET Part Test - 4 - Question 24

A super conducting loop having an inductance 'L' is kept in a magnetic field which is varying with respect to time. If is the total flux, e = total induced emf, then:

Detailed Solution for NEET Part Test - 4 - Question 24

NEET Part Test - 4 - Question 25

A battery of internal resistance ' r ' and e.m.f. ε is connected to a variable external resistor AB. If the sliding contact is moved from A to B, then terminal potential difference of battery will :

Detailed Solution for NEET Part Test - 4 - Question 25

NEET Part Test - 4 - Question 26

Figure shows a conducting horizontal rod of resistance r is made to oscillate simple harmonically with a fixed amplitude in a uniform and constant magnetic field B, directed inwards. The ends of rod always touch two parallel fixed vertical conducting rails. The ends of rails are joined by an inductor and a capacitor having self inductance and capacitance 1/π Henry and 1/π farad respectively. The amplitude of current in the circuit depends on the frequency of oscillation of rod. The amplitude of the current will be maximum when the time period of rod is : (do not consider self inductance anywhere other than in the inductor)

Detailed Solution for NEET Part Test - 4 - Question 26

NEET Part Test - 4 - Question 27

In the figure shown the equivalent capacitance between 'A' and 'B' is :

Detailed Solution for NEET Part Test - 4 - Question 27

NEET Part Test - 4 - Question 28

A very small circular loop of area 5 × 10^{–4} m^{2} and resistance 2 ohm is initially concentric and coplanar with a stationary loop of radius 0.1 m. If one ampere constant current is passed through the bigger loop and the smaller loop is rotated about its diameter with constant angular velocity ω. The current induced (in ampere) in the smaller loop will be :

Detailed Solution for NEET Part Test - 4 - Question 28

NEET Part Test - 4 - Question 29

The capacitor shown in figure 1 is charged completely by connecting switch S to contact a. If switch S is thrown to contact b at time t = 0, which of the curves in figure 2 above represents the magnitude of the current through the resistor R as function of time t ?

Detailed Solution for NEET Part Test - 4 - Question 29

NEET Part Test - 4 - Question 30

At a given instant the current and self induced emf in an inductor are directed as shown in figure. If the induced emf is 17 volt and rate of change of current is 25 kA/s the correct statement is :

Detailed Solution for NEET Part Test - 4 - Question 30

NEET Part Test - 4 - Question 31

In the figure shown a parallel plate capacitor has a dielectric of width d/2 and dielectric constant K = 2. The other dimensions of the dielectric are same as that of the plates. The plates P_{1} and P_{2} of the capacitor have area 'A' each. The energy of the capacitor is :

Detailed Solution for NEET Part Test - 4 - Question 31

NEET Part Test - 4 - Question 32

A rod of length *l* having uniformly distributed charge Q is rotated about one end with constant frequency ' f '. Its magnetic moment.

Detailed Solution for NEET Part Test - 4 - Question 32

NEET Part Test - 4 - Question 33

Two identical spheres of same mass and specific gravity (which is the ratio of density of a substance and density of water) 2.4 have different charges of Q and – 3Q. They are suspended from two strings of same length l fixed to points at the same horizontal level, but distant l from each other. When the entire set up is transferred inside a liquid of specific gravity 0.8, it is observed that the inclination of each string in equilibrium remains unchanged. Then the dielectric constant of the liquid is

Detailed Solution for NEET Part Test - 4 - Question 33

NEET Part Test - 4 - Question 34

Two infinitely long parallel wires are a distance d apart and carry equal parallel currents I in the same direction as shown in the figure. If the wires are located on y axis (normal to x-y plane) at y = d/2 and y = then the magnitude of x-coordinate of the point on x-axis where the magnitude of magnetic field is maximum is (Consider points on x-axis only)

Detailed Solution for NEET Part Test - 4 - Question 34

NEET Part Test - 4 - Question 35

Figure shows a uniformly charged hemispherical shell. The direction of electric field at point p, that is off-centre (but in the plane of the largest circle of the hemisphere), will be along

Detailed Solution for NEET Part Test - 4 - Question 35

NEET Part Test - 4 - Question 36

A wooden stick of length 3l is rotated about an end with constant angular velocity w in a uniform magnetic field B perpendicular to the plane of motion. If the upper one third of its length in coated with copper, the potential difference across the copper coating of the stick is

Detailed Solution for NEET Part Test - 4 - Question 36

NEET Part Test - 4 - Question 37

The resistance of each straight section is r. Find the equivalent resistance between A and B.

Detailed Solution for NEET Part Test - 4 - Question 37

NEET Part Test - 4 - Question 38

PQ is an infinite current carrying conductor. AB and CD are smooth conducting rods on which a conductor EF moves with constant velocity V as shown. The force needed to maintain constant speed of EF is.

Detailed Solution for NEET Part Test - 4 - Question 38

NEET Part Test - 4 - Question 39

When a galvanometer is shunted with a 4? resistance, the deflection is reduced to one-fifth. If the galvanometer is further shunted with a 2? wire, the further reduction in the deflection will be (the main current remains the same).

Detailed Solution for NEET Part Test - 4 - Question 39

NEET Part Test - 4 - Question 40

An inductor (x_{L} = 2?) a capacitor (x_{C} = 8?) and a resistance (8?) is connected in series with an A.C. source. The voltage output of A.C. source is given by v = 10 cos 100πt. The instantaneous potential difference between A and B, when it is half of the voltage output from source at that instant will be :

Detailed Solution for NEET Part Test - 4 - Question 40

NEET Part Test - 4 - Question 41

Figure shows a system of three concentric metal shells A, B and C with radii a, 2a and 3a respectively. Shell B is earthed and shell C is given a charge Q. Now if shell C is connected to shell A, then the final charge on the shell B, is equal to :

Detailed Solution for NEET Part Test - 4 - Question 41

NEET Part Test - 4 - Question 42

A ring of mass m, radius r having charge q uniformly distributed over it and free to rotate about its own axis is placed in a region having a magnetic field B parallel to its axis. If the magnetic field is suddenly switched off, the angular velocity acquired by the ring is :

Detailed Solution for NEET Part Test - 4 - Question 42

NEET Part Test - 4 - Question 43

Four infinite ladder network containing identical resistances of R ? each, are combined as shown in figure. The equivalent resistance between A and B is R_{AB} and between A and C is R_{AC}. Then the value of is :

Detailed Solution for NEET Part Test - 4 - Question 43

NEET Part Test - 4 - Question 44

Two small balls, each having equal positive charge Q are suspended by two insulating strings of equal length L from a hook fixed to a stand. If the whole set-up is transferred to a satellite in orbit around the earth, the tension in equilibrium in each string is equal to

Detailed Solution for NEET Part Test - 4 - Question 44

NEET Part Test - 4 - Question 45

In a practical wheat stone bridge circuit as shown, when one more resistance of 100 ? is connected in parallel with unknown resistance ' x ', then ratio l_{1 }/ l_{2} becomes '2'. l_{1} is balance length. AB is a uniform wire. Then value of ' x ' must be :

Detailed Solution for NEET Part Test - 4 - Question 45

NEET Part Test - 4 - Question 46

If the anions (A) form hexagonal close packing and cations (B) occupy only 2/3^{rd} octahedral voids in it, then the general formula of the compound is :

Detailed Solution for NEET Part Test - 4 - Question 46

NEET Part Test - 4 - Question 47

In an ionic solid r_{(+)} = 1.6 Å and r_{(+)} = 1.864 Å. Use the radius ratio rule to determine the edge length of the cubic unit cell in Å.

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NEET Part Test - 4 - Question 48

Three lines are drawn from a single corner of an FCC unit cell to meet the other corner such that they are found to pass through exactly only 1 octahedral void, no voids of any type and exactly 2 tetrahedral voids with 1 octahedral void. Identify the line in the same order.

Detailed Solution for NEET Part Test - 4 - Question 48

NEET Part Test - 4 - Question 49

Platinum crystallises in a face centered cube crystal with a unit cell length of 3.9231 Å. The density and atomic radius of platinum are respectively. [Atomic mass of Pt = 195]

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NEET Part Test - 4 - Question 50

A 0.2 molal aqueous solution of a weak acid (HX) is 20 percent ionised. The freezing point of this solution is (Given k_{f} = 1.86º C kg mol^{–1} for water) :

Detailed Solution for NEET Part Test - 4 - Question 50

NEET Part Test - 4 - Question 51

The vapour pressure of the solution of two liquids A(pº = 80 mm) and B(pº = 120 mm) is found to be 100 mm when x_{A} = 0.4. The result shows that :

Detailed Solution for NEET Part Test - 4 - Question 51

NEET Part Test - 4 - Question 52

A 0.004 M solution of Na_{2}SO_{4} is isotonic with 0.010 M solution of glucose at same temperature. The apparent percentage dissociation of Na_{2}SO_{4} is :

Detailed Solution for NEET Part Test - 4 - Question 52

NEET Part Test - 4 - Question 53

Consider equimolal aqueous solutions of NaHSO_{4} and NaCI with ΔT_{b} and ΔT'_{b} as their respective boiling point elevations. The value of

Detailed Solution for NEET Part Test - 4 - Question 53

NEET Part Test - 4 - Question 54

The reduction potential of hydrogen half cell will be negative if (T = 298 K) :

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NEET Part Test - 4 - Question 55

Aqueous solution of Na_{2}SO_{4} containing a small amount of Phenolphthalein is electrolysed using Pt-electrodes. The colour of the solution after some time will

Detailed Solution for NEET Part Test - 4 - Question 55

NEET Part Test - 4 - Question 56

A very thin copper plate is electro-plated with gold using gold chloride in HCl. The current was passed for 20 minutes and the increase in the weight of the plate was found to be 2 gram [Au = 197]. The current passed was

Detailed Solution for NEET Part Test - 4 - Question 56

NEET Part Test - 4 - Question 57

A current is passed through two voltameters connected in series. The first voltameter contains XSO_{4} (aq.) and second has Y_{2}SO_{4} (aq.) the relative atomic masses of X and Y are in the ratio of 2 : 1. The ratio of the mass of X liberated to the mass of Y liberated is :