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C 3 D none. The ratio of heat generated to the final energy stored in the capacitor will be A 1. Another capacitor of capacitance 2C is similarly charged to a potential difference 2V.

The charging battery is now disconnected and the capacitors are connect in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal of the other. The two capacitors are then connected in a single loop, with the positive plate of one ; connected with negative plate of the other. What heat is evolvecl in the circuit? The battery is then disconnected and the charged plates are now connected in a system as shown in thefigure. The system shown is in equilibrium.

All the strings are insulating and massless. The magnitude of charge on one ofthe capacitor plates is: C VmgA D 0. Ifthe sphere is 0. The ratio ofthe radii of the spheres being n then the I- n-1 capacitance of such a sphere will be increased by a factor n n-1 A n B n-1 C -' n D a. They are combined in series. What maximum voltage will the system of these two capacitor withstands if they are connected in series?

The ratio — is: What should be the maximum value of the external emf source —H H. First of allfindout the break down voltages of each branch. After that compare them. Inner and outer shells are connected to each other.

The capacitance across middle and inner shells per unit length is: The switch S has been closed for long IkSl time so as to charge the capacitor. When switch S is opened, the ikn capacitor discharges with time constant A 33 ms B 5 ms C 3. When switch S is opened, the capacitor discharges with time constant. LAWvH t. A is constant c B increases with increase in time t C decreases with increase in time t D firstincreases then decreases Q.

Each resistance is of 3Q. Ifthe charge on the capacitor 5. An identical capacitor B of capacitance C with air as dielectric is connected to voltage source 0. The charge 0. A discharged capacitor ofcapacity 1. C chargeflowsthrough Afromrightto left. D chargeflowsthrough Afrom left to right. Ifthe switch S is closed. C the amount of chargeflowingthrough the cell will be CE. After closing the ——11 12V 2. D The potential drops across C is greater than that across C, 2.

When a dielectric plate is introduced between the two plates then: A some charge from the capacitor willflowback into the source. B some extra charge from the source willflowback into the capacitor. C the electricfieldintensity between the two plate does not change. D the electricfieldintensity between the two plates will decrease.

The capacity ofthe capacitor after the introduction ofthe copper sheet is: A minimum when the copper sheet touches one of the plates. B maximum when the copper sheet touches one of the plates.

C invariant for all positions of the sheet between the plates. D greater than that before introducing the sheet. Initially the capacitor is completely uncharged and the switch S is 3. A The current through resistor R at the moment the switch closed is zero. B The current through resistor R a long time after the switch closed is 5 A.

D The maximum charge on the capacitor during the operation is 5pC. Later one of the parameters i. V, R or C is changed keeping the other two constant, and the graph 2 is recorded. Question No. A Both the capacitors are charged to the same charge. B The emf s of cells in both the circuit are equal. C The emf s of the cells may be different. D The emf E is more than E t 2.

The battery is disconnected and the plates of the capacitor are pulled apart to make the separation between the plates twice. Again the capacitor is connected to the battery with same polarity then A Chargefromthe batteryflowsinto the capacitor after reconnection B Chargefromcapacitorflowsinto the battery after reconnection.

C The potential difference between the plates increases when the plates are pulled apart. D After reconnection ofbattery potential difference between the plate will immediately becomes half of the initial potential difference. Just after disconnecting the battery Q. Now a dielectric of dielectric constant K is inserted tofillthe whole space between the plates with voltage source remaining connected to the capacitor. A the energy stored in the capacitor will become K-times B the electricfieldinside the capacitor will decrease to K-times C the force of attraction between the plates will increase to K -times 2.

D the charge on the capacitor will increase to K-times Q. The potential drop across the 7 pF capacitor is 6 V.

Then the: B Voltage across capacitor Cj is 5V. D Energy stored in capacitor C. Now if the capacitor plates are brought close slowly by some di stance: B the two plates of the capacitor have equal and opposite charges.

Ifthe plates of the condenser are then moved farther apart by the use of insulated handle. They are connected in parallel with oppositely charged plates connected together. A the facing surfaces of the capacitor have equal and opposite charges.

A Final common voltage will be 5 V B Final common voltage will be 2.

D the outer surfaces ofthe plates have equal charges. A the charge on the capacitor increases B the charge on the capacitor decreases C the capacitance of the capacitor increases D the potential difference across the plate increases fe Bansal Classes Question Bank on Capacitance [13].

Which of the following quantities will change? A charge on the capacitor B potential difference across the capacitor C energy of the capacitor D energy density between the plates. C the battery supplies equal and opposite charges to the two plates.

D The cell will supply CE amount of energy. This region is nowfilledwith a dielectric slab of dielectric constant k. D Heat produced in the circuit will be Which of the following quantities will remain the same? A the electricfieldin the capacitor B the charge on the capacitor C the potential difference between the plates D the stored energy in the capacitor.

C The total charge on the plate Y will be zero. The capacitor is connected to a cell of emf E. The capacitor is now connected to a battery. A Charge of amount Q willflowfromthe negative terminal to the positive terminal ofthe cell inside it B The total charge on the plate X will be 2Q.

A third plate C. A slab of dielectric constant K is then inserted between the plates ofthe capacitor so as tofillthe space between the plates. A dielectric slab is 0 Q 0 0 introduced between plates of capacitor but battery is still in connection. The quantities charge. The switches S t and S are closed. D the capacity of the capacitor increases with the increase of the charge in the capacitor.

D the electric intensity between the plates remains constant during the drawing apart of plates. C more charge is drawn to the capacitor from the source. C the net potential difference across them is differentfromthe sum ofthe individual initial potential differences. E and U respectively. B all the energy drawnfromthe source is stored in the capacitor.

Again it is connected to the same source. E and W denote respectively. B the charge from the capacitorflowsinto the source. The corresponding quantities now given by Q. A net charge on connected plates is less than the sum of initial individual charges.

The plates are then drawn apart farther. B net charge on connected plates equals the sum of initial charges. C the potential difference across the capacitor grows very rapidly initially and this rate decreases to zero eventually. Which of the following are correct? A the potential difference across the plate increases.

D the net energy stored in the two capacitors is less than the sum ofthe initial individual energies. A all the charge drawnfromthe source is stored in the capacitor. The black box may contain i 1 O-J -o A I! The energy stored in the charged capacitor is 0 U. Sometimes after the switch is closed. V the potential difference between the plates. A the area of each plate and d the distance between the plates.

Time Limit: This Question Bank will be discussed after the Rakshabandhan vacation. Reason R Molecular motion ceases at absolute zero. Requires slight mind scratching. Reason R Helium is chemically inert noble gas. Requires recollection of various concepts. Reason R. D if A is wrong and R is correct. Helium shows only positive deviationfromideal behaviour.

C if A is correct and R is wrong. The value of van der Waal constant b is higher for N than for NH. Easy life. NH molecules are associated withH-bonds.

B if both A and R are correct and R is not the correct reason of A. Requires calculation skill. The gases which are isosteres diffuse at the same rate under similar conditions.

JE if both A and R are wrong. L When an electronic transition occurs in an atom from higher energy state to a lower energy state with energy difference equal to AE electron volts. Diffusion and effusion do not follow the same law. Examine the statements carefully and answer the questions according to the instructions given below: A if both A and R are correct and R is the correct reason ofA.

Identify X. C Force of attraction between the molecules affect gaseous property at high temperature. Calculate "atom utilization" and "E factor".

A Force of attraction between the molecules exists at low pressure only. D Force of attraction between the molecules affect gaseous property at low pressure. What is molarity of solid CaC0. B Force of attraction between the molecules exists at high pressure only. V 2 Which one ofthe following is correct? The "E factor" is the amount in kg of by product per kg of products.

What volume of solution in ml should be used?

When this solution is dropped on surface. From this info calculate the following in terms ofn and a. CuS0 crystal by 36 gm. C H gets evaporated and acid forms aunimolecular layer on the surface..

Ifwe 6 6 wish to cover an area cm withunimolecularfilm.

A d Compare rate of effusions before polymerisation and after the polymerisation. Deduce the molecular formula of the 4 compound. Compute masses ofAs and CO formed if If the atmospheric pressure is The Hg level stood 15 mm higher in the open end as compared to the end connected to gas chamber.

D ifA is wrong and R is correct. Isotopes of an element can be identified with the help of a mass spectrograph. C are same III. Gas A will tend to lie at the bottom II. The number of atoms of the gas 'X' present in Pick up the correct statement assuming ideal gas behaviour: E if both A and R are wrong. Reason R a-particles are di-positive ions having appreciable mass. The number of atoms ofvarious gases A B.

The gases will diffuse to form homogeneous mixture IV The average kinetic energy of each gas is same A I. B if both A and R are correct and R is not the correct reason ofA. The gas pressure in k Pa is A Aand x are constants depending upon type of crystal and 'r' is the distance between the ions.

Can you give a possible reason for this. Calculate potential energy ofthe crystal in terms ofr and other given constants.

Calculate expression ofB in terms ofgiven constant for a stable crystal lattice given that ions are at a distance of r. H2 ii. In the crystal clear water of the lake. The maths teacher said. The chemistry teacher concluded "Both physics and maths teacher are soluble in sea water under condition of 1 atm and K.

The beam falls normally on an area 1. The mass of one litre ofthis organic gas is exactly equal to that of one litre ofN. Fascinated by sea waves the physics teacher said. J E E Humour. The pressure at the surface is mm Hg. As the bubble rises to the top. On a hot sunny day. A Physics teacher. Calculate the no. Calculate planks constant in eVs.

Ifthe depth ofthe lake is Calculate atomic weight of X. What is the angle made by the net acceleration of the bob with the string at point Q.?

Find the force exerted by the vertical wall OM on wedge. Find the ratio T. If the radius of vertical circle is 2m. Find the kinetic energy ofthe spring. Find the total work done by the force F on the particle. Find the potential energy stored in the spring m.

String is given an additional extension of 2a in vertical downward direction by pulling the mass and releasedfromrest. Find the value of angular velocity co. If it is needed to deliver a volume 0.

The smooth semicircular wireframeisfixedin vertical plane. Neglect interaction with peg if any Q. Find the normal reaction between bead and wire just before it reaches the lowest point. What is the normal reaction at B just after the bead is released? How much time is needed after motion begins for the normal acceleration of the point to be 2 equal to tangential acceleration?

The other end isfixedto a peg on vertical wall. Find the angular velocity ofrotation. Find the maximum height reached by it during its subsequent motion above point of release. Find the velocity ofthe sphere when it hits point A again after moving in a circuit on the horizontal plane.

Which bead reaches point B earlier? Express all answers in terms a and b. One end of a taut cord is attached to point A ofthe plate and the other end is attached to a sphere of mass m. The plane of rotation is xy. If the body is moving in a circular orbit of 5m. The sphere is given an initial velocity v on the horizontal plane perpendicular to the cord which causes it to make a Q complete circuit of the plate and return to point A.

Particle then continues to move with attained speed. In the process. Alsofindthe time taken by the spheretocomplete the circuit.

Radius ofthe ring is 2m. For this casefindthe values of x.. At this instant of time. Calculate a angular acceleration of the particle. Friction between the bead and the string may be neglected. Alight fiictionless. Find the height from the ground at which it leaves the hemisphere.

How far from point B will the mass land. The string passes through a smooth fixed ring R and the other end of the string is attached to the fixed point A. When the system is releasedfromrest. The ring is held on a level with the peg and released: Show that it first comes to rest after falling a distance: B starts to move vertically downwards and A slides on the floor towards right.

The particle is attached to one end of a spring whose other end is fixed to the top point O of the ring. C being the centre ofthe ring. Determine the force constant of the spring. Also find the normal reaction between particle and path at A. Initial height of B is 5mfromthe floor as 6m shown in Fig.

A light string is attached to the ring and is passing over a smooth peg distant a from the rod. The particle moves up the vertical section A JZL and ultimately loses contact with it. AR being horizontal. Find R such that after losing contact at A and flying through the air. One end of a light elastic string. Alight inextensible string of length 16 m. The point O on the wire is at same horizontal level as R.

Find the speed ofthe bead as it passes O. Consider the instant when the ring is released and i draw the free body diagram of the ring. The upper string is attached to the ceiling. A light j erk sets the system in motion. The masses are observed to be at rest with respect to an observer on the turn table. Two additional cords. The masses are placed along the diameter ofthe table on either side ofthe centre O such that m.

A small ring of mass m. Find the ratio of instantaneous acceleration of blocks? TTwmvmr Q. What will be the velocity u of the body at this moment? Friction should be neglected. The coefficient offrictionbetween the table and m. Also find the tension T in the cord in terms of 9. Find u. At a certain instant of time. Each of the tracks risks to the same height.

Determine the minimum horizontal velocity which should be imparted to the lower ball so that it can make complete revolution. The magnitude of the change in its velocity at it reaches a position where the string is horizontal is [JEE98] A. The rod is set in angular motion about A with constant angular acceleration a. Ifthe line j oining the centre of the hemispherical surface to the insect makes an angle a with the vertical.

The speed with which the block enters the track is the same in all cases. Another 3 identical ball having the same charge is kept at the point of suspension. Startingfromthe origin.

At the instant of crossing AB. At the highest point ofthe track. The object given a horizontal velocity u. At rest is is the resultant force acting on it at Q? At some point. If the coefficient offrictionbetween the rod and the bead is p and gravity is neglected. When the displacement ofthe bob is less that maximum, its acceleration vector a is correctly shown in [JEE Scr.

Here k and a are positive constants. The mass is released with the spring initially unstretched. Then the maximum extension in the spring is [JEE Scr. The smaller sphere A has a radius R and the space between the two spheres has a width d. The ball has a diameter veiy slightly less than d. All surfaces are frictionless. The ball is given a gentle push Sphere B. The angle made by the radius vector ofthe ball with Sphere A the upward vertical is denoted by 9 shown in the figure.

Calculate the linear momentum ofthe particle w. Collision is a kind of interaction between two or more bodies which come in contact with each other for a very short time interval. Types of collision: Elastic and Inelastic Collisions may be either elastic or inelastic.

Linear momentum is conserved in both cases. Coefficient of Restitution: It is defined as the ratio of the velocity of separation to the velocity of approach of the two colliding bodies. Discrete System: The position vector of the centre of mass is. The components of the position vector of centre of mass are defined as Zmixi.

Continuous system: Centre of Mass of Some Common Systems: The centre of mass lie closer to the heavier mass. Motion of the centre of mass: The kinetic energy of a system ofparticles consisits of two parts.

Note that the term K' may involve translational, rotational or vibrational energies relative to the centre of mass. Newon's Laws of a system of particles: The first and second laws of motion for a system of particles are modified as: First law: The centre of mass of an isolated system is at rest or moves with constant velocity. Second law: The net external force acting on a system of total of mass M is related to the acceleration of centre of mass of the system.

A particle ofmass m is placed on the top ofthe hemisphere. Find the angular velocity ofthe particle relative to hemisphere at an angular displacement 0 when velocity of hemisphere has become v. When his feet are just about to leave the ground his centre of mass is h 2.

The motion ofball occurs on smooth horizontal plane. Find the impulse ofthe tension in the string when it becomes taut. The combined mass of trolley A excluding bag and the man is kg. Find the ratio of velocities of trolleys A and B, just after the bag lands on trolley B. At the bottom most point of its motion, an identical mass m gently stuck to it.

Find the anglefromthe vertical to which it rises. Find the maximum height attained by their centre of mass. Bis pulled with constant —' L-r-' — acceleration a in direction shown. They are connected by a light spring. Find the maximum 2. Initially the system is at rest on a level fiictionless surface.

The vertical plank falls anticlockwise and fmaly comes to rest on the top ofthe horizontal plank. Find the displacement ofthe hinge till the two planks come in contact.

The x coordinate of m is plotted against time. Then plot the x t. Both are initially located at origin 2 2 t in sec. It is observed that the path of their centre of mass is a straight line bisecting the angle between the given straight lines. Find the magnitude ofthe acceleration of the centre of mass of the two blocks. Find the centre of mass of remainder is at a distance, from the centre Q. Find the ratio ofm,: Find the maximum height up to which the centre of mass of system of the two masses rises.

Find the value of coefficient of restitution for which the two disks move in perpendicular direction after collision. The segments shown are circular. Find the linear momentum gained between 4 and 8 second. Assume S. Find the magnitude of Cengage is best known for its quality study material because most of its books are actually written by Kota faculties. HC Verma Book Download pdf. The manner by w Derivation of Volume of Sphere.

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