60 IMPORTANT QUESTIONS OF PHYSICS-CLASS XII

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1 60 IMPORTANT QUESTIONS OF PHYSICS-CLASS XII Q1. Plot a graph showing the variation of coulomb force (F) versed (1/r 2 ), where r is the distance between the two charges of each pair of charges (1µC, 2µC) and (2µC, -3µC). Interpret the graphs obtained. Q2. The two plates of a parallel plate capacitor are 4 mm apart. A slab of dielectric constant 3 and thickness 3 mm is introduced between the plates with its faces parallel to them. The distance between the plates is so adjusted that the capacitance of the capacitor become 2/3 rd of its original value. What is the new distance between the plates? Q3. A parallel plate capacitor is charged by a battery, which is then disconnected. A dielectric slab is then inserted in the space between the plates. Explain what changes, if any, occur in the values of : (i) Capacitance (ii) potential difference between the plates (iii) Charge on the plates (iv) E.F between the plate (v) The energy stored in the capacitor Q4. a) Explain the principle of a capacitor.find out capacitance of a capacitor with a dielectric slab of thickness t between the capacitor plates having separation d such that t<<d. b) What happens when the dielectric slab is replaced by a conducting slab of same thickness? c) Calculate charge on the capacitors when key k is closed. Q5. Devices A and B are connected independently to a variable frequency alternating voltage source as shown. The current in A is ahead of the applied voltage whereas it lags behind the voltage in B. a) Identify the devices A and B. b) How will the current in each of these devices change on decreasing the frequency of the applied voltage? Give reason to support your answer in each case. Q6. i) A spherical conducting shell of inner radius r1 and outer radius r2 has a charge Q. A charge q is placed at the centre of the shell. a) What is the surface charge density on the i) inner surface and ii) outer surface of the shell? b) Write expression for the electric field intensity at a point x>r2 from the centre of the shell. ii) a) A conductor A with a cavity is given a charge Q. Show that the entire charge must appear on the outer surface of the conductor. (b)if another conductor B with a charge q is inserted into cavity, keeping B insulated from A, show that the total charge on the outside surface of A is Q+q. Q7. A hemispherical body is placed in a uniform electric field E.What is the flux linked with the curved surface in each situation shown?

2 Q8. State and prove Gauss s theorem.find out expression for electric field at a point near a surface distribution of charge of infinite extent. Draw a graph b/w electric field and separation of point of observation from plane sheet having continuous charge distribution. Q9. a) Meter bridge is based on which principle (b) Why are the connections between resistors in a meter bridge made of thick copper strips? (c) Why is it generally preferred to obtain the balance point near the middle of the bridge wire in meter bridge experiments? d) How sensitivity of meter bridge can be increased? Q10. (a) Potentiometer is based on which principle? Write an experiment to find out internal resistance of a cell using potentiometer (b) How can the sensitivity of a potentiometer be increased? (c) Write two possible causes for one sided deflection in the potentiometer experiment. (d) Define potential gradient. Obtain an expression for potential gradient in term of resistivity of the potentiometer wire. Q11 In a wheat stone bridge circuit, wire AB is 2m long. When resistances Y=2.0Ωand jockey is in position J such that AJ = 1.20m, there is no current in galvanometer. Find the value of unknown resistance x. The resistance per unit length of wire AB = 0.01 Ω/cm. Also calculate the current drawn by the cell of emf 4.0 V and negligible internal resistance. Q12. (i) When the key is open, how does the balance point change if current from driver cell decreases. (ii) When the key is closed, how does the balance point change if R is increased keeping current from the driver cell constant. Q13. When two unknown resistance R and S are connected in the left and right gaps of a meter bridge, the balance point is found at a distance l 1 from the zero end of the meter bridge wire. An unknown

3 resistance X is now connected in parallel to the resistance S and the balance point is now found at a distance l 2 from the zero end of the meter bridge wire. Obtain a formula for X in terms of l 1, l 2 and S. Q14. a) State Blot- Savart law for magnetic field produced at a point due to a small current element. How will you find the direction of magnetic field? b) At what points is the magnetic field of a current element i) Zero ii) Maximum. Q15. With the help of labelled diagram, explain principle, construction, theory and working of a cyclotron. State its limitations Q16. Explain principle, construction & working of a moving coil galvanometer. What is the function of i)uniform radial field ii) Soft iron core; in such a device. What is figure of merit, voltage and current sensitivity of a galvanometer? State 4 factors by which the sensitivity of a moving coil galvanometer can be increased. Q17. Use Biot- Savart law, to obtain the magnetic field at an axial point, distance r from the centre of a circular coil of radius a carrying a current I. Hence compare the magnitudes of magnetic field of this coil at the centre & at an axial point for which r = a. Q18. (a) A magnetic dipole is placed in a uniform magnetic field with its axis tilted with respect to its position of stable equilibrium. Deduce an expression for time period of oscillation of this magnetic dipole about an axis, passing through its centre and perpendicular to its plane. (b) If this bar magnet is replaced by a combination of two similar bar magnets, placed over each other, how will the time period vary? Q19. A coil of N turns and radius R carries current I. It is unwound and rewound to make square coil of side a having same no. of turns N. Keeping the current I same, find the ratio of the magnetic moments of the square coil and the circular coil. Q20. a) Prove that an ideal resistor dissipates power of V 2 eff /R in an a.c circuit.. Prove that the total energy stored in an inductor is ½ LI 2 o where I o is the maximum current through the inductor b) Define power in an a.c circuit.show that average power transferred to an ac circuit is given by: P av = E rms I rms cosø Q21. (a) A Rectangular coil of N turns,area A is held in a uniform magnetic field B. If the coil is rotated at a steady angular speed, deduce an expression for induced emf in the coil. (b) Prove that the max.emf induced in the coil is. Explain how does the emf vary when the coil turns through an angle of 2π? What is the instantaneous value of induced emf when the plane of the coil makes an angle of 60 0 with magnetic lines. Q22. A plane E.M Wave of frequency 25 MHz travels in free space along the x- direction. At a particular point in space and time,e = 6.3j vm -1 What is B at this point? Q23. The magnetic field in a plane E.M Wave is given by B y = 2x10-7 sin(0.5x10 3 x+1.5x t) T a) What is the wavelength and frequency of the wave? b) Write an expression for the electric field Q24. What is displacement current?state and explain Maxwell s modification of Ampere s circuital law. How the concept of displacement current is explained? The charging current for a capacitor is 0.25A. What is the displacement current across its plates? Q25. The magnetic field in a plane E.M Wave is given by B y = 2x10-7 sin(0.5x10 3 x+1.5x t) T a) What is the wavelength and frequency of the wave? b) Write an expression for the electric field.

4 Q26. Show that a convex lens produces an N times magnified image when the object distance from lens have magnitude (f+ ). Here f is the magnitude (f+ ) of the focal length of the lens.hence find the two values of the object distances for which a convex lens of power 2.5 D will produce an image that is 4 times as large as the object? Q27. An unpolarised beam of light of intensity Io is incident on a combination of two polaroids. Find the net intensity of light transmitted by the combination when the pass axis of the two polaroids are inclined to each other at an angle of Q28. State Huygens s principle. Prove laws of reflection & refraction on the basis of Huygen s wave theory Q29. a) Define Interference. Obtain the condition for constructive and destructive interference. b) Explain young s double slit experiment. Obtain expression for fringe width. Q30. Define diffraction. Explain diffraction at single slit. Write three differences b/w Interference and diffraction Q31. What is photoelectric effect? Write Einstein s photoelectric equation & use it to explain (i) Independence of max. energy of emitted photoelectrons from the intensity of incident light. (ii) Existence of threshold frequency for the emission of photoelectrons. (iii) Stopping potential. Q32. Write briefly the underlying principle used in Davison Germer experiment to verify wave nature of electrons experimentally. What is the De-Broglie wavelength of an electron with kinetic energy 120eV? Q33. a)what is p-n junction diode? Explain the formation of depletion layer and potential barrier. b)explain the working of p-n junction diode in forward and reverse bias? Q34. Which device converts AC into DC? Explain the working of p-n junction diode as a half wave and full wave rectifier. Q35. Which device converts fluctuating or unregulated d.c into regulated d.c or which device acts as a voltage regulator? Explain its working in detail. Q36. a)explain the action n-p-n or p-n-p transistor. b)draw the circuit diagram to study the characteristics of npn transistor in CE mode. Sketch typical (i) Input characteristics (ii) Output characteristics for such a configuration. With the help these characteristics define (i) Input resistance (ii) Current amplification factor (iii) Current gain (iv) Voltage gain Q37. i) Name the type of a diode whose characteristics are shown in fig (a) and (b) ii) What does the points P in fig (a) represent? iii) What does the point P and Q in fig (b) represent? Q38. Define mean life of a radioactive sample. Deduce its relation with decay constant and half life. Q39. Describe the process of release of energy in a nuclear reactor. Draw a labeled diagram of a nuclear reactor & write the function of each part. Q40. Define half life of a radioactive sample. Derive formula for it. Q41 Explain in detail the various propagation modes for EM waves. Q42. Write three important factors which justify the need of modulating a message signal. Show diagrammatically how can amplitude modulated wave is obtained when a modulating signal is superimposed on a carrier wave. Q43 (a)a radioactive substance decays to 1/32 th of its initial activity in 25days. Calculate its half life.

5 Q43 (b) Plutonium decays with a half life of years. If plutonium is stored for 72,000 years what fraction of its remains? Q44. (i) Two metals A & B have work functions 4ev & 10ev respectively. Which metal has higher threshold wavelength? (ii) Ultraviolet light is incident on two photosensitive materials having work function W 1 & W 2 (W 1 > W 2 ). In which case will the K.E of the emitted electron be greater? Why. (iii) If the maximum K.E. of electrons emitted in a photocell is 5ev, what is the stopping potential? (iv) De Broglie wavelength associated with an electron accelerated through a potential difference V? (v) What is the De-Broglie wavelength (in A 0 ) associated with an electron accelerated through a potential of 100V? Q45. Figure shows a system of two polarizing sheets in the path of initially unpolarized light.the polarizing direction of first sheet is parallel to x-axis and that of second sheet is 60 0 clockwise from x-axis. Calculate what fraction of intensity of light emerges from the system. Q46. An electron in hydrogen atom makes a transition from n = to n = 1 emitting a photon of frequency 1. A photon of frequency 2. is released for a transition from n = to n = 2. Compute 1 / 2. Q47. Given a uniformly charged plane/sheet of surface charge density = 2 X C /m 2. (i) Find the electric field intensity at a point A, 5 mm away from the sheet on the left side. (ii) Given a straight line with three points x,y and z placed 50 cm away from the charged sheet on the right side. At which of these points, the field due to the sheet remain the same as that of point A and why? Q48.A compound microscope consists of an objective of focal length 1 cm and eye piece of focal length 5 cm separated by 12.2 cm. (a) At what distance from the objective should an object be placed so that the final image is formed at least distance of distinct vision? (b) Calculate the angular magnification in this case. Q49. A 50 cm long metallic rod is rotated with an angular velocity of 3000 rpm with one end hinged at the center and the other end at the circumference of a circular metallic ring of radius 50 cm about the axis passing through center and perpendicular to the plane of the ring. A constant magnetic filed of intensity 0.1 T is present parallel to the axis of rotation in the entire ring. Calculate the e.m.f. induced between the metallic ring and its center. Justify the formula used. Q50. (a)the first line of Lyman series in hydrogen spectrum has a wavelength of 1220 A 0. Calculate the wavelength of the second and the third members of the series. (c) For a common emitter transistor amplifier, the audio signal voltage across the collector resistance of 2 kω is 2 V. The current amplification factors of the transistor are known to be 100. Find the input signal voltage and the base current if the base resistance is 1 kω.

6 Q51. By starting the sign-convention and assumptions used. Derive the relation between the u, v, µ andr of a convex spherical surface, when refraction takes place. i)from optically rarer to denser medium & image formed is real. ii)from optically denser to rarer medium & image formed is virtual Q52. An illuminated object and a screen are placed 90 cm apart. What is the focal length & nature of lens required to produce a clear image on the screen, twice the size of the object? Q53. A convex lens of focal length 10 cm is placed coaxially 5 cm away from a concave lens of focal length 10 cm. If an object is placed 30 cm in front of the convex lens, find the position of final image formed by the combined system. Q54. Am equiconvex lens with radii of curvature of magnitude R each, is put over a liquid layer poured on top of a plane mirror. A small needle, with its tip on the principal axis of the lens, is moved along the axis until its inverted real image coincides with the needle itself. The distance of the needle from the lens is measured to be a. On removing the liquid layer & repeating the experiment the distance is found to be b. Given that two values of distances measured represent the focal length values in the two cases, obtain a formula for the refractive index of the liquid. Q55. A convex lens is placed in contact with a plane mirror. An axial point object, at a distance of 20 cm from this combination, has its image coinciding with itself. What is the focal length of the convex lens? Q56. A convex lens of focal length 20 cm, has a point object on its principal axis at distance of 40 cm from it. A plane mirror is placed 30 cm behind the convex lens. Locate the position of image formed by this combination. Q57. A convex lens of focal length 20 cm is placed coaxially with a convex mirror of radius of curvature 20 cm. The two are kept 15 cm apart from each other. A point object is placed 60 cm infront of convex lens. Draw a ray diagram to show the formation of image by the combination. Determine nature & position of image formed. Q58. A convex lens of focal length 20 cm and a concave mirror of focal length 10 cm, are placed coaxially 50 cm apart from each other. A beam of light coming parallel to the principal axis is incident on the convex lens. Find the position of final image formed by this combination. Draw ray diagram showing formation of the image. Q59. Calculate the value of angle of incidence when a ray of light incident on one face of an equilateral glass prism produces the emergent ray, which just grazes along the adjacent face. Refractive index of prism is. Q60. A ray of light PQ is incident at angle of 60 0 on the face AB of a prism of angle 30 0 as shown. The ray emerging out of prism makes an angle of 30 0 with the incident ray. Show that the emergent ray is to the face BC through which it emerges. Also calculate refractive index of prism material.

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