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1 STD : 1 TH PHYSICS RJ VISION PVT. LTD. (MOST STABLE & INNOVATIVE INSTITUTE) GSEB COURSE NAME: 1 TH Total Marks : 100 Time : 3 hrs PART A Multiple Choice uestions : 1. An electric dipole is placed in a uniform field. The resultant force acting on it... (a) always be zero (b) never be zero (c) depends on its relative position (d) depends on its dipole moment. The electric force acting between two point charges kept at a certain distance in vacuum is α. If the same two charges are kept at the same distance in a medium of dielectric constant K. The electric force acting between them is... (a) α (b) Kα (c) K α (d) α / K 3. There exists an electric field of 100 N/C along Z-direction. The flux passing through a square of 10 cm sides placed on XY plane inside the electric field is... (a) 1.0 Nm /C (b).0 Vm (c) 10 Vm (d) 4.0 Nm /C 4. The number of electric field of lines emerged out from C charge is... [ε 0 = SI] (a) (b) (c) (d) A charge is placed at the centre of a cube. The electric flux emerging from any one surface of the cube is... (a) 0 (b) 0 (c) 4 0 (d) For a uniform electric field E E 0 (ˆ i), if the electric potential at x = 0 is zero, then the value of electric potential at x = 0 is zero, then the value of electric potential at x = x will be... (a) xe 0 (b) xe 0 (c) x E 0 (d) x E 0 7. A parallel plate capacitor is charged and then isolated. Now a dielectric slab is introduced in it. Which of the following quantities will remain constant? (a) Electric charge (b) Potential difference V (c) Capacitance C (d) Energy U 8. A moving electron going away from another electron. What would be the change in the potential energy of this system? (a) Remains constant (b) Increases (c) Decreases (d) May increase of decrease 9. The capacitance of a parallel plate capacitor formed by the circular plates of diameter 4.0 cm is equal to the capacitance of a sphere of diameter 00 cm. Find the distance between two plates. (a) 10 4 m (b) m (c) m (d) m 10. The capacitance of a variable capacitor joined with a battery of 100 V is changed from Μf to 10μF. What is the change in the energy stored in it? (a) 10 J (b).5 10 J (c) J (d) 4 10 J H.O. : Baroda [11/A Taksh Complex, Vasna Rd], Centres : Karelibaug [01, NBCC Plaza] Kota (R & D) www. rjvision.org 1

2 11. Six identical square metallic plates are arranged as in figure. Length of each plate is l. The capacitance of this arrangement would be... 3 (a) 0 l (b) d 4 3 d 0 l (c) 3 d 0 l 4 (d) 0 l d 1. When current is flowing from thick wire to thin wire, its value... (a) remains constant (b) increases (c) decreases (d) depends on the type of matter 13. In the circuit shown in figure, what will be the effective resistance between points A and B? (a) r (b) r (c) 3 r (d) r 14. Two concentric rings are kept in the same plane. Number of turns in both the rings is 0. Their radii are 40 cm and 80 cm and they carry electric currents of 0.4 A and 0.6 A respectively in mutually opposite directions. The magnitude of the magnetic field produced at their centre is... T (a) 4μ 0 (b) μ 0 (c) μ0 (d) μ An electron performs circular motion of radius r, perpendicular to a uniform magnetic field B. The kinetic energy gained by this electron in half the revolution is... (a) 1 mv (b) 4 1 mv (c) zero (d) rbev 16. A bar magnet is oscillating in Earth s magnetic field with periodic time T. If a similar magnet with the same mass and volume has magnetic dipole moment, which is 4 times that of this magnet, then its periodic time will be... (a) T (b) T (c) T (d) 4T 17. At a certain place, the horizontal component of the earth s magnetic field is B 0 and the angle of dip is 45. The total intensity of the field at that place will be... (a) B 0 (b) B 0 (c) B 0 (d) 18. A place where the horizontal component of Earth s magnetic field is zero lies at... (a) geographic equator (c) one of the geographic poles (b) geomagnetic equator H.O. : Baroda [11/A Taksh Complex, Vasna Rd], Centres : Karelibaug [01, NBCC Plaza] Kota (R & D) www. rjvision.org B 0 (d) one of the geomagnetic poles 19. A fish in a lake is at a 6.3 m horizontal distance from the edge of the lake. If it is just able to see a tree on the edge of the lake, its depth in the lake is... m. Refractive index of the water is (a) 6.30` (b) 5.5 (c) 7.5 (d) 1.55

3 0. Depth of a well is 5.5 m and refractive index of water is If viewed from the bottom, by how much height would the bottom of the well appear to be shifted up? (a) 5.5 m (b).75 m (c) m (d) m 1. The focal length of thin lens made from the material of refractive index 1.5 is 0 cm. When it is placed in a liquid of refractive index 1.5 is 0 cm. When it is placed in a liquid of refractive index 1.33, its focal length will be. cm. (a) (b) (c) 60.5 (d) Which of the following is responsible for glittering of a diamond? (a) Interference (c) Total internal reflection 3. Mass of photon in motion is.. (b) Diffraction (d) Refraction c (a) hf (b) h (c) hf (d) hf c 4. The uncertainty in position of a particle is same as its de-broglie wavelength, uncertainty in its momentum is... (a) h (b) h 3 (c) h (d) 3 h 5. Stopping potential for one polished surface is volt. The maximum speed of electron emitted from surface is. m/s. (a) (b) (c) (d) A square conducting coil of area 100 cm is placed normally inside a uniform magnetic field of 10 3 Wbm. The magnetic flux linked with the coil is Wb. (a) 10 (b) 10 5 (c) 10 5 (d) 0 7. The equivalent inductance of the following circuit is.. (a) 1.0 H (b) H (c) 0.75 H (d) 0.5 H 8. The phenomenon in which electric current is induced in conductor by varying magnetic field is called.. (a) Magnetic Induction (b) Electric Induction (c) Electromagnetic Induction (d) Induced emf 9. What is the rms value of the current for A.C. current I = 100 cos (00t + 45 ) A? (a) 50 A (b) 100 A (c) 100 A (d) zero 30. For step-down transformer value of transformation ratio is. (a) r > 1 (b) r < 1 (c) r = 1 (d) r = For LCR A.C. circuit the resonant frequency is 800 Hz and the frequencies at half power point are 400 Hz and 600 Hz. The factor will be. (a) 0.5 (b) 4 (c) 0.66 (d) 6 3. In an A.C. circuit the peak value of voltage is Volt, then the rms value of voltage is. Volt. (a) 100 (b) (c) (d) H.O. : Baroda [11/A Taksh Complex, Vasna Rd], Centres : Karelibaug [01, NBCC Plaza] Kota (R & D) www. rjvision.org 3

4 33. In an A.C. circuit direction of electric current gets reversed after every 10 (a) 3.14 Hz (b) 100 Hz (c) 314 Hz (d) 5 Hz 34. A plane electromagnetic wave is travelling along the positive X-direction. The electric field vector at an arbitrary point at a time is E 6 ˆj Vm 1. The magnetic field at that point at that time is. (a) kˆ T (b) 10 8 kˆ T (c) kˆ T (d) kˆ T 35. Astronomers have found that the electromagnetic waves of wavelength 30 cm are continuously reaching the earth s surface. The frequency of this radiation is (a) 1 GHz (b) 1 khz (c) 1 MHz (d) 1 Hz 36. For a radiation of 9 GHz passing through air. The number of waves passing through 1 m length is (a) 5 (b) 3 (c) 0 (d) Detailed information can be obtained by the oil immersion objective of a microscope, because the objective has.. (a) large value of magnification (c) large diameter (b) greater value of resolution (d) none of the above 38. The first diffraction minimum due to a single slit is at angle 30. If the wavelength of light is 5000 Å, what is the width of slit. (a) 10 5 (b) 10 5 cm (c) 10 4 (d) 10 4 cm 39. The angle between plane of polarization and plane of vibration is.. (a) (b) 4 (c) zero (d) The radius of second orbit in an atom of hydrogen is R. What is its radius in third orbit? (a) 3R (b).5r (c) 9R (d) The operating voltage in Coolidge tube is 10 5 V. The speed of X-rays produced is m/s (a) 10 8 (b) 10 5 (c) 10 6 (d) Half-life of a radioactive element is 5 min. At the end of 0 min. its. % quantity will remain undisintegrated. (a) (b) 75 (c) 5 (d) Pure semiconductors behave as. At zero Kelvin temperature. (a) Resistor (b) Inductor (c) Insulator (d) Conductor 44. Which is the necessary and sufficient condition for an element to be naturally radioactive? (a) z > 83 (b) z > 70 (c) z > 60 (d) z > Half life of a radioactive element is 10 min. At the end of 0 min, its. % quantity will remain undisintegrated. (a) (b) 75 (c) 5 (d) The value of current gain β of a transistor is 49. The value of α will be (a) 0.98 (b) 9.8 (c) 98 (d) 980 H.O. : Baroda [11/A Taksh Complex, Vasna Rd], Centres : Karelibaug [01, NBCC Plaza] Kota (R & D) www. rjvision.org 4

5 47. The figure show the input signal A, input signal B and output Y. Which logic gate does it represent? (a) N (b) AND (c) NAND (d) 48. In a diode reverse bias voltage is V and width of the depletion region is 00 Å. Then electric field intensity =.. cm V. (a) 10 7 (b) 10 6 (c) 10 8 (d) The maximum amplitude of carrier wave is 3V. What should be the amplitude of modulating signal in order to have a modulating signal in order to have a modulation index of 80%? (a) 4 V (b).4 V (c) 4. V (d) 9 V 50. The power radiated from the antenna is proportional to.. (a) f 1 (b) f 1 (c) f (d) f PART B Section A [ Marks] Very Short Answer Type uestions : 1. Write the Coulomb s Law and represent the forces between the two charges in vector form.. Obtain formula for force acting on a charge moving with velocity V d in magnetic field. 3. Obtain the equation of torque acting on a bar magnet in a uniform magnetic field. 3. A magnetic pole of bar magnet with pole strength of 100 Am is 0 cm away from the centre of a bar magnet. Bar magnet has pole strength of 00 Am and has a length of 5 cm. If the magnetic pole is on the axis of the bar magnet, find the force on the magnetic pole. 4. Write properties of a Photon. 5. Give the applications of eddy currents. 6. Huble space telescope is at distance 600 km from earth s surface. Diameter of its primary lens (objective) is.4 m. When a light of 550nm is used by this telescope, at what minimum angular distance two objects can be seen separately? Also obtain linear minimum distance between these objects. Consider these objects on the surface of earth and neglect effects of atmosphere. 6. Prove that distance between consecutive dark and bright fringe is D. d 7. State the limitations of Bohr s model. 8. Explain the rate of disintegration of a radioactive element and the decay constant. H.O. : Baroda [11/A Taksh Complex, Vasna Rd], Centres : Karelibaug [01, NBCC Plaza] Kota (R & D) www. rjvision.org 5

6 Short Answer Type uestions : Section B [3 Marks] 9. (1) A capacitor of 900 pf is charged with the help of 100 V battery. Calculate the electric potential energy of this capacitor. () The above capacitor is disconnected from the battery and is connected to another identical uncharged capacitor. What will be the total energy of the system? 9. Derive the formula for the electric potential due to an electric dipole at a far distant point from it. 10. The tungsten filament of bulb has resistance equal to 18 at 0 C temperature A of current flows when 30 V is connected to it. If α = K 1 for a tungsten, then find the temperature of the filament. 11. Obtain the relation between the object distance, image distance and focal length for concave mirror. 1. Prove that the average value of an A.C. voltage source is given by V = V m sin ωt is equal to period of its cycle. V m for half 13. Calculate the principal quantum number for which the radius of the orbit of the electron in Be +3 would be equal to that for the ground state of electron in a hydrogen atom. Also compare the energy of the two states. 14. Write short note on LED (Light Emitting Diode) Short Answer Type uestions : Section C [4 Marks] 15. A battery having an emf of 1 volt and an internal resistance of is connected to another battery having an emf of 18 volt and an internal resistance of in such a way that they are opposing each other and the circuit is closed. Calculate the following: (1) current flowing in the circuit. () electrical power in the two batteries. (3) terminal voltage of the two batteries. (4) electric power consumed in the batteries. 16. A level measuring post (a rod) has been kept in a river of m depth vertically such that its in 1 m portion remains outside the river. At this instant, the sun makes an angle of 30 with the horizontal. Find the length of the shadow of the level measuring post on the bottom of the river. (The refractive index of water is 3 4.) 17. A slit of width d is illuminated by white light. For what value of d will the first minimum for red light of wavelength R = 6500 Å appear at θ = 15? What is the situation for violet colour having wavelength V = 4333 Å at the same point. sin 15 = As shown in figure β = 100, I C = 1.5 ma and R L = 4.7 k then find I B, V CE, V BE and V BC. 18. Draw the circuit diagram of halfwave rectifier and explain the working of the circuit. H.O. : Baroda [11/A Taksh Complex, Vasna Rd], Centres : Karelibaug [01, NBCC Plaza] Kota (R & D) www. rjvision.org 6

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