#### 12th Standard English Medium Physics Reduced syllabus Five mark important Questions with Answer key - 2021(Public Exam )

12th Standard

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Physics

Time : 01:00:00 Hrs
Total Marks : 125

5 Marks

25 x 5 = 125
1. A parallel plate capacitor has square plates of side 5 cm and separated by a distance of 1 mm.
(a) Calculate the capacitance of this capacitor.
(b) If a 10 V battery is connected to the capacitor, what is the charge stored in any one of the plates? (The value of εo = 8.85 x 10-12 Nm2 C-2)

2. Dielectric strength of air is 3 × 106 V m-1. Suppose the radius of a hollow sphere in the Van de Graff generator is R = 0.5 m, calculate the maximum potential difference created by this Van de Graaff generator.

3. Five identical charges Q are placed equidistant on a semicircle as shown in the figure. Another point charge q is kept at the center of the circle of radius R. Calculate the electrostatic force experienced by the charge q.

4. The electrostatic potential is given as a function of x in figure (a) and (b). Calculate the corresponding electric fields in regions A, B, C and D. Plot the electric field as a function of x for the figure (b).

5. A battery of voltage V is connected to 30 W bulb and 60 W bulb as shown in the figure. (a) Identify brightest bulb (b) which bulb has greater resistance?
(c) Suppose the two bulbs are connected in series, which bulb will glow brighter?

6. A copper wire of 10-6 m2 area of cross section, carries a current of 2 A. If the number of electrons per cubic meter is 8 × 1028, calculate the current density and average drift velocity.

7. The rod given in the figure is made up of two different materials.

B
oth have square cross sections of 3 mm side. The resistivity of the first material is 4 x 10-3 Ω.m and it is 25 cm long while second material has resistivity of 5 x 10-3 Ω.m and is of 70 cm long. What is the resistivity of rod between its ends?

8. A particle of charge q moves with velocity $\vec { v }$ along positive y -direction in a magnetic field $\vec { B }$ .Compute the Lorentz force experienced by the particle
(a) when magnetic field is along positive y-direction
(b) when magnetic field points in positive z - direction
(c) when magnetic field is in zy - plane and making an angle θ with velocity of the particle. Mark the direction of magnetic force in each case.

9. A proton moves in a uniform magnetic field of strength 0.500 T magnetic field is directed along the x-axis. At initial time,
t =0s, the proton has velocity
$\hat { v } =(1.95\times { 10 }^{ -5 }\hat { i } +2.00\times { 10 }^{ 5 }\hat { k } )m{ s }^{ -1 }$
(a) At initial time, what is the acceleration of the proton.
(b) Is the path circular or helical?. If helical, calculate the radius of helical trajectory and also calculate the pitch of the helix (Note: Pitch of the helix is the distance travelled along the helix axis per revolution).

10. A circular coil with cross-sectional area 0.1 cm2 is kept in a uniform magnetic field of strength 0.2 T. If the current passing in the coil is 3 A and plane of the loop is perpendicular to the direction of magnetic field. Calculate
(a) total torque on the coil
(b) total force on the coil
(c) average force on each electron in the coil due to the magnetic field of the free electron density for the material of the wire is 1028 m-3.

11. A non - conducting sphere has a mass of 100 g and radius 20 cm. A flat compact coil of wire with turns 5 is wrapped tightly around it with each turns concentric with the sphere. This sphere is placed on an inclined plane such that plane of coil is parallel to the inclined plane. A uniform magnetic field of 0.5 T exists in the region in vertically upward direction. Compute the current I required to rest the sphere in equilibrium.

12. A 3.0m wire carrying a current of 10A is placed inside a solenoid perpendicular to its axis. The magnetic field inside the solenoid is given to the 0.277. What is the magnetic force on the wire?

13. A coil of 200 turns carries a current of 4 A. If the magnetic flux through the coil is 6 x 10-5 Wb, find the magnetic energy stored in the medium surrounding the coil.

14. A graph between the magnitude of the magnetic flux linked with a closed loop and time is given in the figure. Arrange the regions of the graph in ascending order of the magnitude of induced emf in the loop.

15. A wheel with 10 metallic spokes each 0.5m long is rotated with a speed of 120 rev/min in a plane normal to the horizontal component of the earth's magnetic field HE at a place if H= 0.4 G at the place) what is the induced emf between the a x k and the rim of the wheel? Take) 1 gauss (G) = 10-4T.

16. A small bulb is placed at the bottom of a tank containing water to a depth of 80 cm, What is the area of the surface of water through which light from the bulb can emerge out? Refractive index of water is 1.33. (Consider the bulb to be a point source.)

17. In Young's double slit experiment, the slits are 2 mm apart and are illuminated with a mixture of two wavelength λ0= 750 nm and λ= 900mm. What is the minimum distance from the common central bright fringe on a screen 2 m from the slits where a bright fringe from one interference pattern coincides with a . bright fringe from the other?

18. The focal length of an equiconvex lens is equal to the radius of curvature of either face. What is the value of refractive index of the material of the lens?

19. How many photons per second emanate from a 50 mW laser of 640 nm?

20. A 150W lamp emits light of mean wavelength of 5500 A. If the efficiency is 12%, find out the number of photons emitted by the lamp in one second.

21. When a 6000 A light falls on the cathode of a photo cell and produced photoemission. If a stopping potential of 0.8 V is required to stop emission of electron, then determine the
(i) frequency of the light
(ii) energy of the incident photon
(iii) work function of the cathode material
(iv) threshold frequency and
(v) net energy of the electron after it leaves the surface.

22. Write the characteristics of photons.

23. Show that the mass of radium $(_{ 88 }^{ 226 }{ Ra })$ with an activity of 1 curie is almost a gram.
Given T1/2 = 1600 years.

24. A transistor having a = 0.99 and VBE = 0.7V collector current, is given in the circuit. Find the value of the collector current.

25. Explain about satellite communication in detail.