1. An observe looks at a tree of height 15 m with a telescope of magnifying power 10. Appears to him
(A) 10 times taller
(B) 15 times taller
(C) 15 time nearer
(D) 10 time nearer
2.A uniform wire of length l and resistance R is gradually stretched by applying a force. Its resistance R versus length l graph will be
3.In an AC circuit, the voltage applied is E=E0sint. The Resulting current in the circuit is
I= Iosin(t-/2).Power constumption in the circuit is
4. in the nuclear reaction
The mass number (A) and charge number (Z) of nucleus x have the respective value
(A) 234,88
(B) 230,92
(C) 230,90
(D) 228,90
5. write the function of a repeater used in communication system.
6. An ebonite Rod is rubbed with fur. Is there any transfer of mass from the fur To the rod ?Justify your answer.
7. the barrier potential of a silicon p-n junction is 0.7.v. can we measure it Using a voltmeter ?
8. What is the importance of modulation index in communication system ?
GOA Board HSSC Model Papers 2021, Design of the Question PANDOLE STUDY
Section- B
9. Two Short magnets having dipole movement M each are fastened perpendicularly at their centrers as shown in the figure. find the magnitude of the magnetic field of the combination at distance d from the centre on bisector at right angle to the plane of the system.
1o. Using einstein’s Photoelectric equation show how one can determine the value of (i) Planck’s content and (ii) work function of the photo- sensitive material used.
11. A Plane is fixed at a height h above from the bottom of a beaker. the beaker contains water of refractive in index index, Height d as shown in the figure. find the position of the image off the bottom as formed by the mirror
12. figure show a graph of Coulomb force (F) versus 1/r2 for two pairs of point charges in two different situations: (a) two charges are q1 And q2 and (b) two charges are q1 and q3.
(q1 and q3). Here ‘r’ is the separation between the. Charges. If q1 is positive and last in magnitude,
(i) What is the nature i.e. sigh of q2 and q3 respectively ?
(ii) plot a graph Sewing variation of force between q1 and (q2+q3) with 1/r2.
Or
Two large conducting plane plates p1 and p2 are kept in contact between two identical metal balls having -q and +q charges as shown in the figure
(i)Sketch electric field lines between the balls and plates.
(ii) what happens when the plates are released ?
13. Derive the expression for the de-Broglie wavelength of electron accelerated through a potential difference of v volts.
14. draw a plot of binding energy per nucleon (BE/A) vs mass number A for Nuclei in the range 2 A250.
15. The electric mains in a house is rated 220 v, 50 Hz , write down the question for the instantane ous voltage. what is the time taken by the voltage to change from its maximum value to its rms value ?
GOA Board HSSC Model Papers 2021, Design of the Question PANDOLE STUDY
Section- C
16. (i) State principle of working of a moving coil galvanometer.
(ii) why do we need radial magnetic field in this device ?
(iii) while using a galvanometer as a voltmeter a high resistance is connected in series will using a galvanometer as an ammeter a shount is used. give reason.
17. define drift velocity of free electrons in a conductor, establish the relationship between drift velocity and the electric current.
Or
State kirchhoff’s rule for an electrical network and Derive the condition off balance in a wheatstone bridge.
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GOA Board HSSC Model Papers 2021, Design of the Question PANDOLE STUDY
18. what is the importance of coherent source in young’s double slit experiment ? obtain the pression for the fringe width in terms of wave length Of light, distance from the slits to the screen D and separation between the two slide d.
19. (i) Two Straight long parallel conducting wire carry current I1 and I2 in the same direction. deduce an expression for force per unit length between them.
(ii) use this expression to define SI unit of current.
(iii) sketch the pattern of magnetic field lines around them.
20. (a) draw a sketch play propagating in space. also indicate the direction of the oscillating electric and magnetic field associated with the wave. what determines the speed of propagation of electromagnetic wave ?
GOA Board HSSC Model Papers 2021, Design of the Question PANDOLE STUDY
(b) how are electromagnetic waves produced by oscillating charges ?
21. explain with the help of labeled ray diagram, the working of a compound microscope. Why must Both the objective and eye piece of compound microscope have thought focal lengths ?
22. (a) Using bohr’s postulate of quantization of orbital angular momentum, show that the circumference of the orbit of electron in the nth state of hydrogen atom is n times the de-Broglie wavelength associated with it.
(b) calculate the shortest wavelength of the line emitted in the Balmer series of hydrogen spectrum.
23. state two difference between n- type and p- type semiconductors.
A specimen of pure semiconductor s is connected in series with a Variable resistance R, an Amita and a cell how would you change the value of R to Keep the reading of the Ammeter constant, when same is heated ? explain.
24. Figure shows the experimental setup of a matre bridge. the Galvanometer Shows no deflecation when movable contact (j) touches the meter bridge wire at D such that AD = 40 cm.
If a 30 Resistor is connected in parallel with x2, the balance Point shifts by 10 cm.
(i) find the value of x1 and x2
(ii) find the position of balance point, if 30 resistor is Connected in parallel with x1.
GOA Board HSSC Model Papers 2021, Design of the Question PANDOLE STUDY
25. With the help of a tablet circuit diagram, briefly explain the working of a common emitter n-p-n transistor amplifier. define its voltage gain.
Or
draw circuit diagram of a full wave rectifier using p-n Junction diodes. explain its working and so the input and output waveforms.
26. what is the frequency range at which TV signals IR transmitter and why ?
the height of a TV Tower is 80 metre calculate the range up to which signals from the tower can be received.
Section- D
27. (a) using phasor diagram, derive an expression for the impedance of a series LCR circuit.
(b) give the reading in the voltmeter and ammeter of the circuit shown in the figure.
Or
(a) Derive the expression for the mutual inductance of two long coaxial solenoids, Each of length l , wound one over the other, the inner solenoid has radius r1 and N1 number of turns and the outer solenoid has radius r2 and N2 number of turns.
(b) figure shows an Arrangement by which the current flows in the bulb (B) connected with coil Y When AC is passed through coil x . explain (i) why the bulb length up and (ii) if a copper sheet is inserted in the gap between the coil x and Y, how the brightness of the bulb would change.
GOA Board HSSC Model Papers 2021, Design of the Question PANDOLE STUDY
28. (a) Draw a ray diagram to show the formation of a real image of a point object due to a convex sperical refracting surface, when a Ray of light is travelling from rarer medium of refractive 1to a denser medium of refractive index 2. Hence Derive the relation between object , distance, image distance and radius of curvatere of the spherical surface.
(b) An object is placed in front of right angled asosceles Prism ABC in TWO positions as shown . The reason is made of crown glass with critical angle of 41° trace the path of the rays from p and Q in each of the two cases.
Or
(a) Distinguish between unpolarized and linearly polarized light.
How is linerly polarized light produced ?
(b) unpolarised light is incident on surface separating two media of refractive indices 1 and 2 (1<2). obtain the condition use diagram they gets completedly polarized.
29. (a) Define electrostatic potential at a point . derive expression for the electrostatic potential energy of a pair of charge q1 and q2 kept r distance apart in free space.
(b) an electric dipole consists of +1 CAnd -1 CCharges kept 10 cm apart. if it experiences
(i) Its Organisation in the field,
(ii) potential energy of the dipole,
(iii) work done in turing it from it initial orientation to its orientation in unstable equilibrium.
Or
(a)Define capacitance of capacitor. Obtain expression for the equivalent capacitance of to capacitor C1 and C2 connected in parallel across a battery .
(b) A parallel plate capacitor is connected across a battery, after sometime, the battery is disconnected. the plates are pulled apart it twice the initial separation and dielectric slab of dielectric constant k=10 if kept inside the capacitor filling the entire space between its plates, how will the
(i) energy stored in the capacitor,
(ii) capacitance of the capacitor and
(iii) electric field between the plates affected in this cases? Justify your answer where in each case.