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Physics 1

2010 March

Science 12th HSC

Board Exam

Maharashtra State Board

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Physics 2

2010 March

Science 12th HSC

Board Exam


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Physics 1

2011 March

Science 12th HSC

Board Exam


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Physics 2

2011 March

Science 12th HSC

Board Exam


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Physics 1

2012 March

Science 12th HSC

Board Exam


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Physics 2

2012 March

Science 12th HSC

Board Exam


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TARGET Publications

297

Board Question Paper

td. XII c .: Per ect Phys cs - I

HSC Maharashtra Board question paper: March 2013

Note:i. All question are compulsory

ii. Neat diagrams must be drawn wherever necessary.

iii. Figure to the right indicate full marks.

iv. Use of logarithmic table is allowed.

v. All symbols have their usual meaning unless otherwise stated.

PHYSICS: SECTION IQ. 1. Select and write the most appropriate answer from the given alternatives for each sub-question: [7]

i. The moment of inertia of a thin uniform rod of mass M and length L, about an axis passing through a

point, midway between the centre and one end, perpendicular to its length is ______.

(A)48

7

ML2 (B)7

48

ML2 (C)1

48

ML2 (D)1

16

ML2

ii. n droplets of equal size of radius r coalesce to form a bigger drop of radius R. The energy liberated

is equal to _______. (T = Surface tension of water)

(A) 4R2T[

1

3n 1 ] (B) 4r2T[

1

3n 1 ]

(C) 4R2T[

2

3n 1 ] (D) 4r2T[

2

3n 1 ]

iii. The buckling of a beam is found to be more if _______.

(A) the breadth of the beam is large.

(B) the beam material has large value of Youngs modulus.

(C) the length of the beam is small.

(D) the depth of the beam is small.

iv. When a transverse wave on a string is reflected from the free end, the phase change produced is

_______.

(A) zero rad (B)2

rad (C)

3

4

rad (D) rad

v. The number of degrees of freedom for a rigid diatomic molecule is _______.

(A) 3 (B) 5 (C) 6 (D) 7

vi. Two particles perform linear simple harmonic motion along the same path of length 2A and period T

as shown in the graph below. The phase difference between them is _______.

(A) zero rad (B)4

rad (C)

2

rad (D)

3

4

rad

Displacement

O

A

A

1

4 T

2

3T

4T

A

2

(Time)

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TARGET Publications

Board Question Paper298

td. XII c .: Per ect Phys cs - II

vii. The light from the Sun is found to have a maximum intensity near the wavelength of 470 nm.

Assuming the surface of the Sun as a black body, the temperature of the Sun is _______.

[Wiens constant b = 2.898 103mK]

(A) 5800 K (B) 6050 K (C) 6166 K (D) 6500 K

Q. 2. Attempt any SIX: [12]

i. State Keplers law of orbit and law of equal areas.

ii. A car of mass. 1500 Kg rounds a curve of radius 250m at 90 Km/hour. Calculate the centripetal force

acting on it.

iii. Draw a neat labelled diagram for Ferrys perfectly black body.

iv. A mass M attached to a spring oscillates with a period of 2 seconds. If the mass is increased by 2 Kg,

the period increases by 1 second. Find the initial mass, assuming that Hookes law is obeyed.

v. Differentiate between free and forced vibrations.

vi. The surface tension of water at 0C is 75.5 dyne/cm. Find surface tension of water at 25

C. [

for

water = 0.0021/C]

vii. Derive the relation between surface tension and surface energy per unit area.

viii. A wheel of moment of inertia 1 Kgm2is rotating at a speed of 40 rad/s. Due to friction on the axis, the

wheel comes to rest in 10 minutes. Calculate the angular momentum of the wheel, two minutes before

it comes to rest.

Q. 3. Attempt any THREE: [9]

(i) A particle of mass m, just completes the vertical circular motion. Derive the expression for the

difference in tensions at the highest and the lowest points.

(ii) The Earth is rotating with angular velocity about its own axis. R is the radius of the Earth. If R2=

0.03386m/s2, calculate the weight of a body of mass 100 gram at lattitude 25. (g = 9.8 m/s2)

(iii) Derive an expression for kinetic energy, when a rigid body is rolling on a horizontal surface without

slipping. Hence find kinetic energy for a solid sphere.

(iv) A steel wire of diameter 1 103m is stretched by a force of 20 N. Calculate the strain energy per

unit volume. (Y steel = 2 1011N/m2)

Q. 4. Define an ideal simple pendulum. Show that, under certain conditions, simple pendulum performs linear

simple harmonic motion. [7]

A train blows a whistle of frequency 640 Hz in air. Find the difference in apparent frequencies of thewhistle for a stationary observer, when the train moves towards and away from the observer with the speed

of 72 Km/hour. [Speed of sound in air = 340 m/s.]

OR

With a neat labelled diagram, show that all harmonics are present in an air column contained in a pipe open

at both the ends. Define end correction.

Calculate the kinetic energy of 10 gram of Argon molecules at 127C.

[Universal gas constant R = 8320 J/k mole K, Atomic weight of Argon = 40]

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TARGET Publications

323

Board Question Paper


HSC Maharashtra Board question paper: March 2013

Note:i. All question are compulsoryii. Neat diagrams must be drawn wherever necessary.iii. Figure to the right indicate full marks.iv. Use of logarithmic table is allowed.v. All symbols have their usual meaning unless otherwise stated.

PHYSICS: SECTION II

Q.1. Select and write the most appropriate answer from the given alternatives for each sub-

question : [7]

i. In the diffraction pattern due to a single slit of width d with incident light of wavelength, at an angle of diffraction , the condition for first minimum is _______.(A) sin = d (B) d cos = (C) d sin = (D) cos = d

ii. Kirchhoffs junction law is equivalent to _______.(A) conservation of energy(B) conservation of charge(C) conservation of electric potential(D) conservation of electric flux

iii. let p and E denote the linear momentum and energy of emitted photon respectively. Ifthe wavelength of incident radiation is increased _______.

(A) both p and E increase(B) p increases and E decreases(C) p decreases and E increases(D) both p and E decrease

iv. The nuclei having same number of protons but different number of neutrons are called_______.(A) isobars (B) - particles(C) isotopes (D) - particles

v. In case of transistor oscillator, to obtain sustained oscillations, the product of voltage gainwithout feedback and feedback factor should be _______.

(A) zero (B) less than 1(C) one (D) infinity

vi. The process of regaining of information from carrier wave at the receiver is called _____.(A) modulation (B) transmission(C) propagation (D) demodulation

vii. Reactance of a coil is 157 . On connecting the coil across a source of frequency 100 Hz,the current lags behind e.m.f. by 45. The inductance of the coil is _______.(A) 0.25 H (B) 0.5 H(C) 4 H (D) 314 H

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TARGET Publications

Board Question Paper324


Q.2. Attempt any SIX: [12]

i. Draw a neat labelled diagram of a parallel plate capacitor completely filled withdielectric.

ii. A point is situated at 7cm and 7.2 cm from two coherent sources. Find the nature ofillumination at the point if wavelength of light is 4000.

iii. Obtain the expression for current sensitivity of moving coil galvanometer.

iv. In a cyclotron, magnetic field of 3.5 Wb/m2is used to accelerare protons. What should bethe time interval in which the electric field between the Dees be reversed?(Mass of proton = 1.67 1027Kg, Charge on proton = 1.6 1019C).

v. Define magnetization. State its formula and S.I. unit.vi. Electrostatic energy of 3.5 104J is stored in a capacitor at 700 V. What is the charge

on the capacitor?

vii. What is space wave propagation? State its three components.

viii. Find the value of energy of electron in eV in the third Bohr orbit of hydrogen atom.(Rydbergs constant (R) = 1.097 107m1,Plancks constant (h) = 6.63 1034J s,Velocity of light in air (c) = 3 108m/s.)

Q.3. Attempt any THREE: [9]

i. With the help of neat labelled circuit diagram explain the working of half wave rectifierusing semiconductor diode. Draw the input and output waveforms.

ii. A cell balances against a length of 200 cm on a potentiometer wire, when it is shunted bya resistance of 8. The balancing length reduces by 40 cm, when it is shunted by aresistance of 4. Calculate the balancing length when the cell is in open circuit. Also

calculate the internal resistance of the cell.iii. State the law of radioactive decay. Hence derive the expression N = Noet where

symbols have their usual meanings.

iv. The photoelectric work function for a metal is 4.2 eV. If the stopping potential is 3V, findthe threshold wavelength and maximum kinetic energy of emitted electrons.(Velocity of light in air = 3 108m/s,Plancks constant = 6.63 1034J s,Charge on electron = 1.6 1019C)

Q.4. State Faradays laws of electromagnetic induction and Lenzs law. [7]

Prove theoretically, the relation between e.m.f. induced and rate of change of magnetic flux in acoil moving in a uniform magnetic field.

A circular coil of 250 turns and diameter 18 cm carries a current of 12A. What is the magnitudeof magnetic moment moment associated with the coil?

OR

On the basis of Huygens wave theory of light prove that velocity of light in a rarer medium isgreater that velocity of light in a denser medium.

In Youngs experiment the ratio of intensity at the maxima and minima in the interferencepattern is 36:16. What is the ratio of the widths of the two slits?

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TargetPublications Pvt. Ltd. Board Question Paper: March 2014

337

BOARD QUESTION PAPER: MARCH 2014

PHYSICS I (12th

Sci., HSC, Maharashtra)

Note:

i. All questions are compulsory.

ii. Neat and well labelled diagrams must be drawn wherever necessary.

iii. Figures to the right indicate full marks.

iv. Use of only logarithmic table is allowed.


SECTION I

Q.1. Attempt any SIX : [12]

i. Explain the rise of liquid in the capillary on the basis of pressure difference.

ii. Show graphical representation of energy distribution spectrum of perfectly black body.

iii. The escape velocity of a body from the surface of the earth is 11.2 km/s. If a satellite were to

orbit close to the surface, what would be its critical velocity?

iv. A pipe which is open at both ends is 47 cm long and has an inner diameter 5 cm. If the speed

of sound in air is 348 m/s, calculate the fundamental frequency of air column in that pipe.

v. Show that R.M.S. velocity of gas molecules is directly proportional to square root of its

absolute temperature.

vi. For a particle performing uniform circular motion v r

obtain an expression for linear

acceleration of the particle performing non-uniform circular motion.

vii. A stone of mass 1 kg is whirled in horizontal circle attached at the end of a 1 m long string. If

the string makes an angle of 30with vertical, calculate the centripetal force acting on thestone. (g = 9.8 m/s2).

viii. A solid cylinder of uniform density of radius 2 cm has mass of 50 g. If its length is 12 cm,

calculate its moment of inertia about an axis passing through its centre and perpendicular to

its length.

Q.2. Attempt any THREE : [9]

i. Derive an expression for acceleration due to gravity at depth d below the earths surface.

ii. A copper metal cube has each side of length 1 m. The bottom edge of the cube is fixed andtangential force 4.2 108N is applied to a top surface. Calculate the lateral displacement ofthe top surface if modulus of rigidity of copper is 14 1010N/m2.

iii. State an expression for K. E. (kinetic energy) and P. E. (potential energy) at displacement x

for a particle performing linear S.H. M. Represent them graphically. Find the displacement at

which K. E. is equal to P. E.

iv. The equation of simple harmonic progressive wave is given by y = 0.05 sinx

20t6

, where

all quantities are in S. I. units. Calculate the displacement of a particle at 5 m from origin and

at the instant 0.1 second.

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TargetPublications Pvt. Ltd. Std. XII Sci.: Perfect Physics - I

338

Q.3. A. State and prove the theorem of parallel axes. [7]B. Calculate the density of paraffin oil, if glass capillary of diameter 0.25 mm dipped in paraffin

oil of surface tension 0.0245 N/m rises to a height of 4 cm.

(Angle of contact of paraffin with glass = 28 and acceleration due to gravity = 9.8 m/s2

.)ORA. A wire of density and Youngs modulus Y is stretched between two rigid supports

separated by a distance L under tension T. Derive an expression for its frequency in

fundamental mode. Hence show that n =1 Y

2L L

l, where symbols have their usual meanings.

B. When the length of a simple pendulum is decreased by 20 cm, the period changes by 10%.Find the original length of the pendulum.

Q.4. Select and write the most appropriate answer from the given alternatives for each sub-question: [7]

i. The bulging of earth at the equator and flattening at the poles is due to _______.(A) centripetal force (B) centrifugal force(C) gravitational force (D) electrostatic force

ii. Youngs modulus of material of wire is Y and strain energy per unit volume is E, then thestrain is

(A)Y

2E (B)

E

Y

(C)2E

Y (D) 2EY

iii. The wavelength range of thermal radiation is(A) from 4000 to 7000 (B) from 7700 to 4 106(C) from 106 to 108 (D) from 4 1012 to 4 108

iv. A pipe open at both ends resonates to a frequency n1 and a pipe closed at one end resonates

to a frequency n2. If they are joined to form a pipe closed at one end, then the fundamentalfrequency will be ______.

(A) 1 22 1

n n

2n n (B) 2 1

2 1

2n n

2n n

(C) 2 11 2

2n n

n n (D) 2 1

1 2

n 2n

n n

v. The phase difference between displacement and acceleration of a particle performing S.H.M.is _______.

(A) rad2

(B) rad

(C) 2rad (D) 3 rad

2

vi. Let n1and n2be the two slightly different frequencies of two sound waves. The time interval

between waxing and immediate next waning is ______.

(A)1 2

1

n n (B)

1 2

2

n n

(C) 1 2n n

2

(D)

1 2

1

2(n n )

vii. A metal ball cools from 64 C to 50 C in 10 minutes and to 42 C in next 10 minutes. Theratio of rates of fall of temperature during the two intervals is _______.

(A)4

7 (B)

7

4

(C) 2 (D) 2.5

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TargetPublications Pvt. Ltd. Std. XII Sci.: Perfect Physics - II

368

BOARD QUESTION PAPER: MARCH 2014

PHYSICS II (12th

Sci., HSC, Maharashtra)

Note:

i. All questions are compulsory.

ii. Neat and well labelled diagrams must be drawn wherever necessary.

iii. Figures to the right indicate full marks.

iv. Use of only logarithmic table is allowed.


SECTION II

Q. 5. Attempt any SIX : [12]

i. Show that the orbital magnetic dipole moment of a revolving electron iseVr

2.

ii. Describe the construction of photoelectric cell.

iii. For a glass plate as a polariser with refractive index l.633, calculate the angle of incidence at

which light is polarised.

iv. The susceptibility of magnesium at 300 K is 2.4 105. At what temperature will the

susceptibility increase to 3.6 105?

v. Draw a neat labelled diagram for Davisson and Germer experiment, for diffraction of electronwave.

vi. Explain the terms : (a) Transmitter and (b) Receiver in communication system.

vii. A metal rod1

m long rotates about one of its ends perpendicular to a plane whose

magnetic induction is 4 103T. Calculate the number of revolutions made by the rod per

second if the e.m.f. induced between the ends of the rod is 16 mV.

viii. Find the wave number of a photon having energy of 2.072 eV.

Given : Charge on electron = 1.6 1019C,

Velocity of light in air = 3 108

m/s,Plancks constant = 6.63 1034J-s.

Q. 6. Attempt any THREE : [9]

i. State Amperes circuital law. Obtain an expression for magnetic induction along the axis of

toroid.

ii. Calculate the radius of second Bohr orbit in hydrogen atom from the given data.

Mass of electron = 9.1 1031kg

Charge on the electron = 1.6 1019C

Plancks constant = 6.63 1034Js.

Permittivity of free space = 8.85 1012C2/Nm2

This question paper is an extract from our t itlePerfect Physics - II for Std. XII Science, MH Board.Visit www.targetpublications.org to know more

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TargetPublications Pvt. Ltd. Std. XII Sci.: Perfect Physics - II

(A) stratosphere (B) mesosphere

(C) troposphere (D) ionosphere

iv. Accuracy of potentiometer can be easily increased by _______.

(A) increasing resistance of wire (B) decreasing resistance of wire

(C) increasing the length of wire (D) decreasing the length of wire

v. When electron in hydrogen atom jumps from second orbit to first orbit, the wavelength of

radiation emitted is . When electron jumps from third orbit to first orbit, the wavelength of

emitted radiation would be _______.

(A)27

32 (B)

32

27

(C)2

3 (D)

3

2

vi. An ideal voltmeter has _______.

(A) low resistance (B) high resistance

(C) infinite resistance (D) zero resistance

vii. The resolving power of telescope of aperture 100 cm for light of wavelength 5.5 107m is

_______.

(A) 0.149 10+7 (B) 1.49 10+7

(C) 14.9 10+7 (D) 149 10+7

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Physics 2010-14.pdf