Maharashtra HSC Class 12 Physics February 2023 question paper
Maximum marks 70 · Time 3 hours
Try each question first, then open its model answer. Where the paper offers a choice, both questions are shown with OR between them.
Section A
1 mark each
- Q.1 (i)1 markIf 'n' is the number of molecules per unit volume and 'd' is the diameter of the molecules, the mean free path of molecules is
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- Q.1 (ii)1 markThe first law of thermodynamics is consistent with the law of conservation of _______.
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- Q.1 (iii)1 markis the Boolean expression for _______.
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- Q.1 (iv)1 markThe property of light which remains unchanged when it travels from one medium to another is ________.
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- Q.1 (v)1 markIf a circular coil of 100 turns with a cross-sectional area of is kept with its plane perpendicular to the magnetic field of 1 T, the magnetic flux linked with the coil will be ________.
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- Q.1 (vi)1 markIf represents the angle of contact made by a liquid which completely wets the surface of the container then ________.
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- Q.1 (vii)1 markThe LED emits visible light when its ________.
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- Q.1 (viii)1 markSoft iron is used to make the core of transformer because of its _______.
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- Q.1 (ix)1 markIf the maximum kinetic energy of emitted electrons in photoelectric effect is 2eV, the stopping potential will be _______.
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- Q.1 (x)1 markThe radius of eighth orbit of electron in H-atom will be more than that of fourth orbit by a factor of _______.
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- Answer the following questions:Q.2 (i)1 markWhat is the value of resistance for an ideal voltmeter?
- Q.2 (ii)1 markWhat is the value of force on a closed circuit in a magnetic field?
- Q.2 (iii)1 markWhat is the average value of alternating current over a complete cycle?
- Q.2 (iv)1 markAn electron is accelerated through a potential difference of 100 volt. Calculate de-Broglie wavelength in nm.
- Q.2 (v)1 markIf friction is made zero for a road, can a vehicle move safely on this road?
- Q.2 (vi)1 markState the formula giving relation between electric field intensity and potential gradient.
- Q.2 (vii)1 markCalculate the velocity of a particle performing S.H.M. after 1 second, if its displacement is given by m.
- Q.2 (viii)1 markWrite the mathematical formula for Bohr magneton for an electron revolving in orbit.
Section B
2 marks each · attempt any 8
- Q.32 marksDefine coefficient of viscosity. State its formula and S.I. units.
- Q.42 marksObtain an expression for magnetic induction of a toroid of 'N' turns about an axis passing through its centre and perpendicular to its plane.
- Q.52 marksState and prove principle of conservation of angular momentum.
- Q.62 marksObtain an expression for equivalent capacitance of two capacitors and connected in series.
- Q.72 marksExplain, why the equivalent inductance of two coils connected in parallel is less than the inductance of either of the coils.
- Q.82 marksHow will you convert a moving coil galvanometer into an ammeter?
- Q.92 marksA resistor is connected to a 220 V, 50 Hz supply. Calculate: (i) r.m.s. value of current and (ii) net power consumed over the full cycle
- Q.102 marksA bar magnet of mass 120 g in the form of a rectangular parallelepiped, has dimensions mm, mm and mm, with its dimension 'h' vertical, the magnet performs angular oscillations in the plane of the magnetic field with period seconds. If the magnetic moment is , determine the influencing magnetic field.
- Q.112 marksDistinguish between free vibrations and forced vibrations (Two points).
- Q.122 marksCompare the rate of loss of heat from a metal sphere at 827°C with rate of loss of heat from the same at 427°C, if the temperature of surrounding is 27°C.
- Q.132 marksAn ideal mono-atomic gas is adiabatically compressed so that its final temperature is twice its initial temperature. Calculate the ratio of final pressure to its initial pressure.
- Q.142 marksDisintegration rate of a radio-active sample is per hour at 20 hours from the start. It reduces to per hour after 30 hours. Calculate the decay constant.
Section C
3 marks each · attempt any 8
- Q.153 marksDerive laws of reflection of light using Huygens' principle.
- Q.163 marksState postulates of Bohr's atomic model.
- Q.173 marksDefine and state unit and dimensions of : (i) Magnetization (ii) Magnetic susceptibility
- Q.183 marksWith neat labelled circuit diagram, describe an experiment to study the characteristics of photoelectric effect.
- Q.193 marksExplain the use of potentiometer to determine internal resistance of a cell.
- Q.203 marksExplain the working of n-p-n transistor in common base configuration.
- Q.213 marksState the differential equation of linear S.H.M. Hence, obtain expression for : (i) acceleration (ii) velocity
- Q.223 marksTwo tuning forks of frequencies 320 Hz and 340 Hz are sounded together to produce sound wave. The velocity of sound in air is 326.4 m/s. Calculate the difference in wavelengths of these waves.
- Q.233 marksIn a biprism experiment, the fringes are observed in the focal plane of the eye-piece at a distance of 1.2 m from the slit. The distance between the central bright band and the 20th bright band is 0.4 cm. When a convex lens is placed between the biprism and the eye-piece, 90 cm from the eye-piece, the distance between the two virtual magnified images is found to be 0.9 cm. Determine the wavelength of light used.
- Q.243 marksCalculate the current flowing through two long parallel wires carrying equal currents and separated by a distance of experiencing a force per unit length of .
- Q.253 marksAn alternating voltage given by is connected across a pure resistor of . Calculate : (i) the frequency of the source (ii) the r.m.s current through the resistor
- Q.263 marksAn electric dipole consists of two opposite charges each of magnitude , separated by 2 cm. The dipole is placed in an external electric field of N/C. Calculate the : (i) maximum torque experienced by the dipole and (ii) work done by the external field to turn the dipole through 180°.
Section D
4 marks each · attempt any 3
- Q.274 marksOn the basis of kinetic theory of gases obtain an expression for pressure exerted by gas molecules enclosed in a container on its walls.
- Q.28 (i)4 marksDerive an expression for energy stored in the magnetic field in terms of induced current.
- Q.28 (ii)A wire 5 m long is supported horizontally at a height of 15 m along east-west direction. When it is about to hit the ground, calculate the average e.m.f. induced in it. ()
- Q.29 (i)4 marksDerive an expression for the work done during an isothermal process.
- Q.29 (ii)104 J of work is done on certain volume of a gas. If the gas releases 125 kJ of heat, calculate the change in internal energy of the gas.
- Q.30 (i)4 marksObtain the relation between surface energy and surface tension.
- Q.30 (ii)Calculate the work done in blowing a soap bubble to a radius of 1 cm. The surface tension of soap solution is .
- Q.314 marksDerive expressions for linear velocity at lowest position, mid-way position and the top-most position for a particle revolving in a vertical circle, if it has to just complete circular motion without string slackening at top.