HSC Science (Electronics) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions for Physics

Draw neat labelled diagrams for modes of vibration of an air column in a pipe when it is closed at one end.

Hence derive an expression for fundamental frequency in each case.

Define coefficient of mutual induction. 

Explain the phenomenon of mutual induction.

What is meant by harmonics?

Show that only odd harmonics are present as overtones in the case of an air column vibrating in a pipe closed at one end.

Show that even as well as odd harmonics are present as overtones in the case of an air column vibrating in a pipe open at both the ends.

A wheel of moment of inertia 1 kg.m² is rotating at a speed of 30 rad/s. Due to friction on the axis, it comes to rest in 10 minutes. Calculate the average torque of the friction.

State the Stefan-Boltzmann law.

A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 10 A in 0.2 s, what is the change of flux linkage with the other coil?

An emf of 96.0 mV is induced in the windings of a coil when the current in a nearby coil is increasing at the rate of 1.20 A/s. What is the mutual inductance (M) of the two coils?

A long solenoid of length l, cross-sectional area A and having N₁ turns (primary coil), has a small coil of N₂ turns (secondary coil) wound about its center. Determine the Mutual inductance (M) of the two coils.

Calculate the binding energy of an alpha particle given its mass to be 4.00151 u.

An electron in hydrogen atom stays in its second orbit for 10⁻⁸ s. How many revolutions will it make around the nucleus at that time?

In a periodic table the average atomic mass of magnesium is given as 24.312 u. The average value is based on their relative natural abundance on earth. The three isotopes and their masses are\[\ce{_12^24Mg}\](23.98504 u), \[\ce{_12^25Mg}\] (24.98584 u), and \[\ce{_12^26Mg}\] (25.98259 u). The natural abundance of \[\ce{_12^24Mg}\] is 78.99% by mass. Calculate the abundances of other two isotopes.

Calculate the energy radiated in one minute by a blackbody of surface area 100 cm² when it is maintained at 227°C. (Given: σ = 5.67 × 10⁻⁸ W/m².K⁴)

A small blackened solid copper sphere of radius 2.5 cm is placed in an evacuated chamber. The temperature of the chamber is maintained at 100 °C. At what rate must energy be supplied to the copper sphere to maintain its temperature at 110 °C? (Take Stefan’s constant σ to be 5.67 × 10^-8 J s^-1 m^-2 K^-4) and treat the sphere as a blackbody.)

A wire loop of the form shown in the following figure carries a current I. Obtain the magnitude and direction of the magnetic field at P. (Given: `B = (mu_0I)/(4pir) sqrt2` due to

The magnetic field at the centre of a circular current carrying loop of radius 12.3 cm is 6.4 × 10^-6 T. What is the magnetic moment of the loop?

A circular loop of radius 9.7 cm carries a current 2.3 A. Obtain the magnitude of the magnetic field
(a) at the centre of the loop
(b) at a distance of 9.7 cm from the centre of the loop but on the axis.

The mutual inductance of two coils is 10 mH. If the current in one of the coil changes from 5 A to 1 A in 0.2 s, calculate the emf induced in the other coil. Also calculate the induced charge flowing through the coil if its resistance is 5 Ω.