HSC Science (Computer Science) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions

At what distance from the mean position is the speed of a particle performing S.H.M. half its maximum speed. Given the path length of S.H.M. = 10 cm.

Explain why the inductance of two coils connected in parallel is less than the inductance of either coil.

When the displacement of a simple harmonic oscillator is half of its amplitude, its P.E. is 3 J. Its total energy is ______ 

Deduce the expression for kinetic energy, potential energy, and total energy of a particle performing S.H.M. State the factors on which total energy depends. 

Two pure inductors each of self-inductance L are connected in series, the net inductance is ______  

A coil of self-inductance 3 H carries a steady current of 2 A. What is the energy stored in the magnetic field of the coil? 

Define self-inductance.

Obtain an expression for the self-inductance of a solenoid.

In a series LCR circuit at resonance, the applied emf and current are - ______ 

A series LCR resonant circuit is used as ______

A parallel LC resonant circuit is used as ______ 

In the LCR series circuit, what is the condition for current resonance? 

State any one characteristic of a parallel LC AC resonance circuit.

State any two characteristics of a series LCR AC resonance circuit.

In the LCR series circuit, what are the (a) impedance and (b) reactance at current resonance? 

A coil of resistance 10 Ω and inductance 100mH and a capacitor of variable capacitance are connected across a 20V, 50Hz A.C. supply. At what capacitance will resonance occur?

Obtain the expression for the resonant frequency of the LCR series circuit and explain electrical resonance in an LCR series circuit.

Calculate the current flowing through two long parallel wires carrying equal currents and separated by a distance of 1.35 cm experiencing a force per unit length of 4.76 × 10^-2 N/m.

An electric lamp connected in series with a capacitor and an AC source glows with a certain brightness. (a) How does the average power change on increasing the capacitance? (b) How does the brightness of the lamp change on increasing the capacitance?

An air-cored solenoid, 40 cm long and of cross-sectional area 5 cm², is tightly wound with 400 turns of copper wire and carries a steady current of 10 A. (a) Calculate the self-inductance of the solenoid. (b) Find the emf induced if the current in the solenoid decreases to zero in 0.2 s.