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

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A body of mass 1 kg is performing linear S.H.M. Its displacement x (cm) at t(second) is given by x = 6 sin `(100t + π/4)`. Maximum kinetic energy of the body is ______.

Two parallel S.H.M.s represented by `"x"_1 = 5 sin(4π"t" + π//3)` cm and `"x"_2 = 3sin (4π"t" + π//4)` cm are superposed on a particle. Determine the amplitude and epoch of the resultant S.H.M.

Answer in brief:

A wave is represented by an equation y = A sin (Bx + Ct). Given that the constants A, B and C are positive, can you tell in which direction the wave is moving?

In SI units, the differential equation of an S.H.M. is `(d^2x)/(dt^2)` = − 36x. Find its frequency and period.

A charge 6 µC is placed at the origin and another charge - 5 µC is placed on the y-axis at A = (0, 6.0 m). 

(a) Calculate the net electric potential at P = (8.0 m, 0).
(b) Calculate the work done in bringing a proton from infinity to point P. What is the significance of the negative sign?

One hundred and twenty five small liquid drops, each carrying a charge of 0.5 µC and of diameter 0.1 m form a bigger drop. Calculate the potential at the surface of the bigger drop.

When a plate of magnetic material of size 10 cm × 0.5 cm × 0.2 cm (length, breath, and thickness respectively) is located in a magnetizing field of 0.5 × 10⁴ A/m^-1, then a magnetic moment of 0.5 Am² is induced in it. Find the magnetic induction in the plate.

When a plate of magnetic material of size 10 cm × 0.5 cm × 0.2 cm (length, breath, and thickness respectively) is located in a magnetizing field of 0.5 × 10⁴ A/m^-1, then a magnetic moment of 0.5 Am² is induced in it. Find the magnetic induction in the plate.

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

Derive an expression for the difference in tensions at the highest and lowest point for a particle performing the vertical circular motion. 

Find the kinetic energy of 3 litre of gas at S.T.P given standard pressure is 1.013 × 10⁵ N/m². 

Determine the pressure of nitrogen at 0°C if the density of nitrogen at N.T.P. is 1.25 kg/m³ and R.M.S. speed of the molecules at N.T.P. is 489 m/s.  

What does the phase of π/2 indicate in linear S.H.M.? 

Define linear S.H.M.

In the law of tension, the fundamental frequency of the vibrating string is, ______   

State law of tension.

State law of linear density.

What is the resonance?

How the frequency of the vibrating wire is affected if the load is fully immersed in water? 

A sonometer wire of length 1 m is stretched by a weight of 10 kg. The fundamental frequency of vibration is 100 Hz. Determine the linear density of the material of the wire.