Science (English Medium) इयत्ता १२ - CBSE Question Bank Solutions

Find out the wavelength of the electron orbiting in the ground state of hydrogen atom.

A 12 pF capacitor is connected to a 50 V battery. How much electrostatic energy is stored in the capacitor? If another capacitor of 6 pF is connected in series with it with the same battery connected across the combination, find the charge stored and potential difference across each capacitor. 

An α-particle and a proton are accelerated through the same potential difference. Find the ratio of their de Broglie wavelength.

When light travels from a rarer to a denser medium, the speed decreases. Does this decrease in speed imply a reduction in the energy carried by the wave?

In the wave picture of light, the intensity of light is determined by the square of the amplitude of the wave. What determines the intensity in the photon picture of light?

What kind of fringes do you expect to observe if white light is used instead of monochromatic light?

A device X is connected across an ac source of voltage V = V₀ sin ωt. The current through X is given as 

`I = I_0 sin (omega t + pi/2 )`

1) Identify the device X and write the expression for its reactance.

2) Draw graphs showing the variation of voltage and current with time over one cycle of ac, for X.

3) How does the reactance of the device X vary with the frequency of the ac? Show this variation graphically.

4) Draw the phasor diagram for the device X.

Two metallic wires, P₁ and P₂ of the same material and same length but different cross-sectional areas, A₁ and A₂ are joined together and connected to a source of emf. Find the ratio of the drift velocities of free electrons in the two wires when they are connected (i) in series, and (ii) in parallel.

Give one example of use of eddy currents.

Use de-Broglie's hypothesis to write the relation for the n^th radius of Bohr orbit in terms of Bohr's quantization condition of orbital angular momentum ?

State the essential conditions for diffraction of light ?

Using Rydberg formula, calculate the longest wavelength belonging to Lyman and Balmer series. In which region of hydrogen spectrum do these transitions lie?
[Given R = 1.1 ✕ 10⁷ m⁻¹]

Answer the following question :
Define 'bandwidth' and describe briefly its importance in communicating signals ?

 How are eddy currents produced ?

Describe briefly three main useful application of eddy currents ?

A proton and an alpha particle are accelerated through the same potential. Which one of the two has (i) greater value of de−Broglie wavelength associated with it and (ii) less kinetic energy. Give reasons to justify your answer.

A deuteron and an alpha particle are accelerated with the same accelerating potential greater value of de-Broglie wavelength, associated it ?

Monochromatic light of frequency 5.0 × 10¹⁴ Hz is produced by a laser. The power emitted is 3.0 × 10^–3 W. Estimate the number of photons emitted per second on an average by the source ?

An electron is accelerated from rest through a potential V. Obtain the expression for the de-Broglie wavelength associated with it ?

Using Rydberg formula, calculate the wavelengths of the spectral lines of the first member of the Lyman series and of the Balmer series.