Tag: huygen's wave theory

Questions Related to huygen's wave theory

The higher the frequency of light?

  1. The longer (larger) its wavelength.

  2. The shorter (smaller) its wavelength.

  3. The greater its velocity in a vacuum.

  4. The redder it will be


Correct Option: B

A point source of light is placed at origin, in air. The equation of wave front of the wave at time $t$, emitted by source at $t=0$, is $(Take\ refractive\ index\ of\ air\ ms\ 1)$

  1. $x+y+z=et$

  2. $x^{2}+y^{2}+z^{2}=t^{2}$

  3. $xy+yz+zx=e^{2}t^{2}$

  4. $x^{2}+y^{2}+z^{2}=e^{2}t^{2}$


Correct Option: A

When the beam of light travels in a medium with lesser velocity than that of in vaccum then the value of wavelength and frequency will respectively

  1. Increase, decrease

  2. Increase, unchanged

  3. Decrease, unchanged

  4. Decrease, decrease


Correct Option: C
Explanation:

Energy $=\dfrac{4c}{\lambda }=4\nu $     which is constant.
Here, velocity is decreasing so, to make constant energy $\lambda$ should also decrease and frequency remains constant.

Consider a light wave that passes from air into a very thick clear glass block that has its opposite internal side mirrored (facing into the glass). The light ray passes into the glass block at an angle greater than $0^{\circ}$ and less than $90^{\circ}$, strikes the mirrored surface and reflects back through the glass into the air.
What happens while the light ray is in the glass block but before it strikes the mirrored surface?

  1. The frequency of the waves increases

  2. The frequency of the waves decreases

  3. The wavelength of the waves decreases

  4. The velocity of the waves decreases

  5. The period of the waves increases


Correct Option: C,D
Explanation:

When a light ray enters in a medium of higher refractive index from a lower one, the speed of the wave decreases as $v=\dfrac{c}{\mu}$

Since $\lambda=\dfrac{v}{\nu}$ and the frequency remains unchanged,
$\lambda=\dfrac{\lambda _0}{\mu}$
Hence the wavelength and the velocity of the waves decreases.

Assertion (A) : Velocity of light is more in rarer medium than in denser medium
Reason (R) : Light waves are longitudinal mechanical waves

  1. Statement A is correct R is wrong

  2. Statement A is correct R is right

  3. Statement A and R both are correct but R is not explaining A

  4. Statement A and R both are correct and R is explaining A


Correct Option: A
Explanation:

Velocity of light is more in rarer medium than in denser medium because speed of light in a medium is given by $\dfrac{c}{\mu }$ where, c is speed of light in vacuum and $\mu $ is refractive index of medium. Since denser medium has more $\mu $ than rarer medium, the speed of light is less in medium. Light waves are transverse electromagnetic waves.


(A) Light is a form of electromagnetic radiation and non-mechanical waves.
(B) Light waves do not require a material as a medium for propagation.

  1. Only A is true.

  2. Only B is true.

  3. Both A and B are true.

  4. Both A and B are false.


Correct Option: C
Explanation:

Both A and B are true,
Light is a form of electromagnetic radiation and a non-mechanical wave. It does not require a material as a medium for propagation. Hence, it can travel through space.

An observer is moving with half the speed of light towards stationary microwave source emitting waves at frequency 10 GHz. What is the frequency of the microwave measured by the observer ?(speed of light = $3 \times10^{8} \ ms^{-1}$)

  1. 15.3 GHz

  2. 10.1 GHz

  3. 12.1 GHz

  4. 17.3 GHz


Correct Option: D
Explanation:
Doppler effect in light ( speed of observer is not very small compared to speed of light )
$f^{1} = \sqrt{\dfrac{1+V/C}{1-V/C}} f _{source} = \sqrt{\dfrac{1+1/2}{1-1/2}} (10\ GHz)$
$=17.3\ GHz$


In frounhofer diffraction by a single slit, a position where first order minimum is formed by the wave length $6000\mathring { A } $, first order maximum is formed due to unknown wavelength, the unknown wavelength is

  1. $5000\mathring { A } $

  2. $6000\mathring { A } $

  3. $4000\mathring { A } $

  4. $9000\mathring { A } $


Correct Option: C

Two monochromatic light source, A and B , emit the same number of photons wavelength of A is $ \lambda _A = 400 nm $, and that of $ \lambda _B =600 nm $. the power of radiated

  1. equal to that of source A

  2. less than that source A

  3. greater than that of source A

  4. can not be compared to that source A using the available data


Correct Option: C

When a ray of light enters from air in to water then its wavelength

  1. decreases

  2. increases

  3. remains unchanged

  4. becomes infinity


Correct Option: A
Explanation:

When light enters a denser medium from a rarer medium, its velocity decreases and hence the wavelength is reduced.