badge image

Enroll For Free Now & Improve Your Performance.

×
User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade: 12

                        

monochromatic light of wavelentgh 589nm isincident from air to to a water surface. if refractive index is 1.33 find the wavelength, frequency & speed of light

2 years ago

Answers : (1)

Arun
24739 Points
							

Wavelength of incident monochromatic light,

λ = 589 nm = 589 × 10^−9 m

Speed of light in air, c = 3 × 10^8 m/s

Refractive index of water, μ = 1.33

(a) The ray will reflect back in the same medium as that of incident ray. Hence, the wavelength, speed, and frequency of the reflected ray will be the same as that of the incident ray.

Frequency of light is given by the relation,

v = c / λ

   = 3 x 10^8 / 589 x 10^-9

   = 5 .09 x 10^14 Hz

Hence, the speed, frequency, and wavelength of the reflected light are 3 × 10^8 m/s, 5.09 ×10^14 Hz, and 589 nm respectively.

 

 

 

(b) Frequency of light does not depend on the property of the medium in which it is travelling. Hence, the frequency of the refracted ray in water will be equal to the frequency of the incident or reflected light in air.

So Refracted frequency, ν = 5.09 ×10^14 Hz

Speed of light in water is related to the refractive index of water as:

v = c / μ

v =  3 x 10^8 / 1.33 = 2.26 x 10^8 m/s 

 

Wavelength of light in water is given by the relation,

 λ = v / v

v =  2.26 x 10^8 / 5 .09 x 10^14 = 444.007 x 10^-9 m

   = 444.01 nm

Hence, the speed, frequency, and wavelength of refracted light are 2.26 ×10^8 m/s, 444.01nm, and 5.09 × 10^14 Hz respectively

2 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 18 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details