1311 Views

two parallel plane mirror s M1 and M2 have a length of 2m each and are 10 mm apart.A Ray of light is incident on one end of the mirror M2 at the angle of 30 degree the number of reflection light undergoes before reaching the other end is


Nyasha 15th Feb, 2020
Answer (1)

Hello,



The property of reflection in a mirror deviates the incident ray through an angle equal to the very angle of incidence. So for the two parallel mirrors, existing near vicinity of the incident ray falling at one end, could cause such deviation of the reflected ray through multiple reflections until reaching out at the other end. The angle of incident being 30° and their separation being 10mm or 1cm=>trigonometric application to the ray moved by reflections to deviate from the normal by 1×tan30°=0.577cm in every such reflections to reach the other end. Assuming the no of reflections to be N,the total deviation of the incident ray from the point of incidence is 0.577N=length of mirror ie 2m or 200cm.                            So N=(200/0.577=346. 62) as 0.62×0.577=0.35<0.577 .So the total number of reflections is 346.Ans.. N=(200/0.577=346.

Thank you.

Related Questions

UPES Integrated LLB Admission...
Apply
Ranked #28 amongst Institutions in India by NIRF | Ranked #1 in India for Academic Reputation by QS University Rankings | 16.6 LPA Highest CTC
Jindal Global Law School Admi...
Apply
Ranked #1 Law School in India & South Asia by QS- World University Rankings | Merit cum means scholarships | Application Deadline: 31st Jan'25
Chandigarh University Admissi...
Apply
Ranked #1 Among all Private Indian Universities In QS Asia Rankings 2025 | Scholarships worth 210 CR
Great Lakes PGPM & PGDM 2025
Apply
Admissions Open | Globally Recognized by AACSB (US) & AMBA (UK) | 17.3 LPA Avg. CTC for PGPM 2024 | Application Deadline: 1st Dec 2024
ISBR Business School PGDM Adm...
Apply
180+ Companies | Highest CTC 15 LPA | Average CTC 8 LPA | Ranked as Platinum Institute by AICTE for 6 years in a row | Awarded Best Business School...
Nirma University Law Admissio...
Apply
Grade 'A+' accredited by NAAC
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books