Question

Hi Friends !!
speed of light in water is 2.25x10^8 m/s and in glass is 2x 10^8 m/s (a) Find refracture index in each case . (b)Which of the two is optically denser. ​

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Answer 1

Gɪᴠᴇɴ

• Speed of light in water is 2.25×10^8

• Speed of light in glass is 2×10^8

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ᴛᴏ ꜰɪɴᴅ

a)refracture index in both cases

b) why one is optically denser

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Sᴛᴇᴘꜱ

$\begin{lgathered}\dashrightarrow\sf\:\mu_{water}=\dfrac{velocity\:of\:light\:in\:vacuum}{velocity\:of\:light\:in\:water}\\ \\ \dashrightarrow\sf\:\mu_{water}=\dfrac{3\times 10^8}{2.25\times 10^8}\\ \\ \dashrightarrow\:\boxed{ \fbox{\bf{\red{\mu_{water}=\dfrac{4}{3}=1.33}}}}\end{lgathered}$

$\begin{lgathered}\leadsto\sf\:\mu_{glass}=\dfrac{velocity\:of\:light\:in\:vacuum}{velocity\:of\:light\:in\:glass}\\ \\ \leadsto\sf\:\mu_{glass}=\dfrac{3\times 10^8}{2\times 10^8}\\ \\ \leadsto\:\boxed{ \fbox{\orange{\bf{\mu_{glass}=\dfrac{3}{2}=1.5}}}}\end{lgathered}$

$\begin{lgathered}\mapsto\sf\:\mu_{glass}>\mu_{water}\\ \\ \sf{glass\:is\:optically\:more\:denser\:than\:water.}\end{lgathered}$

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$\huge{\mathfrak{\purple{hope\; it \;helps}}}$

Answer 2

Answer:

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