Two transparent media A and B are separated by a plane boundary. The speed of light in those media are <math> <mn>1.5</mn> <mo>×</mo> <msup> <mrow> <mrow> <mn>10</mn> </mrow> </mrow> <mrow> <mrow> <mn>8</mn> </mrow> </mrow> </msup> <mtext> </mtext> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </math> and <math> <mn>2.0</mn> <mo>×</mo> <msup> <mrow> <mrow> <mn>10</mn> </mrow> </mrow> <mrow> <mrow> <mn>8</mn> </mrow> </mrow> </msup> <mtext> </mtext> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </math> , respectively. The critical angle for a ray of light for these two media is &lt;!-- [if !supportLineBreakNewLine]--&gt; &lt;!--[endif]--&gt;

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Projectile Motion Physics Motion in Plane Physics Class 11th

Two transparent media A and B are separated by a plane boundary. The speed of light in those media are $1.5 \times 10^{8} m / s$ and $2.0 \times 10^{8} m / s$ , respectively. The critical angle for a ray of light for these two media is

Option 1 -

${s i n}^{- 1} (0.500)$

Option 2 -

${s i n}^{- 1} (0.750)$

Option 3 -

${t a n}^{- 1} (0.500)$

Option 4 -

${t a n}^{- 1} (0.750)$

2 Views | Posted 3 weeks ago

Asked by Shiksha User

1 Answer

Answered by

Raj Pandey | Contributor-Level 9

3 weeks ago

Correct Option - 2

Detailed Solution:

$i_{c} = {s i n}^{- 1} ? (\frac{3}{4})$

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A fighter jet is flying horizontally at a certain with a speed of 200ms^-1. When it passes directly overhead ad anti-aircraft gun, a bullet is fired from the gun, at an angle (θ)with the horizontal, to hit the jet. If the bullet speed is 400m/s, the value of (θ)will be _____________.

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B → fighter jet

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B → fighter jet

A → anti-Air craft gun

Draw velocity diagram of A w.r.t. B

If A hits B

Then Relative velocity perpendicular to the line joining A to B will be zero.

That means 400 cos q = 200

$\begin{array}{l} c o s θ = \frac{1}{2} \\ θ = 60 ° \end{array}$

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According to question, we can write

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$t a n θ = \frac{v_{y}}{v_{x}} = \frac{u_{y} - g t}{u_{x}}$

$\Rightarrow t a n θ = | \frac{8 - 10}{4} | = | - \frac{1}{2} |$

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Two transparent media A and B are separated by a plane boundary. The speed of light in those media are $1.5 \times 10^{8} m / s$ and $2.0 \times 10^{8} m / s$ , respectively. The critical angle for a ray of light for these two media is

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Two transparent media A and B are separated by a plane boundary. The speed of light in those media are 1.5 × 10 8 m / s and 2.0 × 10 8 m / s , respectively. The critical angle for a ray of light for these two media is

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Two transparent media A and B are separated by a plane boundary. The speed of light in those media are $1.5 \times 10^{8} m / s$ and $2.0 \times 10^{8} m / s$ , respectively. The critical angle for a ray of light for these two media is