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STATEMENT-1 A fish inside a pond will se...

STATEMENT-`1` A fish inside a pond will see a person standing outside taller than he is actually.
`STATEMENT 2` Light bend away from the normal as it enters water from air.

A

STATEMENT -`1`is true statement `2` is true,Statement -`2`is a correct explanation for statement -`1`

B

STATEMENT -`1`is true statement `2` is true,Statement -`2`is a not a correct explanation for statement -`1`

C

Statement -`1`is true,Statement -`2`is False

D

Statement -`1`is False ,Statement -`2`is True

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze both statements given in the question. ### Step 1: Understanding Statement 1 **Statement 1:** A fish inside a pond will see a person standing outside taller than he is actually. - When a fish is underwater, it observes objects above the water's surface. Due to the phenomenon of refraction, the light rays coming from the person above the water bend when they enter the water. - The bending of light causes the fish to perceive the person as being taller than he actually is. This is because the light rays diverge as they move from a denser medium (water) to a less dense medium (air). ### Step 2: Analyzing the Optical Distance - The perceived height can be explained using the concept of optical distance, which is affected by the refractive indices of the two media (water and air). - The relationship can be expressed as: \[ \frac{d}{\mu_1} = \frac{d_1}{\mu_2} \] where \(d\) is the actual distance, \(d_1\) is the perceived distance, \(\mu_1\) is the refractive index of water, and \(\mu_2\) is the refractive index of air. - Since the refractive index of water (\(\mu_1\)) is greater than that of air (\(\mu_2\)), the perceived distance \(d_1\) will be greater than the actual distance \(d\). ### Conclusion for Statement 1 Thus, Statement 1 is **true**: A fish inside a pond will see a person standing outside taller than he is actually. ### Step 3: Understanding Statement 2 **Statement 2:** Light bends away from the normal as it enters water from air. - This statement is incorrect. When light travels from a less dense medium (air) to a denser medium (water), it bends **towards** the normal. - The bending of light is governed by Snell's Law, which states: \[ n_1 \sin(\theta_1) = n_2 \sin(\theta_2) \] where \(n_1\) and \(n_2\) are the refractive indices of air and water, respectively, and \(\theta_1\) and \(\theta_2\) are the angles of incidence and refraction. ### Conclusion for Statement 2 Therefore, Statement 2 is **false**: Light bends towards the normal when it enters water from air. ### Final Answer - **Statement 1 is true.** - **Statement 2 is false.**

To solve the problem, we need to analyze both statements given in the question. ### Step 1: Understanding Statement 1 **Statement 1:** A fish inside a pond will see a person standing outside taller than he is actually. - When a fish is underwater, it observes objects above the water's surface. Due to the phenomenon of refraction, the light rays coming from the person above the water bend when they enter the water. - The bending of light causes the fish to perceive the person as being taller than he actually is. This is because the light rays diverge as they move from a denser medium (water) to a less dense medium (air). ...
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