Correct Answer: A. has no sufficient cash with the bank

Correct Answer: A. mitosis

Correct Answer: A. \(2\frac{1}{3}\)

Explanation

\(\left(1\frac{2}{3}\right)^2 - \left(\frac{2}{3}\right)^2=\left(\frac{5}{3}\right)^2 - \left(\frac{2}{3}\right)^2\)

Difference of two squares

\(\left(\frac{5}{3}-\frac{2}{3}\right)\left(\frac{5}{3}+\frac{2}{3}\right)=\left(\frac{3}{3}\right)\left(\frac{7}{3}\right)\\

\frac{7}{3}=2\frac{1}{3}\)

Correct Answer: C. they need more air than water

Correct Answer: A. undeviated and undisplaced at a lower speed

Explanation

Let's analyze the behavior of the ray of light based on the given conditions:

1. Normal Incidence: Normal incidence means the angle between the incident ray and the normal to the surface is 0 degrees \( \theta_1 = 0^\circ \).

2. Deviation:

* According to Snell's Law: \(n_1 \sin \theta_1 = n_2 \sin \theta_2\)

* Here, \(n_1\) is the refractive index of air, \(n_2\) is the refractive index of glass.

* Since \(\theta_1 = 0^\circ , then \sin \theta_1 = 0\) .

* So, \(n_1 \cdot 0 = n_2 \sin \theta_2\)

* This implies 0 = \(n_2 \sin \theta_2\) .

* Since \(n_2\) (refractive index of glass) is not zero, \(\sin \theta_2\) must be zero.

* Therefore, \(\theta_2 = 0^\circ\) .

* An angle of refraction of 0 degrees means the light ray continues along the normal without bending. So, it passes undeviated.

3. Displacement:

* Lateral displacement (or shift) occurs when a light ray enters a medium at an angle and emerges parallel to its original path but shifted.

* Since the light ray is undeviated and travels straight along the normal through the slab, there is no lateral shift. It passes undisplaced.

4. Speed:

* The speed of light in a medium is given by the formula v = c/n , where c is the speed of light in a vacuum (approximately air) and n is the refractive index of the medium.

* The refractive index of air is approximately 1.

* The refractive index of glass is greater than 1 (typically around 1.5).

* Since \(n_{glass} > n_{air}\) , the speed of light in glass ( \(v_{glass} = c/n_{glass}\) ) will be less than the speed of light in air ( \(v_{air} = c/n_{air}\) ).

* Therefore, the light passes through the slab at a lower speed.

Combining these observations: The light ray passes undeviated and undisplaced at a lower speed.

Let's check the options:

A. undeviated and undisplaced at a lower speed - This matches our analysis.

B. deviated and undisplaced at a lower speed - Incorrect (not deviated).

C. deviated and displaced at a lower speed - Incorrect (not deviated, not displaced).

D. undeviated and displaced at a faster speed - Incorrect (not displaced, not faster speed).

The final answer is A

Correct Answer: A. shows a creative use of language

Correct Answer: B. luxury

Correct Answer: B. its proximity to the market

Explanation

Factors responsible for location of Industries Some of them are: raw material, land, water, labor, capital, power, transport, and market. For ease of convenience, we can classify the location factors into two: geographical factors and non-geographical factors.

Correct Answer: D. suspense and irony

Correct Answer: C. Socialism