Q. A radar system can detect objects up to 200 km away. If it scans at a speed of 20 km/h, how long will it take to complete a full scan? (2022)
A.
8 hours
B.
10 hours
C.
12 hours
D.
15 hours
Show solution
Solution
Time = Distance / Speed = 200 km / 20 km/h = 10 hours
Correct Answer:
B
— 10 hours
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Q. A radar system can detect objects up to a distance of 100 km. If it scans at a speed of 20 km/h, how long will it take to complete a full scan? (2023)
A.
4 hours
B.
5 hours
C.
6 hours
D.
7 hours
Show solution
Solution
Time = Distance / Speed = 100 km / 20 km/h = 5 hours
Correct Answer:
A
— 4 hours
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Q. A radar system can detect objects up to a distance of 15 km. What is this distance in meters? (2022)
A.
1000 m
B.
5000 m
C.
10000 m
D.
15000 m
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Solution
Distance in meters = 15 km × 1000 m/km = 15000 m
Correct Answer:
D
— 15000 m
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Q. A radar system can detect objects up to a distance of 50 km. If it scans an area of 20 km radius, what is the area it can cover? (2023)
A.
1256 km²
B.
314 km²
C.
400 km²
D.
500 km²
Show solution
Solution
Area = π × r² = π × (20 km)² ≈ 1256 km²
Correct Answer:
A
— 1256 km²
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Q. A ray of light in a medium with n=1.33 strikes the boundary with air at an angle of 45°. What is the behavior of the ray?
A.
Total internal reflection
B.
Partial reflection and refraction
C.
Complete absorption
D.
Total refraction
Show solution
Solution
Since 45° < θc ≈ 48.6°, the ray will partially reflect and refract.
Correct Answer:
B
— Partial reflection and refraction
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Q. A ray of light in glass (n=1.5) strikes the glass-air interface at an angle of 30°. What will be the angle of refraction in air?
A.
60°
B.
30°
C.
45°
D.
90°
Show solution
Solution
Using Snell's law, n1 * sin(θ1) = n2 * sin(θ2). Here, n1 = 1.5, θ1 = 30°, n2 = 1.0. Thus, sin(θ2) = (1.5 * sin(30°))/1.0 = 0.75, giving θ2 ≈ 60°.
Correct Answer:
A
— 60°
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Q. A ray of light passes from air into glass at an angle of 45 degrees. What is the angle of refraction if the refractive index of glass is 1.5? (2022)
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
90 degrees
Show solution
Solution
Using Snell's law, n1 * sin(theta1) = n2 * sin(theta2). Here, n1 = 1 (air), theta1 = 45 degrees, n2 = 1.5 (glass). Thus, sin(theta2) = (1 * sin(45))/1.5 = 0.471, giving theta2 ≈ 30 degrees.
Correct Answer:
A
— 30 degrees
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Q. A ray of light passes from air into glass at an angle of incidence of 30 degrees. If the refractive index of glass is 1.5, what is the angle of refraction?
A.
20 degrees
B.
30 degrees
C.
18.4 degrees
D.
22 degrees
Show solution
Solution
Using Snell's law, n1 * sin(i) = n2 * sin(r). Here, n1 = 1 (air), i = 30 degrees, n2 = 1.5 (glass). Thus, sin(r) = (1 * sin(30))/1.5 = 0.333, giving r ≈ 18.4 degrees.
Correct Answer:
C
— 18.4 degrees
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Q. A ray of light passes from air into glass at an angle of incidence of 45 degrees. If the refractive index of glass is 1.5, what is the angle of refraction?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
90 degrees
Show solution
Solution
Using Snell's law, n1 * sin(i) = n2 * sin(r). Here, n1 = 1 (air), n2 = 1.5 (glass), i = 45 degrees. Solving gives r = 30 degrees.
Correct Answer:
A
— 30 degrees
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Q. A ray of light passes from air into glass with a refractive index of 1.5. If the angle of incidence is 30 degrees, what is the angle of refraction?
A.
20 degrees
B.
30 degrees
C.
18.4 degrees
D.
22 degrees
Show solution
Solution
Using Snell's law, n1 * sin(i) = n2 * sin(r). Here, n1 = 1, n2 = 1.5, i = 30 degrees. Solving gives r ≈ 18.4 degrees.
Correct Answer:
C
— 18.4 degrees
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Q. A ray of light passes from air into water at an angle of incidence of 30 degrees. What is the angle of refraction?
A.
22 degrees
B.
30 degrees
C.
45 degrees
D.
18 degrees
Show solution
Solution
Using Snell's law, n1 * sin(θ1) = n2 * sin(θ2). Here, n1 = 1 (air), n2 = 1.33 (water), θ1 = 30 degrees. Thus, sin(θ2) = (1 * sin(30))/1.33 = 0.375. Therefore, θ2 = sin^(-1)(0.375) which is approximately 22 degrees.
Correct Answer:
A
— 22 degrees
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Q. A ray of light passes from air into water at an angle of incidence of 30 degrees. What is the angle of refraction in water (n = 1.33)?
A.
22.5 degrees
B.
30 degrees
C.
40 degrees
D.
45 degrees
Show solution
Solution
Using Snell's law, n1 * sin(θ1) = n2 * sin(θ2). Here, sin(30) = 0.5, so 1 * 0.5 = 1.33 * sin(θ2). Solving gives θ2 ≈ 22.5 degrees.
Correct Answer:
A
— 22.5 degrees
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Q. A ray of light passes from air into water at an angle of incidence of 30 degrees. What is the angle of refraction in water? (Refractive index of water = 1.33)
A.
22.5 degrees
B.
30 degrees
C.
40 degrees
D.
20 degrees
Show solution
Solution
Using Snell's law, n1 * sin(θ1) = n2 * sin(θ2), we find θ2 = sin^(-1)(sin(30 degrees)/1.33) = 22.5 degrees.
Correct Answer:
A
— 22.5 degrees
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Q. A ray of light passes from air into water. If the angle of incidence is 30 degrees, what is the angle of refraction?
A.
22 degrees
B.
30 degrees
C.
45 degrees
D.
18 degrees
Show solution
Solution
Using Snell's law, n1 * sin(θ1) = n2 * sin(θ2). Here, n1 = 1 (air), n2 = 1.33 (water). Solving gives θ2 ≈ 22 degrees.
Correct Answer:
A
— 22 degrees
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Q. A ray of light passes from air into water. If the angle of incidence is 30 degrees, what is the angle of refraction in water (n = 1.33)?
A.
22.5 degrees
B.
30 degrees
C.
22 degrees
D.
40 degrees
Show solution
Solution
Using Snell's law: n1 * sin(θ1) = n2 * sin(θ2). Here, sin(30) = 0.5, so sin(θ2) = (1 * 0.5) / 1.33 = 0.375. Thus, θ2 = sin^(-1)(0.375) ≈ 22.5 degrees.
Correct Answer:
A
— 22.5 degrees
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Q. A ray of light passes from air into water. If the angle of incidence is 30 degrees, what is the angle of refraction in water? (Refractive index of water = 1.33)
A.
22.1 degrees
B.
30 degrees
C.
36.9 degrees
D.
45 degrees
Show solution
Solution
Using Snell's law, n1*sin(θ1) = n2*sin(θ2), we find θ2 = 22.1 degrees.
Correct Answer:
A
— 22.1 degrees
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Q. A ray of light passes through the center of curvature of a concave mirror. What is the angle of reflection?
A.
0 degrees
B.
30 degrees
C.
45 degrees
D.
90 degrees
Show solution
Solution
When a ray passes through the center of curvature, it strikes the mirror perpendicularly, resulting in an angle of reflection of 0 degrees.
Correct Answer:
A
— 0 degrees
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Q. A ray of light passes through the center of curvature of a concave mirror. What will be the angle of reflection?
A.
0 degrees
B.
30 degrees
C.
45 degrees
D.
90 degrees
Show solution
Solution
When a ray of light passes through the center of curvature, it strikes the mirror perpendicularly, resulting in an angle of reflection of 0 degrees.
Correct Answer:
A
— 0 degrees
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Q. A ray of light passes through the center of curvature of a concave mirror. What will be the nature of the image formed? (2020)
A.
Real and inverted
B.
Virtual and erect
C.
Real and erect
D.
Virtual and inverted
Show solution
Solution
When a ray passes through the center of curvature, it reflects back on itself, forming a real and inverted image at the same distance as the object.
Correct Answer:
A
— Real and inverted
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Q. A ray of light passes through the optical center of a lens. What happens to the ray?
A.
It bends towards the normal
B.
It bends away from the normal
C.
It continues in a straight line
D.
It reflects back
Show solution
Solution
A ray of light passing through the optical center of a lens continues in a straight line without bending.
Correct Answer:
C
— It continues in a straight line
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Q. A ray of light strikes a glass surface at an angle of incidence of 30 degrees. If the refractive index of glass is 1.5, what is the angle of refraction? (2022)
A.
20 degrees
B.
30 degrees
C.
40 degrees
D.
50 degrees
Show solution
Solution
Using Snell's law, n1 * sin(i) = n2 * sin(r). Here, n1 = 1 (air), i = 30 degrees, n2 = 1.5 (glass). Therefore, sin(r) = (1 * sin(30))/1.5 = 0.333. Thus, r = sin^(-1)(0.333) ≈ 19.5 degrees, which is approximately 20 degrees.
Correct Answer:
A
— 20 degrees
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Q. A ray of light strikes a plane mirror at an angle of 30 degrees to the normal. What is the angle of reflection? (2022)
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
90 degrees
Show solution
Solution
According to the law of reflection, the angle of reflection is equal to the angle of incidence. Therefore, the angle of reflection is 30 degrees.
Correct Answer:
A
— 30 degrees
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Q. A ray of light strikes a plane mirror at an angle of 30 degrees. What is the angle of reflection?
A.
30 degrees
B.
60 degrees
C.
90 degrees
D.
45 degrees
Show solution
Solution
According to the law of reflection, the angle of reflection is equal to the angle of incidence, which is 30 degrees.
Correct Answer:
A
— 30 degrees
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Q. A ray of light strikes a plane mirror at an angle of incidence of 30 degrees. What is the angle of reflection?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
90 degrees
Show solution
Solution
According to the law of reflection, the angle of reflection is equal to the angle of incidence. Therefore, the angle of reflection is 30 degrees.
Correct Answer:
A
— 30 degrees
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Q. A ray of light strikes a plane surface at an angle of incidence of 30 degrees. What is the angle of reflection? (2023)
A.
30 degrees
B.
60 degrees
C.
90 degrees
D.
45 degrees
Show solution
Solution
According to the law of reflection, the angle of reflection is equal to the angle of incidence. Therefore, the angle of reflection is 30 degrees.
Correct Answer:
A
— 30 degrees
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Q. A ray of light traveling in air strikes the surface of water at an angle of incidence of 45 degrees. What is the angle of refraction?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
90 degrees
Show solution
Solution
Using Snell's law, n1 * sin(i) = n2 * sin(r). For air (n1=1) and water (n2=1.33), we find r = 45 degrees.
Correct Answer:
B
— 45 degrees
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Q. A recent analysis shows that cities with better public transportation systems have lower traffic congestion. What can be inferred from this analysis?
A.
Traffic congestion is solely caused by poor public transportation.
B.
Better public transportation may help reduce traffic congestion.
C.
All cities with low congestion have excellent public transportation.
D.
Public transportation has no effect on traffic patterns.
Show solution
Solution
The analysis indicates a potential benefit of improved public transportation in reducing traffic congestion.
Correct Answer:
B
— Better public transportation may help reduce traffic congestion.
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Q. A recent article claims that companies with diverse workforces are more innovative. What can be inferred from this claim?
A.
Diversity in the workforce is the only factor for innovation.
B.
Companies with less diversity are less innovative.
C.
A diverse workforce may enhance innovation in companies.
D.
Innovation is unrelated to workforce diversity.
Show solution
Solution
The claim suggests that having a diverse workforce could contribute to increased innovation within companies.
Correct Answer:
C
— A diverse workforce may enhance innovation in companies.
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Q. A recent article claims that reading fiction improves empathy. What can be inferred from this claim?
A.
All readers of fiction are more empathetic.
B.
Reading fiction may enhance one's ability to understand others.
C.
Empathy is solely developed through reading fiction.
D.
Non-fiction reading does not improve empathy.
Show solution
Solution
The claim suggests a potential benefit of reading fiction on empathy, but does not assert that all readers will experience this effect.
Correct Answer:
B
— Reading fiction may enhance one's ability to understand others.
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Q. A recent article states that people who read regularly tend to have better vocabulary skills. What can be inferred from this statement?
A.
Reading is the only way to improve vocabulary.
B.
All readers have excellent vocabulary skills.
C.
Regular reading contributes to improved vocabulary.
D.
Vocabulary skills are not important.
Show solution
Solution
The statement implies that regular reading contributes to better vocabulary skills, but does not claim it is the only method.
Correct Answer:
C
— Regular reading contributes to improved vocabulary.
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