Q. What is the equivalent resistance of two resistors of 5Ω and 10Ω connected in parallel?
-
A.
3.33Ω
-
B.
5Ω
-
C.
7.5Ω
-
D.
15Ω
Solution
1/Req = 1/R1 + 1/R2 = 1/5 + 1/10 = 2/10 + 1/10 = 3/10. Therefore, Req = 10/3 = 3.33Ω.
Correct Answer:
A
— 3.33Ω
Learn More →
Q. What is the equivalent resistance of two resistors of 8Ω and 12Ω connected in series? (2019)
-
A.
20Ω
-
B.
24Ω
-
C.
16Ω
-
D.
10Ω
Solution
In series, R_eq = R1 + R2 = 8Ω + 12Ω = 20Ω.
Correct Answer:
A
— 20Ω
Learn More →
Q. What is the equivalent resistance of two resistors of 8Ω and 4Ω connected in series? (2022)
-
A.
12Ω
-
B.
32Ω
-
C.
2Ω
-
D.
8Ω
Solution
In series, R_eq = R1 + R2 = 8Ω + 4Ω = 12Ω.
Correct Answer:
A
— 12Ω
Learn More →
Q. What is the equivalent resistance of two resistors, 6 ohms and 3 ohms, connected in series?
-
A.
2 ohms
-
B.
3 ohms
-
C.
9 ohms
-
D.
18 ohms
Solution
In series, the equivalent resistance is the sum: R_eq = R1 + R2 = 6Ω + 3Ω = 9Ω.
Correct Answer:
C
— 9 ohms
Learn More →
Q. What is the equivalent resistance of two resistors, 6Ω and 3Ω, connected in series?
Solution
In series, the equivalent resistance (R_eq) is the sum of the resistances: R_eq = 6Ω + 3Ω = 9Ω.
Correct Answer:
C
— 9Ω
Learn More →
Q. What is the equivalent resistance of two resistors, R1 = 4Ω and R2 = 6Ω, in parallel? (2022)
-
A.
2.4Ω
-
B.
10Ω
-
C.
24Ω
-
D.
1.5Ω
Solution
The formula for equivalent resistance in parallel is 1/R_eq = 1/R1 + 1/R2. Thus, 1/R_eq = 1/4 + 1/6 = 5/12, so R_eq = 12/5 = 2.4Ω.
Correct Answer:
A
— 2.4Ω
Learn More →
Q. What is the equivalent resistance of two resistors, R1 and R2, in parallel? (2022)
-
A.
R1 + R2
-
B.
R1 * R2 / (R1 + R2)
-
C.
1 / (1/R1 + 1/R2)
-
D.
R1 - R2
Solution
The formula for equivalent resistance (R_eq) of two resistors in parallel is given by 1 / (1/R1 + 1/R2).
Correct Answer:
C
— 1 / (1/R1 + 1/R2)
Learn More →
Q. What is the equivalent weight of H2SO4 if its molar mass is 98 g/mol?
-
A.
49 g
-
B.
98 g
-
C.
196 g
-
D.
24.5 g
Solution
Equivalent weight = molar mass / number of equivalents = 98 g/mol / 2 = 49 g.
Correct Answer:
A
— 49 g
Learn More →
Q. What is the error called that occurs due to the limitations of the measuring instrument? (2023)
-
A.
Random error
-
B.
Systematic error
-
C.
Instrumental error
-
D.
Human error
Solution
Instrumental error occurs due to the limitations of the measuring instrument.
Correct Answer:
C
— Instrumental error
Learn More →
Q. What is the error in a measurement of 20.0 cm if the true value is 19.5 cm? (2023)
-
A.
0.5 cm
-
B.
0.5%
-
C.
2.5 cm
-
D.
2.5%
Solution
The error is the absolute difference between the measured value and the true value, which is |20.0 - 19.5| = 0.5 cm.
Correct Answer:
A
— 0.5 cm
Learn More →
Q. What is the error in measurement if the true value is 100 and the measured value is 95? (2023)
Solution
The error in measurement is the difference between the true value and the measured value, which is 100 - 95 = 5.
Correct Answer:
A
— 5
Learn More →
Q. What is the error in this sentence: 'Neither the manager nor the employees was happy with the decision.'?
-
A.
Neither
-
B.
nor
-
C.
was
-
D.
decision
Solution
'Was' should be 'were' because the subject is plural ('employees').
Correct Answer:
C
— was
Learn More →
Q. What is the escape velocity for a satellite to leave Earth's gravitational field?
-
A.
7.9 km/s
-
B.
11.2 km/s
-
C.
9.8 km/s
-
D.
5.0 km/s
Solution
The escape velocity from the Earth's surface is approximately 11.2 km/s.
Correct Answer:
B
— 11.2 km/s
Learn More →
Q. What is the escape velocity for a satellite to leave the Earth's gravitational field?
-
A.
7.9 km/s
-
B.
11.2 km/s
-
C.
9.8 km/s
-
D.
5.0 km/s
Solution
The escape velocity from the Earth's surface is approximately 11.2 km/s.
Correct Answer:
B
— 11.2 km/s
Learn More →
Q. What is the escape velocity for a satellite to leave the Earth's gravitational influence?
-
A.
11.2 km/s
-
B.
7.9 km/s
-
C.
9.8 km/s
-
D.
15.0 km/s
Solution
The escape velocity from the Earth's surface is approximately 11.2 km/s.
Correct Answer:
A
— 11.2 km/s
Learn More →
Q. What is the escape velocity from the surface of a planet with a radius of 3R and mass 4M?
-
A.
√(8GM/R)
-
B.
√(6GM/R)
-
C.
√(4GM/R)
-
D.
√(10GM/R)
Solution
Escape velocity v = √(2GM/R); here, v = √(2 * 4GM / 3R) = √(8GM/3R).
Correct Answer:
A
— √(8GM/R)
Learn More →
Q. What is the escape velocity from the surface of a planet with a radius of 4,000 km and a mass of 6 × 10^24 kg? (G = 6.67 × 10^-11 N m²/kg²)
-
A.
10,000 m/s
-
B.
11,200 m/s
-
C.
12,000 m/s
-
D.
13,000 m/s
Solution
Escape velocity = √(2GM/R) = √(2 * 6.67 × 10^-11 * 6 × 10^24 / 4 × 10^6) = 11,200 m/s
Correct Answer:
B
— 11,200 m/s
Learn More →
Q. What is the escape velocity from the surface of a planet with a radius of 4R and mass 2M?
-
A.
2√(GM/R)
-
B.
√(8GM/R)
-
C.
√(2GM/R)
-
D.
4√(GM/R)
Solution
Escape velocity v = √(2GM/R) = √(2 * 2M / 4R) = √(8GM/4R) = √(8GM/R)
Correct Answer:
B
— √(8GM/R)
Learn More →
Q. What is the escape velocity from the surface of a planet with mass M and radius R?
-
A.
√(2GM/R)
-
B.
√(GM/R)
-
C.
√(2R/G)
-
D.
√(G/R)
Solution
Escape velocity is given by v = √(2GM/R).
Correct Answer:
A
— √(2GM/R)
Learn More →
Q. What is the escape velocity from the surface of the Earth?
-
A.
7.9 km/s
-
B.
11.2 km/s
-
C.
9.8 km/s
-
D.
15 km/s
Solution
The escape velocity from the surface of the Earth is approximately 11.2 km/s.
Correct Answer:
B
— 11.2 km/s
Learn More →
Q. What is the escape velocity from the surface of the Earth? (g = 9.8 m/s^2, R = 6.4 x 10^6 m)
-
A.
7.9 km/s
-
B.
11.2 km/s
-
C.
9.8 km/s
-
D.
5.0 km/s
Solution
Escape velocity (v) = sqrt(2gR) = sqrt(2 * 9.8 * 6.4 x 10^6) ≈ 11.2 km/s.
Correct Answer:
B
— 11.2 km/s
Learn More →
Q. What is the escape velocity from the surface of the Earth? (g = 9.8 m/s², R = 6.4 × 10^6 m)
-
A.
11.2 km/s
-
B.
9.8 km/s
-
C.
7.9 km/s
-
D.
15 km/s
Solution
Escape velocity (v) = √(2gR) = √(2 * 9.8 * 6.4 × 10^6) ≈ 11.2 km/s
Correct Answer:
A
— 11.2 km/s
Learn More →
Q. What is the escape velocity from the surface of the Earth? (R = 6.4 × 10^6 m, g = 9.8 m/s²)
-
A.
11.2 km/s
-
B.
9.8 km/s
-
C.
7.9 km/s
-
D.
12.0 km/s
Solution
Escape velocity v = √(2gR) = √(2 * 9.8 * 6.4 × 10^6) ≈ 11.2 km/s.
Correct Answer:
A
— 11.2 km/s
Learn More →
Q. What is the estimated temperature at the Earth's inner core?
-
A.
4000°C
-
B.
5000°C
-
C.
6000°C
-
D.
7000°C
Solution
The temperature at the Earth's inner core is estimated to be around 6000°C.
Correct Answer:
C
— 6000°C
Learn More →
Q. What is the expanded form of (2x - 5)(x + 4)?
-
A.
2x² - 10x - 20
-
B.
2x² - 3x - 20
-
C.
2x² - 6x - 20
-
D.
2x² - 10x + 20
Solution
2x(x) + 2x(4) - 5(x) - 5(4) = 2x² + 8x - 5x - 20 = 2x² - 10x - 20.
Correct Answer:
A
— 2x² - 10x - 20
Learn More →
Q. What is the expanded form of (x + 2)(x - 2)?
-
A.
x² - 4
-
B.
x² + 4
-
C.
x² - 2
-
D.
x² + 2
Solution
(x + 2)(x - 2) = x² - 4 using the difference of squares.
Correct Answer:
A
— x² - 4
Learn More →
Q. What is the expanded form of (x + 2)(x - 3)?
-
A.
x² - x - 6
-
B.
x² + x - 6
-
C.
x² - 6
-
D.
x² + 6
Solution
(x + 2)(x - 3) = x² - 3x + 2x - 6 = x² - x - 6.
Correct Answer:
A
— x² - x - 6
Learn More →
Q. What is the expansion of (2x - 3)²? (2022)
-
A.
4x² - 9
-
B.
4x² - 12x + 9
-
C.
4x² + 12x + 9
-
D.
4x² - 6x
Solution
(2x - 3)² = 4x² - 12x + 9 by the square of a binomial.
Correct Answer:
B
— 4x² - 12x + 9
Learn More →
Q. What is the expansion of (2x - 3y)²?
-
A.
4x² - 9y²
-
B.
4x² - 12xy + 9y²
-
C.
4x² + 9y²
-
D.
4x² + 12xy + 9y²
Solution
(2x - 3y)² = 4x² - 12xy + 9y² by applying the square of a binomial.
Correct Answer:
B
— 4x² - 12xy + 9y²
Learn More →
Q. What is the expansion of (x + 2)(x - 2)?
-
A.
x² - 4
-
B.
x² + 4
-
C.
2x² - 4
-
D.
x² - 2
Solution
(x + 2)(x - 2) = x² - 2² = x² - 4 by the difference of squares.
Correct Answer:
A
— x² - 4
Learn More →
Showing 18421 to 18450 of 29138 (972 Pages)
