Q. What is the gravitational potential energy of a 10 kg object at a height of 10 m?
A.
100 J
B.
200 J
C.
500 J
D.
1000 J
Show solution
Solution
Gravitational potential energy (PE) is given by the formula PE = mgh. Here, PE = 10 kg * 9.8 m/s² * 10 m = 980 J, which rounds to approximately 1000 J.
Correct Answer:
B
— 200 J
Learn More →
Q. What is the gravitational potential energy of a 10 kg object at a height of 5 m? (g = 9.8 m/s²)
A.
49 J
B.
98 J
C.
245 J
D.
490 J
Show solution
Solution
Gravitational potential energy (PE) is given by PE = mgh. Here, m = 10 kg, g = 9.8 m/s², and h = 5 m. PE = 10 * 9.8 * 5 = 490 J.
Correct Answer:
B
— 98 J
Learn More →
Q. What is the gravitational potential energy of a 2 kg object at a height of 10 m? (2023)
A.
20 J
B.
15 J
C.
10 J
D.
25 J
Show solution
Solution
Gravitational potential energy (PE) = mgh = 2 kg × 9.8 m/s² × 10 m = 196 J.
Correct Answer:
A
— 20 J
Learn More →
Q. What is the gravitational potential energy of a 5 kg object at a height of 10 m?
A.
50 J
B.
100 J
C.
150 J
D.
200 J
Show solution
Solution
Gravitational potential energy (PE) = m * g * h = 5 kg * 9.8 m/s² * 10 m = 490 J.
Correct Answer:
B
— 100 J
Learn More →
Q. What is the group number of Alkali metals in the periodic table? (2023)
Show solution
Solution
Alkali metals are located in group 1 of the periodic table.
Correct Answer:
A
— 1
Learn More →
Q. What is the group number of Halogens in the periodic table? (2021)
Show solution
Solution
Halogens are located in group 17 of the periodic table.
Correct Answer:
B
— 17
Learn More →
Q. What is the heat required to raise the temperature of 2 kg of aluminum from 25°C to 75°C? (Specific heat of aluminum = 0.9 J/g°C) (2022)
A.
9000 J
B.
18000 J
C.
36000 J
D.
4500 J
Show solution
Solution
Heat required Q = mcΔT = (2000 g)(0.9 J/g°C)(50°C) = 90000 J.
Correct Answer:
B
— 18000 J
Learn More →
Q. What is the hybridization of the central atom in [Ni(CO)4]? (2022)
A.
sp
B.
sp2
C.
sp3
D.
d2sp3
Show solution
Solution
In [Ni(CO)4], the nickel atom undergoes sp3 hybridization to accommodate four CO ligands.
Correct Answer:
C
— sp3
Learn More →
Q. What is the hybridization of the central metal ion in [Cr(NH3)6]3+? (2020) 2020
A.
sp
B.
sp2
C.
d2sp3
D.
dsp2
Show solution
Solution
In [Cr(NH3)6]3+, the hybridization is d2sp3 due to the octahedral arrangement of six ligands.
Correct Answer:
C
— d2sp3
Learn More →
Q. What is the impedance of a circuit with a resistance of 4 ohms and a reactance of 3 ohms? (2021)
A.
5 ohms
B.
7 ohms
C.
1 ohm
D.
12 ohms
Show solution
Solution
Impedance Z = √(R² + X²) = √(4² + 3²) = √(16 + 9) = √25 = 5 ohms.
Correct Answer:
A
— 5 ohms
Learn More →
Q. What is the impedance of a circuit with a resistance of 4Ω and a reactance of 3Ω? (2020)
Show solution
Solution
Impedance Z = √(R² + X²) = √(4² + 3²) = √(16 + 9) = √25 = 5Ω.
Correct Answer:
A
— 5Ω
Learn More →
Q. What is the impedance of a circuit with a resistor of 10Ω and an inductor of 0.1H at a frequency of 50Hz? (2022)
A.
10Ω
B.
15.71Ω
C.
20Ω
D.
25Ω
Show solution
Solution
Impedance Z = √(R² + (XL)²), where XL = 2πfL = 31.42Ω. Thus, Z = √(10² + 31.42²) = 15.71Ω.
Correct Answer:
B
— 15.71Ω
Learn More →
Q. What is the impedance of a circuit with a resistor of 10Ω and an inductor of 0.1 H at a frequency of 50 Hz? (2022)
A.
10Ω
B.
15.71Ω
C.
20Ω
D.
5Ω
Show solution
Solution
Impedance Z = √(R² + (XL)²), where XL = 2πfL = 31.42Ω. Thus, Z = √(10² + 31.42²) = 15.71Ω.
Correct Answer:
B
— 15.71Ω
Learn More →
Q. What is the impedance of a circuit with a resistor of 4Ω and a capacitor of 2μF at a frequency of 50Hz? (2020)
Show solution
Solution
Impedance Z = √(R² + (1/(ωC))²) where ω = 2πf. Here, R = 4Ω, C = 2μF, f = 50Hz. Calculate Z.
Correct Answer:
C
— 6Ω
Learn More →
Q. What is the impedance of a circuit with a resistor of 4Ω and an inductor of 3Ω at resonance? (2022)
Show solution
Solution
At resonance, the impedance is equal to the resistance, which is 4Ω.
Correct Answer:
C
— 4Ω
Learn More →
Q. What is the impedance of a series circuit containing a resistor (R) and an inductor (L) at angular frequency ω? (2020)
A.
R
B.
√(R² + (ωL)²)
C.
R + jωL
D.
R + L
Show solution
Solution
The impedance Z in a series R-L circuit is given by Z = √(R² + (ωL)²).
Correct Answer:
B
— √(R² + (ωL)²)
Learn More →
Q. What is the impedance of a series circuit containing a resistor (R) and an inductor (L) at a frequency (f)? (2020)
A.
R
B.
√(R² + (2πfL)²)
C.
R + 2πfL
D.
R - 2πfL
Show solution
Solution
The impedance Z in a series RL circuit is given by Z = √(R² + (2πfL)²).
Correct Answer:
B
— √(R² + (2πfL)²)
Learn More →
Q. What is the impedance of a series circuit with a resistor of 4Ω and an inductor of 3Ω at resonance? (2020)
Show solution
Solution
At resonance, the impedance is equal to the resistance, which is 4Ω.
Correct Answer:
C
— 4Ω
Learn More →
Q. What is the integral of 1/x with respect to x? (2022)
A.
ln
B.
x
C.
+ C
D.
1/x + C
.
x + C
.
e^x + C
Show solution
Solution
The integral of 1/x is ln|x| + C.
Correct Answer:
A
— ln
Learn More →
Q. What is the integral of 1/x? (2022)
A.
ln
B.
x
C.
+ C
D.
1/x + C
.
x + C
.
x^2 + C
Show solution
Solution
The integral of 1/x is ln|x| + C.
Correct Answer:
A
— ln
Learn More →
Q. What is the integral of cos(2x) dx? (2021)
A.
(1/2)sin(2x) + C
B.
sin(2x) + C
C.
(1/2)cos(2x) + C
D.
2sin(2x) + C
Show solution
Solution
The integral of cos(2x) is (1/2)sin(2x) + C.
Correct Answer:
A
— (1/2)sin(2x) + C
Learn More →
Q. What is the integral of e^x with respect to x? (2023)
A.
e^x + C
B.
xe^x + C
C.
e^x/x + C
D.
x^2e^x + C
Show solution
Solution
The integral of e^x is e^x + C.
Correct Answer:
A
— e^x + C
Learn More →
Q. What is the integral of e^x? (2023)
A.
e^x + C
B.
xe^x + C
C.
e^x/x + C
D.
x^2e^x + C
Show solution
Solution
The integral of e^x is e^x + C.
Correct Answer:
A
— e^x + C
Learn More →
Q. What is the integral of sin(x) dx? (2021)
A.
-cos(x) + C
B.
cos(x) + C
C.
sin(x) + C
D.
-sin(x) + C
Show solution
Solution
The integral of sin(x) is -cos(x) + C.
Correct Answer:
A
— -cos(x) + C
Learn More →
Q. What is the integral of tan(x) dx? (2023)
A.
-ln
B.
cos(x)
C.
+ C
D.
ln
.
sin(x)
.
+ C
.
ln
.
tan(x)
.
+ C
.
-ln
.
sin(x)
.
+ C
Show solution
Solution
The integral of tan(x) is -ln|cos(x)| + C.
Correct Answer:
A
— -ln
Learn More →
Q. What is the integral of tan(x) with respect to x? (2021)
A.
-ln
B.
cos(x)
C.
+ C
D.
ln
.
sin(x)
.
+ C
.
ln
.
tan(x)
.
+ C
.
-ln
.
sin(x)
.
+ C
Show solution
Solution
The integral of tan(x) is -ln|cos(x)| + C.
Correct Answer:
A
— -ln
Learn More →
Q. What is the integral of tan(x)? (2021)
A.
-ln
B.
cos(x)
C.
+ C
D.
ln
.
sin(x)
.
+ C
.
ln
.
tan(x)
.
+ C
.
-ln
.
sin(x)
.
+ C
Show solution
Solution
The integral of tan(x) is -ln|cos(x)| + C.
Correct Answer:
A
— -ln
Learn More →
Q. What is the integral of x^2 with respect to x? (2021)
A.
(1/3)x^3 + C
B.
(1/2)x^2 + C
C.
(1/4)x^4 + C
D.
(1/5)x^5 + C
Show solution
Solution
The integral of x^n is (1/(n+1))x^(n+1) + C. Here, n=2, so the integral is (1/3)x^3 + C.
Correct Answer:
A
— (1/3)x^3 + C
Learn More →
Q. What is the integral of x^3 + 2x? (2021)
A.
(1/4)x^4 + x^2 + C
B.
(1/3)x^3 + x^2 + C
C.
(1/4)x^4 + (1/2)x^2 + C
D.
(1/5)x^5 + (1/2)x^2 + C
Show solution
Solution
Integrating term by term, ∫x^3dx = (1/4)x^4 and ∫2xdx = x^2. Thus, ∫(x^3 + 2x)dx = (1/4)x^4 + (1/2)x^2 + C.
Correct Answer:
C
— (1/4)x^4 + (1/2)x^2 + C
Learn More →
Q. What is the integral of x^n where n ≠ -1? (2021)
A.
(1/n)x^(n+1) + C
B.
(1/(n+1))x^n + C
C.
(1/(n+1))x^(n+1) + C
D.
nx^(n-1) + C
Show solution
Solution
The integral of x^n is (1/(n+1))x^(n+1) + C, provided n ≠ -1.
Correct Answer:
C
— (1/(n+1))x^(n+1) + C
Learn More →
Showing 1741 to 1770 of 2530 (85 Pages)
