Q. What is the focus of the parabola defined by the equation y^2 = 20x?
A.
(5, 0)
B.
(0, 5)
C.
(0, 10)
D.
(10, 0)
Show solution
Solution
In the equation y^2 = 4px, we have 4p = 20, thus p = 5. The focus is at (5, 0).
Correct Answer:
A
— (5, 0)
Learn More →
Q. What is the focus of the parabola given by the equation y^2 = 20x?
A.
(5, 0)
B.
(0, 5)
C.
(0, -5)
D.
(10, 0)
Show solution
Solution
For the parabola y^2 = 4px, here 4p = 20, so p = 5. The focus is at (5, 0).
Correct Answer:
A
— (5, 0)
Learn More →
Q. What is the formula for calculating electric power? (2023)
A.
P = IV
B.
P = I^2R
C.
P = V^2/R
D.
All of the above
Show solution
Solution
The electric power can be calculated using multiple formulas: P = IV (power = current × voltage), P = I^2R (power = current squared × resistance), and P = V^2/R (power = voltage squared / resistance).
Correct Answer:
D
— All of the above
Learn More →
Q. What is the formula for calculating the capacitance of a parallel plate capacitor?
A.
C = εA/d
B.
C = A/εd
C.
C = d/εA
D.
C = εd/A
Show solution
Solution
The capacitance (C) of a parallel plate capacitor is given by C = εA/d, where ε is the permittivity, A is the area of the plates, and d is the distance between them.
Correct Answer:
A
— C = εA/d
Learn More →
Q. What is the formula for calculating the concentration of hydrogen ions in a solution with a pH of 5?
A.
1 x 10^-5 M
B.
1 x 10^-7 M
C.
1 x 10^-9 M
D.
1 x 10^-3 M
Show solution
Solution
The concentration of hydrogen ions is calculated as [H+] = 10^-pH = 10^-5 M.
Correct Answer:
A
— 1 x 10^-5 M
Learn More →
Q. What is the formula for calculating the concentration of hydrogen ions in a solution from its pH?
A.
[H+] = 10^-pH
B.
[H+] = pH/10
C.
[H+] = 10^pH
D.
[H+] = pH^10
Show solution
Solution
The concentration of hydrogen ions is calculated using [H+] = 10^-pH.
Correct Answer:
A
— [H+] = 10^-pH
Learn More →
Q. What is the formula for calculating the normality of a solution?
A.
N = M x n
B.
N = M / n
C.
N = M + n
D.
N = M - n
Show solution
Solution
Normality (N) is calculated as the molarity (M) multiplied by the number of equivalents (n).
Correct Answer:
A
— N = M x n
Learn More →
Q. What is the formula for calculating the pH of a solution?
A.
pH = log[H+]
B.
pH = -log[H+]
C.
pH = [H+]
D.
pH = 14 - pOH
Show solution
Solution
The formula for calculating pH is pH = -log[H+].
Correct Answer:
B
— pH = -log[H+]
Learn More →
Q. What is the formula for calculating the power consumed in an electrical circuit?
A.
P = IV
B.
P = I/R
C.
P = V/R
D.
P = IR
Show solution
Solution
The power consumed in an electrical circuit is given by the formula P = IV, where P is power, I is current, and V is voltage.
Correct Answer:
A
— P = IV
Learn More →
Q. What is the formula for the capacitance of a parallel plate capacitor?
A.
C = εA/d
B.
C = A/εd
C.
C = d/εA
D.
C = εd/A
Show solution
Solution
The capacitance C of a parallel plate capacitor is given by the formula C = εA/d, where ε is the permittivity, A is the area of the plates, and d is the separation between them.
Correct Answer:
A
— C = εA/d
Learn More →
Q. What is the formula for the total capacitance of two capacitors in parallel?
A.
C_total = C1 + C2
B.
C_total = C1 * C2
C.
C_total = C1 / C2
D.
C_total = C1 - C2
Show solution
Solution
For capacitors in parallel, the total capacitance is the sum: C_total = C1 + C2.
Correct Answer:
A
— C_total = C1 + C2
Learn More →
Q. What is the frequency of a sound wave with a wavelength of 2 meters traveling at 340 m/s?
A.
170 Hz
B.
340 Hz
C.
680 Hz
D.
3400 Hz
Show solution
Solution
Frequency = Speed / Wavelength = 340 m/s / 2 m = 170 Hz.
Correct Answer:
A
— 170 Hz
Learn More →
Q. What is the frequency of an AC signal with a period of 0.02 seconds?
A.
50 Hz
B.
100 Hz
C.
25 Hz
D.
200 Hz
Show solution
Solution
Frequency (f) is the reciprocal of the period (T). Thus, f = 1/T = 1/0.02 s = 50 Hz.
Correct Answer:
B
— 100 Hz
Learn More →
Q. What is the function of a capacitor in an electric circuit? (2022)
A.
Store energy
B.
Increase current
C.
Decrease voltage
D.
Convert AC to DC
Show solution
Solution
A capacitor is used to store electrical energy in an electric field, which can be released when needed.
Correct Answer:
A
— Store energy
Learn More →
Q. What is the function of chlorophyll in plants? (2022)
A.
Absorbing water
B.
Absorbing sunlight
C.
Transporting nutrients
D.
Storing energy
Show solution
Solution
Chlorophyll is the pigment in plants that absorbs sunlight, which is essential for photosynthesis.
Correct Answer:
B
— Absorbing sunlight
Learn More →
Q. What is the function of chloroplasts in plant cells? (2022)
A.
Energy production
B.
Photosynthesis
C.
Cell division
D.
Protein synthesis
Show solution
Solution
Chloroplasts are the organelles in plant cells where photosynthesis occurs, converting light energy into chemical energy.
Correct Answer:
B
— Photosynthesis
Learn More →
Q. What is the function of mitochondria in a cell? (2022)
A.
Photosynthesis
B.
Energy production
C.
Protein synthesis
D.
Cell division
Show solution
Solution
Mitochondria are known as the powerhouses of the cell, generating ATP through cellular respiration.
Correct Answer:
B
— Energy production
Learn More →
Q. What is the function of phloem in plants?
A.
Transport of water
B.
Transport of food
C.
Photosynthesis
D.
Storage of nutrients
Show solution
Solution
Phloem is responsible for the transport of food, particularly the sugars produced during photosynthesis, from the leaves to other parts of the plant.
Correct Answer:
B
— Transport of food
Learn More →
Q. What is the function of the immune system?
A.
To transport oxygen
B.
To protect against pathogens
C.
To regulate body temperature
D.
To digest food
Show solution
Solution
The immune system protects the body against infections and diseases by identifying and destroying pathogens.
Correct Answer:
B
— To protect against pathogens
Learn More →
Q. What is the function of the lysosome?
A.
Energy production
B.
Digestion of waste materials
C.
Protein synthesis
D.
Photosynthesis
Show solution
Solution
Lysosomes contain enzymes that break down waste materials and cellular debris.
Correct Answer:
B
— Digestion of waste materials
Learn More →
Q. What is the function of the skeletal system? (2022)
A.
To produce energy
B.
To protect internal organs
C.
To transport oxygen
D.
To regulate hormones
Show solution
Solution
The skeletal system provides structure and protection for internal organs, making option 2 the correct answer.
Correct Answer:
B
— To protect internal organs
Learn More →
Q. What is the GDP growth rate of India projected for 2023? (2023)
A.
5.5%
B.
6.0%
C.
6.8%
D.
7.5%
Show solution
Solution
The GDP growth rate of India is projected to be around 6.8% for 2023.
Correct Answer:
C
— 6.8%
Learn More →
Q. What is the general solution of the differential equation dy/dx = 3x^2?
A.
y = x^3 + C
B.
y = 3x^3 + C
C.
y = x^2 + C
D.
y = 3x^2 + C
Show solution
Solution
Integrating both sides gives y = ∫3x^2 dx = x^3 + C.
Correct Answer:
A
— y = x^3 + C
Learn More →
Q. What is the general solution of the differential equation dy/dx = 4y? (2019)
A.
y = Ce^(4x)
B.
y = Ce^(x/4)
C.
y = 4Ce^x
D.
y = 4Ce^(4x)
Show solution
Solution
The differential equation dy/dx = 4y can be solved using separation of variables, leading to y = Ce^(4x).
Correct Answer:
A
— y = Ce^(4x)
Learn More →
Q. What is the highest peak in India?
A.
K2
B.
Kangchenjunga
C.
Nanda Devi
D.
Mount Everest
Show solution
Solution
Kangchenjunga is the highest peak in India, standing at 8,586 meters.
Correct Answer:
B
— Kangchenjunga
Learn More →
Q. What is the indefinite integral of e^x? (2020)
A.
e^x + C
B.
e^x
C.
x e^x + C
D.
x^2 e^x + C
Show solution
Solution
The indefinite integral of e^x is e^x + C.
Correct Answer:
A
— e^x + C
Learn More →
Q. What is the integral of cos(3x) dx?
A.
(1/3)sin(3x) + C
B.
3sin(3x) + C
C.
(1/3)cos(3x) + C
D.
sin(3x) + C
Show solution
Solution
The integral of cos(3x) is (1/3)sin(3x) + C, where C is the constant of integration.
Correct Answer:
A
— (1/3)sin(3x) + C
Learn More →
Q. What is the integral of e^(2x) dx?
A.
(1/2)e^(2x) + C
B.
2e^(2x) + C
C.
e^(2x) + C
D.
(1/2)e^(x) + C
Show solution
Solution
The integral of e^(2x) is (1/2)e^(2x) + C, where C is the constant of integration.
Correct Answer:
A
— (1/2)e^(2x) + C
Learn More →
Q. What is the integral of e^(2x)? (2023)
A.
(1/2)e^(2x) + C
B.
2e^(2x) + C
C.
e^(2x) + C
D.
(1/2)e^(x) + C
Show solution
Solution
The integral of e^(2x) is (1/2)e^(2x) + C.
Correct Answer:
A
— (1/2)e^(2x) + C
Learn More →
Q. What is the integral of e^x dx?
A.
e^x + C
B.
e^x
C.
x e^x + C
D.
x e^x
Show solution
Solution
The integral of e^x is e^x + C, where C is the constant of integration.
Correct Answer:
A
— e^x + C
Learn More →
Showing 2761 to 2790 of 3872 (130 Pages)