Major Competitive Exams
Q. In the context of adsorption, what does the term 'saturation' refer to?
-
A.
Complete coverage of the adsorbent surface
-
B.
Maximum temperature for adsorption
-
C.
Equilibrium state of adsorption and desorption
-
D.
None of the above
Solution
Saturation refers to the complete coverage of the adsorbent surface by the adsorbate.
Correct Answer: A — Complete coverage of the adsorbent surface
Learn More →
Q. In the context of diffraction, what does the term 'angular width' refer to?
-
A.
The angle between the first and second minima
-
B.
The angle of incidence
-
C.
The angle of reflection
-
D.
The angle of diffraction
Solution
Angular width refers to the angle between the first and second minima in a diffraction pattern.
Correct Answer: A — The angle between the first and second minima
Learn More →
Q. In the context of diffraction, what does the term 'coherence' refer to?
-
A.
The ability of waves to interfere
-
B.
The speed of light
-
C.
The intensity of light
-
D.
The wavelength of light
Solution
Coherence refers to the ability of waves to maintain a constant phase relationship, which is essential for producing clear interference patterns.
Correct Answer: A — The ability of waves to interfere
Learn More →
Q. In the context of diffraction, what does the term 'resolution' refer to?
-
A.
The ability to distinguish between two closely spaced objects
-
B.
The intensity of the diffracted light
-
C.
The wavelength of the light used
-
D.
The width of the slit
Solution
Resolution refers to the ability to distinguish between two closely spaced objects, which is affected by diffraction.
Correct Answer: A — The ability to distinguish between two closely spaced objects
Learn More →
Q. In the context of measurement, what does the term 'accuracy' refer to?
-
A.
The closeness of a measured value to the true value
-
B.
The repeatability of measurements
-
C.
The range of values within which the true value lies
-
D.
The number of significant figures in a measurement
Solution
Accuracy refers to how close a measured value is to the true or accepted value.
Correct Answer: A — The closeness of a measured value to the true value
Learn More →
Q. In the context of measurement, what does the term 'precision' refer to?
-
A.
The closeness of a measurement to the true value
-
B.
The reproducibility of measurements
-
C.
The range of values
-
D.
The average of measurements
Solution
Precision refers to the reproducibility of measurements, indicating how consistent the results are when repeated.
Correct Answer: B — The reproducibility of measurements
Learn More →
Q. In the context of the Biot-Savart Law, what does the symbol μ₀ represent?
-
A.
Electric permittivity
-
B.
Magnetic permeability of free space
-
C.
Magnetic field strength
-
D.
Electric field strength
Solution
The symbol μ₀ represents the magnetic permeability of free space, which is a constant used in the Biot-Savart Law.
Correct Answer: B — Magnetic permeability of free space
Learn More →
Q. In the context of the Biot-Savart Law, what does the term 'current element' refer to?
-
A.
A small segment of wire carrying current
-
B.
The total current in the wire
-
C.
The direction of current flow
-
D.
The magnetic field produced by the current
Solution
A 'current element' refers to a small segment of wire carrying current, which contributes to the overall magnetic field.
Correct Answer: A — A small segment of wire carrying current
Learn More →
Q. In the equilibrium constant expression Kc, what is the unit for Kc if the reaction is A(g) + B(g) ⇌ C(g)?
-
A.
mol/L
-
B.
L/mol
-
C.
dimensionless
-
D.
mol^2/L^2
Solution
The equilibrium constant Kc is dimensionless because it is a ratio of concentrations raised to their stoichiometric coefficients.
Correct Answer: C — dimensionless
Learn More →
Q. In the equilibrium reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), if SO2 is added, what will be the effect on the equilibrium?
-
A.
Shift to the right
-
B.
Shift to the left
-
C.
No change
-
D.
Increase in pressure
Solution
Adding SO2 will shift the equilibrium to the right to produce more SO3, according to Le Chatelier's principle.
Correct Answer: A — Shift to the right
Learn More →
Q. In the equilibrium reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), what happens if SO3 is removed?
-
A.
Shift to the right
-
B.
Shift to the left
-
C.
No change
-
D.
Increase in pressure
Solution
Removing SO3 will shift the equilibrium to the right to produce more SO3.
Correct Answer: A — Shift to the right
Learn More →
Q. In the expansion of (1 + x)^10, what is the coefficient of x^5?
-
A.
252
-
B.
210
-
C.
120
-
D.
300
Solution
The coefficient of x^5 is C(10,5) = 10! / (5!5!) = 252.
Correct Answer: A — 252
Learn More →
Q. In the expansion of (2 + 3x)^4, what is the coefficient of x?
Solution
The coefficient of x is C(4,1) * 2^3 * 3 = 4 * 8 * 3 = 96.
Correct Answer: A — 12
Learn More →
Q. In the expansion of (2 + 3x)^4, what is the coefficient of x^2?
Solution
The coefficient of x^2 is C(4,2) * (2)^2 * (3)^2 = 6 * 4 * 9 = 216.
Correct Answer: B — 54
Learn More →
Q. In the expansion of (2x + 3)^4, what is the coefficient of x^1?
Solution
The coefficient of x^1 is C(4,1) * (2)^1 * (3)^3 = 4 * 2 * 27 = 216.
Correct Answer: B — 48
Learn More →
Q. In the expansion of (2x + 3)^4, what is the coefficient of x^2?
-
A.
108
-
B.
72
-
C.
36
-
D.
144
Solution
The coefficient of x^2 is C(4,2) * (2)^2 * (3)^2 = 6 * 4 * 9 = 216.
Correct Answer: B — 72
Learn More →
Q. In the expansion of (2x + 3)^6, what is the coefficient of x^4?
-
A.
540
-
B.
720
-
C.
810
-
D.
900
Solution
The coefficient of x^4 is C(6,4) * (2)^4 * (3)^2 = 15 * 16 * 9 = 2160.
Correct Answer: B — 720
Learn More →
Q. In the expansion of (2x + 3y)^4, what is the coefficient of x^2y^2?
-
A.
108
-
B.
72
-
C.
36
-
D.
144
Solution
The coefficient is C(4,2) * (2)^2 * (3)^2 = 6 * 4 * 9 = 216.
Correct Answer: A — 108
Learn More →
Q. In the expansion of (2x + 5)^4, what is the coefficient of x^2?
-
A.
300
-
B.
600
-
C.
450
-
D.
500
Solution
The coefficient of x^2 is C(4,2) * (2)^2 * (5)^2 = 6 * 4 * 25 = 600.
Correct Answer: A — 300
Learn More →
Q. In the expansion of (2x - 3)^3, what is the coefficient of x?
-
A.
-9
-
B.
-18
-
C.
-27
-
D.
-6
Solution
The coefficient of x is C(3,1) * (2)^1 * (-3)^2 = 3 * 2 * 9 = -54.
Correct Answer: B — -18
Learn More →
Q. In the expansion of (2x - 3)^5, what is the coefficient of x^1?
-
A.
-15
-
B.
-30
-
C.
30
-
D.
15
Solution
The coefficient of x^1 is C(5,1) * (2)^1 * (-3)^4 = 5 * 2 * 81 = 810.
Correct Answer: B — -30
Learn More →
Q. In the expansion of (2x - 3)^5, what is the coefficient of x^2?
-
A.
-90
-
B.
-120
-
C.
-150
-
D.
-180
Solution
The coefficient of x^2 is C(5,2) * (2)^2 * (-3)^3 = 10 * 4 * (-27) = -1080.
Correct Answer: B — -120
Learn More →
Q. In the expansion of (2x - 3)^5, what is the coefficient of x^3?
-
A.
-540
-
B.
-720
-
C.
-960
-
D.
-1080
Solution
The coefficient of x^3 is C(5,3) * (2)^3 * (-3)^2 = 10 * 8 * 9 = -720.
Correct Answer: C — -960
Learn More →
Q. In the expansion of (2x - 3)^5, what is the coefficient of x^4?
-
A.
-90
-
B.
-120
-
C.
-150
-
D.
-180
Solution
The coefficient of x^4 is C(5,4) * (2)^4 * (-3)^1 = 5 * 16 * (-3) = -240.
Correct Answer: B — -120
Learn More →
Q. In the expansion of (x + 1/x)^6, what is the coefficient of x^0?
Solution
The coefficient of x^0 in (x + 1/x)^6 is given by 6C3 = 20.
Correct Answer: C — 20
Learn More →
Q. In the expansion of (x + 1/x)^8, what is the coefficient of x^4?
Solution
The coefficient of x^4 is C(8,4) = 70.
Correct Answer: B — 56
Learn More →
Q. In the expansion of (x + 2)^5, what is the coefficient of x^3?
Solution
The coefficient of x^3 is C(5,3) * (2)^2 = 10 * 4 = 40.
Correct Answer: B — 60
Learn More →
Q. In the expansion of (x + 2)^6, what is the term containing x^4?
-
A.
240
-
B.
360
-
C.
720
-
D.
480
Solution
The term containing x^4 is C(6,4) * (2)^2 * (x)^4 = 15 * 4 * x^4 = 60x^4.
Correct Answer: C — 720
Learn More →
Q. In the expansion of (x + 2)^7, what is the term containing x^5?
-
A.
672
-
B.
6720
-
C.
67200
-
D.
672000
Solution
The term containing x^5 is given by 7C5 * (2)^2 * (x)^5 = 21 * 4 * x^5 = 84x^5. Thus, the term is 84x^5.
Correct Answer: B — 6720
Learn More →
Q. In the expansion of (x + 5)^6, what is the coefficient of x^3?
-
A.
150
-
B.
200
-
C.
250
-
D.
300
Solution
The coefficient of x^3 is C(6, 3) * 5^3 = 20 * 125 = 250.
Correct Answer: B — 200
Learn More →
Showing 4771 to 4800 of 10068 (336 Pages)
