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%
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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
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Q. What is the error in measurement if the true value is 100 and the measured value is 95? (2023)
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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
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Q. What is the expected genotypic ratio in the F2 generation of a dihybrid cross? (2019)
A.
1:2:1
B.
3:1
C.
9:3:3:1
D.
1:1:1:1
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Solution
In a dihybrid cross, the expected genotypic ratio in the F2 generation is 9:3:3:1.
Correct Answer: C — 9:3:3:1
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Q. What is the expected ratio of phenotypes in a cross between two purebred parents with contrasting traits? (2019)
A.
1:1
B.
3:1
C.
9:3:3:1
D.
1:2:1
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Solution
The expected ratio of phenotypes in a cross between two purebred parents with contrasting traits is 1:1 in the F1 generation when they are crossed with each other.
Correct Answer: A — 1:1
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Q. What is the female reproductive part of a flower called? (2022)
A.
Stamen
B.
Pistil
C.
Petal
D.
Sepal
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Solution
The pistil is the female reproductive part of the flower, consisting of the ovary, style, and stigma.
Correct Answer: B — Pistil
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Q. What is the focal length of a concave mirror if an object placed at a distance of 30 cm produces an image at a distance of 10 cm? (2021)
A.
5 cm
B.
10 cm
C.
15 cm
D.
20 cm
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Solution
Using the mirror formula, 1/f = 1/v + 1/u; here, v = -10 cm (real image) and u = -30 cm (object distance). Thus, 1/f = 1/(-10) + 1/(-30) = -1/6, so f = 5 cm.
Correct Answer: A — 5 cm
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Q. What is the focal length of a concave mirror if the object distance is 30 cm and the image distance is 15 cm? (2021)
A.
10 cm
B.
15 cm
C.
20 cm
D.
25 cm
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Solution
Using the mirror formula, 1/f = 1/v + 1/u. Here, v = -15 cm (real image) and u = -30 cm (object distance). Thus, 1/f = 1/(-15) + 1/(-30) = -1/10, so f = -10 cm.
Correct Answer: A — 10 cm
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Q. What is the focal length of a concave mirror if the object is placed at a distance of 30 cm and the image is formed at a distance of 15 cm from the mirror? (2021)
A.
10 cm
B.
15 cm
C.
20 cm
D.
25 cm
Show solution
Solution
Using the mirror formula, 1/f = 1/v + 1/u. Here, v = -15 cm (image distance is negative for concave mirror) and u = -30 cm. Therefore, 1/f = 1/(-15) + 1/(-30) = -1/10. Thus, f = 10 cm.
Correct Answer: A — 10 cm
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Q. What is the formula for calculating the absolute error? (2023)
A.
Measured value - True value
B.
True value - Measured value
C.
Measured value + True value
D.
Measured value / True value
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Solution
Absolute error is calculated as the difference between the measured value and the true value.
Correct Answer: A — Measured value - True value
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Q. What is the formula for calculating the average power in an AC circuit? (2023)
A.
P = VI
B.
P = VI cos(φ)
C.
P = V^2/R
D.
P = I^2R
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Solution
The average power (P) in an AC circuit is given by P = VI cos(φ), where φ is the phase difference between voltage and current.
Correct Answer: B — P = VI cos(φ)
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Q. What is the formula for calculating the density of a crystalline solid? (2020)
A.
Density = mass/volume
B.
Density = volume/mass
C.
Density = mass × volume
D.
Density = mass + volume
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Solution
The density of a crystalline solid is calculated using the formula Density = mass/volume.
Correct Answer: A — Density = mass/volume
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Q. What is the formula for calculating the heat energy required to change the temperature of a substance? (2020)
A.
Q = mcΔT
B.
Q = mL
C.
Q = mgh
D.
Q = PV
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Solution
The formula for calculating the heat energy required to change the temperature of a substance is Q = mcΔT, where m is mass, c is specific heat capacity, and ΔT is the change in temperature.
Correct Answer: A — Q = mcΔT
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Q. What is the formula for calculating the heat transfer due to conduction? (2023)
A.
Q = mcΔT
B.
Q = kA(T1-T2)/d
C.
Q = mL
D.
Q = hA(T1-T2)
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Solution
The formula for calculating heat transfer due to conduction is Q = kA(T1-T2)/d, where k is the thermal conductivity, A is the area, and d is the thickness.
Correct Answer: B — Q = kA(T1-T2)/d
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Q. What is the formula for calculating the heat transfer in a substance? (2023)
A.
Q = mcΔT
B.
Q = mgh
C.
Q = mv²/2
D.
Q = PΔt
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Solution
The formula for calculating the heat transfer in a substance is Q = mcΔT, where Q is the heat added, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.
Correct Answer: A — Q = mcΔT
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Q. What is the formula for calculating the impedance in an RLC series circuit? (2022)
A.
Z = R + jX
B.
Z = √(R^2 + X^2)
C.
Z = R + X
D.
Z = R - jX
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Solution
The impedance (Z) in an RLC series circuit is calculated using the formula Z = √(R^2 + X^2), where X is the total reactance.
Correct Answer: B — Z = √(R^2 + X^2)
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Q. What is the formula for calculating the induced EMF in a coil? (2023)
A.
E = -dΦ/dt
B.
E = R * I
C.
E = V * I
D.
E = L * di/dt
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Solution
The induced EMF in a coil is given by the formula E = -dΦ/dt, where Φ is the magnetic flux.
Correct Answer: A — E = -dΦ/dt
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Q. What is the formula for calculating the number of atoms in a face-centered cubic unit cell? (2022)
A.
N = 4
B.
N = 2
C.
N = 1
D.
N = 8
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Solution
In a face-centered cubic unit cell, there are 4 atoms (1/8 from each of the 8 corners and 1/2 from each of the 6 faces).
Correct Answer: A — N = 4
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Q. What is the formula for calculating the number of moles from mass and molar mass? (2023)
A.
moles = mass × molar mass
B.
moles = mass / molar mass
C.
moles = molar mass / mass
D.
moles = mass + molar mass
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Solution
The correct formula is moles = mass / molar mass.
Correct Answer: B — moles = mass / molar mass
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Q. What is the formula for calculating the number of moles from mass? (2023)
A.
moles = mass / molar mass
B.
moles = mass × molar mass
C.
moles = mass + molar mass
D.
moles = mass - molar mass
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Solution
The formula for calculating the number of moles is moles = mass / molar mass.
Correct Answer: A — moles = mass / molar mass
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Q. What is the formula for calculating the number of moles of solute in a solution? (2023)
A.
Molarity x Volume
B.
Molarity / Volume
C.
Volume / Molarity
D.
Moles x Volume
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Solution
Number of moles = Molarity x Volume (in liters).
Correct Answer: A — Molarity x Volume
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Q. What is the formula for calculating work done? (2023)
A.
W = Fd cos(θ)
B.
W = Fd sin(θ)
C.
W = F + d
D.
W = F/d
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Solution
The formula for work done (W) is W = Fd cos(θ), where F is the force, d is the displacement, and θ is the angle between the force and displacement.
Correct Answer: A — W = Fd cos(θ)
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Q. What is the formula for kinetic energy? (2023)
A.
KE = mv²
B.
KE = 1/2 mv²
C.
KE = mgh
D.
KE = Fd
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Solution
The formula for kinetic energy (KE) is KE = 1/2 mv², where m is mass and v is velocity.
Correct Answer: B — KE = 1/2 mv²
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Q. What is the formula for the inductive reactance (X_L) in an AC circuit? (2022)
A.
X_L = 2πfL
B.
X_L = R/L
C.
X_L = 1/(2πfC)
D.
X_L = V/I
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Solution
The formula for inductive reactance is X_L = 2πfL, where f is the frequency and L is the inductance.
Correct Answer: A — X_L = 2πfL
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Q. What is the formula for the magnetic field at the center of a circular loop of radius r carrying a current I? (2023)
A.
B = μ₀I/2r
B.
B = μ₀I/r
C.
B = μ₀I/4r
D.
B = μ₀I/πr
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Solution
The magnetic field (B) at the center of a circular loop is given by B = μ₀I/2r.
Correct Answer: A — B = μ₀I/2r
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Q. What is the freezing point depression of a solution containing 1 mole of NaCl in 1 kg of water? (2022)
A.
1.86 °C
B.
3.72 °C
C.
2.52 °C
D.
0.93 °C
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Solution
Freezing point depression = i * Kf * m = 2 * 1.86 * 1 = 3.72 °C (i = 2 for NaCl).
Correct Answer: A — 1.86 °C
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Q. What is the freezing point depression of a solution containing 1 mole of solute in 1 kg of water? (Kf for water = 1.86 °C kg/mol) (2020)
A.
1.86 °C
B.
3.72 °C
C.
0.93 °C
D.
2.78 °C
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Solution
Freezing point depression = Kf * m = 1.86 °C kg/mol * 1 mol/kg = 1.86 °C.
Correct Answer: A — 1.86 °C
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Q. What is the freezing point depression of a solution containing 3 moles of KCl in 1 kg of water? (Kf for water = 1.86 °C kg/mol) (2022)
A.
5.58 °C
B.
3.72 °C
C.
1.86 °C
D.
7.44 °C
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Solution
Freezing point depression = i * Kf * m = 3 * 1.86 * 3 = 5.58 °C (i = 2 for KCl).
Correct Answer: A — 5.58 °C
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Q. What is the frequency of a wave if its wavelength is 2 meters and its speed is 340 m/s? (2021)
A.
170 Hz
B.
340 Hz
C.
68 Hz
D.
85 Hz
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Solution
Frequency (f) can be calculated using the formula f = v/λ. Here, f = 340 m/s / 2 m = 170 Hz.
Correct Answer: A — 170 Hz
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Q. What is the frequency of a wave if its wavelength is 2 meters and the speed of the wave is 340 m/s? (2020)
A.
170 Hz
B.
340 Hz
C.
85 Hz
D.
420 Hz
Show solution
Solution
Frequency (f) can be calculated using the formula f = v/λ. Here, f = 340 m/s / 2 m = 170 Hz.
Correct Answer: A — 170 Hz
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Q. What is the frequency of a wave if its wavelength is 2 meters and the speed of the wave is 10 m/s? (2022)
A.
2 Hz
B.
5 Hz
C.
10 Hz
D.
20 Hz
Show solution
Solution
Frequency (f) can be calculated using the formula f = v/λ. Here, f = 10 m/s / 2 m = 5 Hz.
Correct Answer: B — 5 Hz
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