Q. What is the least count of a standard vernier caliper? (2021)
A.
0.01 cm
B.
0.1 cm
C.
1 cm
D.
0.001 cm
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Solution
The least count of a standard vernier caliper is typically 0.01 cm.
Correct Answer: A — 0.01 cm
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Q. What is the least count of a vernier caliper that can measure up to 0.01 cm? (2021)
A.
0.1 cm
B.
0.01 cm
C.
0.001 cm
D.
1 cm
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Solution
The least count of a vernier caliper is the smallest measurement it can accurately read, which is 0.01 cm in this case.
Correct Answer: B — 0.01 cm
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Q. What is the magnetic field inside a toroidal solenoid? (2023)
A.
Zero
B.
Uniform and non-zero
C.
Varies with position
D.
Depends on the current only
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Solution
The magnetic field inside a toroidal solenoid is uniform and non-zero, and it is given by B = (μ₀NI)/(2πr), where N is the number of turns, I is the current, and r is the distance from the center.
Correct Answer: B — Uniform and non-zero
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Q. What is the magnetic field strength at a distance 'r' from a long straight conductor carrying current 'I'? (2020)
A.
μ₀I/2πr
B.
μ₀I/4πr
C.
2μ₀I/πr
D.
μ₀I/πr
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Solution
The magnetic field strength (B) at a distance 'r' from a long straight conductor is given by the formula B = μ₀I/2πr.
Correct Answer: A — μ₀I/2πr
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Q. What is the magnetic moment of a circular loop of radius r carrying a current I? (2021)
A.
πr²I
B.
2πrI
C.
Ir²
D.
πrI
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Solution
The magnetic moment (μ) of a circular loop is given by μ = I × A, where A is the area of the loop. For a circular loop, A = πr², thus μ = I × πr² = πr²I.
Correct Answer: A — πr²I
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Q. What is the magnification produced by a concave mirror if the object distance is 10 cm and the image distance is 5 cm? (2019)
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Solution
Magnification (m) = -v/u. Here, v = -5 cm and u = -10 cm, so m = -(-5)/(-10) = 2.
Correct Answer: C — 2
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Q. What is the magnification produced by a concave mirror when the object is placed at the focus? (2019)
A.
1
B.
0
C.
Infinity
D.
Less than 1
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Solution
When the object is placed at the focus of a concave mirror, the image is formed at infinity, leading to infinite magnification.
Correct Answer: C — Infinity
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Q. What is the main assumption of the quantum mechanical model of the atom? (2023)
A.
Electrons are in fixed orbits
B.
Electrons have wave-like properties
C.
Electrons are stationary
D.
Electrons have no mass
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Solution
The quantum mechanical model assumes that electrons exhibit both particle and wave-like properties.
Correct Answer: B — Electrons have wave-like properties
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Q. What is the main consequence of nuclear fusion? (2023)
A.
Release of energy
B.
Formation of heavier elements
C.
Emission of alpha particles
D.
All of the above
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Solution
The main consequence of nuclear fusion is the release of a significant amount of energy as lighter nuclei combine to form heavier nuclei.
Correct Answer: A — Release of energy
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Q. What is the main difference between isotopes of an element? (2022)
A.
Number of protons
B.
Number of neutrons
C.
Number of electrons
D.
Chemical properties
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Solution
Isotopes of an element differ in the number of neutrons while having the same number of protons.
Correct Answer: B — Number of neutrons
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Q. What is the main force that holds the nucleus together? (2020)
A.
Electromagnetic force
B.
Gravitational force
C.
Weak nuclear force
D.
Strong nuclear force
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Solution
The strong nuclear force is the primary force that holds the nucleons (protons and neutrons) together in the nucleus.
Correct Answer: D — Strong nuclear force
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Q. What is the main function of a transistor? (2022)
A.
Rectification
B.
Amplification
C.
Capacitance
D.
Inductance
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Solution
The main function of a transistor is to amplify electrical signals.
Correct Answer: B — Amplification
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Q. What is the main idea behind the concept of quantization in atomic physics? (2023)
A.
Energy levels are continuous
B.
Energy levels are discrete
C.
Electrons can exist anywhere
D.
Atoms are indivisible
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Solution
Quantization in atomic physics means that energy levels in an atom are discrete, not continuous.
Correct Answer: B — Energy levels are discrete
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Q. What is the main limitation of the Rutherford model of the atom? (2019)
A.
It does not explain the stability of atoms
B.
It does not account for neutrons
C.
It cannot explain spectral lines
D.
It does not include electrons
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Solution
The Rutherford model fails to explain why electrons do not spiral into the nucleus, thus not accounting for atomic stability.
Correct Answer: A — It does not explain the stability of atoms
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Q. What is the main product of the fusion of hydrogen nuclei? (2022)
A.
Helium
B.
Carbon
C.
Oxygen
D.
Nitrogen
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Solution
The fusion of hydrogen nuclei primarily produces helium, along with a release of energy.
Correct Answer: A — Helium
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Q. What is the main purpose of a choke in an AC circuit? (2022)
A.
To increase current
B.
To decrease current
C.
To store energy
D.
To convert AC to DC
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Solution
A choke is used to decrease current in an AC circuit by providing inductive reactance.
Correct Answer: B — To decrease current
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Q. What is the main purpose of using significant figures in measurements? (2019)
A.
To increase the number of digits
B.
To indicate precision
C.
To simplify calculations
D.
To convert units
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Solution
Significant figures indicate the precision of a measurement, reflecting the certainty of the digits.
Correct Answer: B — To indicate precision
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Q. What is the main reason for the stability of the electron in an atom? (2019)
A.
Electrostatic attraction to the nucleus
B.
High energy levels
C.
Quantum tunneling
D.
Magnetic forces
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Solution
The stability of the electron in an atom is primarily due to the electrostatic attraction between the negatively charged electrons and the positively charged nucleus.
Correct Answer: A — Electrostatic attraction to the nucleus
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Q. What is the mass defect of a nucleus? (2019)
A.
The difference between the mass of the nucleus and the sum of the masses of its individual nucleons
B.
The mass of the nucleus itself
C.
The mass of the electrons surrounding the nucleus
D.
The mass of the nucleus in a different state
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Solution
The mass defect is the difference between the mass of the nucleus and the sum of the masses of its individual nucleons, which accounts for the binding energy.
Correct Answer: A — The difference between the mass of the nucleus and the sum of the masses of its individual nucleons
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Q. What is the maximum displacement from the mean position in simple harmonic motion called? (2022)
A.
Amplitude
B.
Frequency
C.
Period
D.
Wavelength
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Solution
The maximum displacement from the mean position in simple harmonic motion is called the amplitude.
Correct Answer: A — Amplitude
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Q. What is the maximum number of electrons that can occupy the n=3 energy level in an atom? (2021)
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Solution
The maximum number of electrons in an energy level is given by the formula 2n². For n=3, it is 2(3)² = 18.
Correct Answer: C — 18
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Q. What is the maximum number of electrons that can occupy the n=4 energy level? (2021)
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Solution
The maximum number of electrons in an energy level is given by 2n^2. For n=4, it is 2(4^2) = 32.
Correct Answer: B — 18
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Q. What is the minimum thickness of a soap bubble for which the first order of bright fringe is observed in reflected light? (2020)
A.
λ/4
B.
λ/2
C.
λ
D.
3λ/4
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Solution
For the first order of bright fringe in reflected light, the minimum thickness of the soap bubble is λ/4 due to the phase change upon reflection.
Correct Answer: A — λ/4
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Q. What is the nature of the image formed by a concave mirror when the object is placed between the focal point and the mirror? (2021)
A.
Real and inverted
B.
Virtual and erect
C.
Real and erect
D.
Virtual and inverted
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Solution
When the object is placed between the focal point and the mirror, the image formed is virtual and erect.
Correct Answer: B — Virtual and erect
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Q. What is the nature of the image formed by a convex lens when the object is placed beyond the 2F point? (2019)
A.
Real and inverted
B.
Virtual and erect
C.
Real and erect
D.
Virtual and inverted
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Solution
When the object is placed beyond 2F, the image formed by a convex lens is real, inverted, and diminished.
Correct Answer: A — Real and inverted
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Q. What is the path difference for the first minimum in a single-slit diffraction pattern? (2021)
A.
λ/2
B.
λ
C.
3λ/2
D.
λ/4
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Solution
The path difference for the first minimum in single-slit diffraction is λ/2.
Correct Answer: A — λ/2
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Q. What is the peak voltage of an AC source if its RMS voltage is 220 V? (2021)
A.
311 V
B.
220 V
C.
155 V
D.
440 V
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Solution
The peak voltage (V_peak) is related to the RMS voltage (V_rms) by the formula V_peak = V_rms × √2. Therefore, V_peak = 220 V × √2 ≈ 311 V.
Correct Answer: A — 311 V
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Q. What is the peak voltage of an AC supply if its RMS voltage is 220 V? (2021)
A.
311 V
B.
220 V
C.
155 V
D.
440 V
Show solution
Solution
The peak voltage (V_peak) is related to the RMS voltage (V_rms) by the formula V_peak = V_rms × √2. Therefore, V_peak = 220 V × √2 ≈ 311 V.
Correct Answer: A — 311 V
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Q. What is the percentage error if the measured value is 10.0 and the true value is 9.5? (2021)
A.
5.26%
B.
4.76%
C.
2.5%
D.
10%
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Solution
Percentage error = (|Measured - True| / True) × 100 = (|10.0 - 9.5| / 9.5) × 100 = 5.26%.
Correct Answer: B — 4.76%
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Q. What is the percentage error if the measured value is 20 and the true value is 25? (2021)
A.
20%
B.
25%
C.
5%
D.
10%
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Solution
Percentage error is calculated as (|True Value - Measured Value| / True Value) * 100 = (|25 - 20| / 25) * 100 = 20%.
Correct Answer: D — 10%
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