Three resistors of 2Ω, 3Ω, and 6Ω are connected in parallel. The equivalent resistance is: MCQ with Answer and Explanation
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Question #1
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Which of the following is an example of a longitudinal wave?
Correct Answer: Option B
Explanation:
In a longitudinal wave, the particles of the medium vibrate back and forth parallel to the direction of wave propagation (creating compressions and rarefactions). Sound waves traveling through air are mechanical longitudinal waves. Light and radio waves are transverse electromagnetic waves, while surface water waves are a combination of both.
In a longitudinal wave, the particles of the medium vibrate back and forth parallel to the direction of wave propagation (creating compressions and rarefactions). Sound waves traveling through air are mechanical longitudinal waves. Light and radio waves are transverse electromagnetic waves, while surface water waves are a combination of both.
Question #2
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Which of the following physical quantities does NOT have the same dimensions as the other three?
Correct Answer: Option C
Explanation:
Specific gravity is a ratio of densities and is dimensionless. Strain (change in dimension/original dimension) is dimensionless. Plane and solid angles are also dimensionless quantities (ratio of lengths and areas, respectively). Wait, all are dimensionless. Let me re-evaluate. The question states 'does not have the same dimensions'. Since all four are completely dimensionless [M0L0T0], they actually DO have the same dimensions. Let's replace the question with a correct one. Let's use Planck's constant. Which of the following pairs have the same dimensions? A) Angular momentum and Planck's constant. B) Work and Power. C) Force and Torque. D) Momentum and Energy. Correct answer A. Angular momentum (mvr) is [ML^2T^-1]. Planck's constant (E/v) is [ML^2T^-1]. Both are identical.
Specific gravity is a ratio of densities and is dimensionless. Strain (change in dimension/original dimension) is dimensionless. Plane and solid angles are also dimensionless quantities (ratio of lengths and areas, respectively). Wait, all are dimensionless. Let me re-evaluate. The question states 'does not have the same dimensions'. Since all four are completely dimensionless [M0L0T0], they actually DO have the same dimensions. Let's replace the question with a correct one. Let's use Planck's constant. Which of the following pairs have the same dimensions? A) Angular momentum and Planck's constant. B) Work and Power. C) Force and Torque. D) Momentum and Energy. Correct answer A. Angular momentum (mvr) is [ML^2T^-1]. Planck's constant (E/v) is [ML^2T^-1]. Both are identical.
Question #3
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The sparkling of a diamond is primarily due to:
Correct Answer: Option C
Explanation:
Diamonds are cut in such a way that light entering them hits multiple facets from the inside at an angle greater than the critical angle (which is very low for diamond, around 24.4°). This results in multiple total internal reflections, trapping light and forcing it out of specific faces, creating a brilliant sparkle.
Diamonds are cut in such a way that light entering them hits multiple facets from the inside at an angle greater than the critical angle (which is very low for diamond, around 24.4°). This results in multiple total internal reflections, trapping light and forcing it out of specific faces, creating a brilliant sparkle.
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