Beats observable when frequencies are: MCQ with Answer and Explanation
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Question #1
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The dimensional formula of Planck's constant is identical to that of:
Correct Answer: Option C
Explanation:
Planck's constant (h) has dimensions [ML²T⁻¹]. Angular momentum (L = mvr) has dimensions [M][LT⁻¹][L] = [ML²T⁻¹], matching exactly. Linear momentum is [MLT⁻¹], force is [MLT⁻²], and torque is [ML²T⁻²]. This dimensional equivalence is fundamental in quantum mechanics, linking wave-particle duality. Memory tip: Both represent 'action' quantities with identical dimensional structure. This concept frequently appears in competitive exams testing dimensional analysis skills.
Planck's constant (h) has dimensions [ML²T⁻¹]. Angular momentum (L = mvr) has dimensions [M][LT⁻¹][L] = [ML²T⁻¹], matching exactly. Linear momentum is [MLT⁻¹], force is [MLT⁻²], and torque is [ML²T⁻²]. This dimensional equivalence is fundamental in quantum mechanics, linking wave-particle duality. Memory tip: Both represent 'action' quantities with identical dimensional structure. This concept frequently appears in competitive exams testing dimensional analysis skills.
Question #2
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The First Law of Thermodynamics is essentially a specific application of which fundamental principle of physics?
Correct Answer: Option B
Explanation:
The first law of thermodynamics states that the heat supplied to a system (dQ) is equal to the change in its internal energy (dU) plus the work done by the system (dW): dQ = dU + dW. This is the law of conservation of energy applied to thermodynamic systems, stating that energy cannot be created or destroyed, only transferred or changed in form.
The first law of thermodynamics states that the heat supplied to a system (dQ) is equal to the change in its internal energy (dU) plus the work done by the system (dW): dQ = dU + dW. This is the law of conservation of energy applied to thermodynamic systems, stating that energy cannot be created or destroyed, only transferred or changed in form.
Question #3
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A convex lens of focal length 20 cm is used as a magnifying glass. For maximum magnification, object should be placed at
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