Which one of the following graphs accurately represents the variation of magnetic field (B) with distance (r) from the exact center of a solid, current-carrying cylindrical wire of radius R? MCQ with Answer and Explanation
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Question #1
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Work per unit charge to move between points is:
Correct Answer: Option A
Explanation:
Potential difference V = W/q: work per unit charge. Electric field E = F/q: force per unit charge. Memory tip: 'Potential = work/charge (scalar); Field = force/charge (vector)'. Electrostatics definition frequently tested in competitive exams.
Potential difference V = W/q: work per unit charge. Electric field E = F/q: force per unit charge. Memory tip: 'Potential = work/charge (scalar); Field = force/charge (vector)'. Electrostatics definition frequently tested in competitive exams.
Question #2
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Which of the following pairs of physical quantities has the same dimensions?
Correct Answer: Option A
Explanation:
Angular momentum (L = mvr) has dimensions [ML²T⁻¹]. Planck's constant (h = E/ν) also has dimensions [ML²T⁻¹]. They share the same dimensional formula. Force is [MLT⁻²], Power is [ML²T⁻³], Momentum is [MLT⁻¹], and Strain is a dimensionless quantity [M⁰L⁰T⁰]. This is a frequent exam question.
Angular momentum (L = mvr) has dimensions [ML²T⁻¹]. Planck's constant (h = E/ν) also has dimensions [ML²T⁻¹]. They share the same dimensional formula. Force is [MLT⁻²], Power is [ML²T⁻³], Momentum is [MLT⁻¹], and Strain is a dimensionless quantity [M⁰L⁰T⁰]. This is a frequent exam question.
Question #3
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An echo is heard after 2 seconds from a cliff. If speed of sound is 340 m/s, distance of cliff is
Correct Answer: Option A
Explanation:
Sound travels to cliff and back. Total distance = speed × time = 340 × 2 = 680 m. So distance to cliff = 680/2 = 340 m. Use formula d = (v × t)/2. Time for round trip. Minimum distance for echo 17 m (approx) for 0.1 s persistence.
Sound travels to cliff and back. Total distance = speed × time = 340 × 2 = 680 m. So distance to cliff = 680/2 = 340 m. Use formula d = (v × t)/2. Time for round trip. Minimum distance for echo 17 m (approx) for 0.1 s persistence.
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