Author: dexter
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HC Verma Chapter 23 Problem 47
Problem Temperature at which average KE per molecule = 1 eV. Key Concepts T=2E/(3k_B) Solution E=1.6e-19 J. T=2×1.6e-19/(3×1.38e-23)=7730 K Answer 7730 K Concept Check 1 eV/k_B=11600 K; 1 eV needs ~38x room T. Common Mistakes Forgetting 3/2 factor. Practice Tip 1 eV/k_B=11600 K benchmark.
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HC Verma Chapter 8 Problem 5
Given / Data HC Verma Chapter 8 Problem 5. Refer to your copy of Concepts of Physics Part 1 by H.C. Verma for the complete problem statement. Concept / Formula Work W=Fd cos(theta). KE=0.5mv^2. Work-energy theorem: W_net=DeltaKE. Energy conserved when no non-conservative forces act. Step-by-step Solution General approach for Chapter 8 Problem 5:Step 1: List…
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HC Verma Chapter 35 Problem 54
Chapter 35, Problem 54 Maxwell equations: div E = rho/eps0, div B = 0, curl E = -dB/dt, curl B = mu0 J + mu0 eps0 dE/dt.
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HC Verma Chapter 23 Problem 46
Problem N=2e24 diatomic molecules at 500 K. Total internal energy? Key Concepts U=(5/2)Nk_B T for diatomic Solution U=2.5x2e24x1.38e-23×500=3.45e4 J Answer 3.45 x 10^4 J Concept Check Verify: n=3.32 mol, U=(5/2)(3.32)(8.314)(500)=34524 J. Common Mistakes Using f=3 for diatomic. Practice Tip f=5 for diatomic at moderate T.
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HC Verma Chapter 8 Problem 4
Given / Data HC Verma Chapter 8 Problem 4. Refer to your copy of Concepts of Physics Part 1 by H.C. Verma for the complete problem statement. Concept / Formula Work W=Fd cos(theta). KE=0.5mv^2. Work-energy theorem: W_net=DeltaKE. Energy conserved when no non-conservative forces act. Step-by-step Solution General approach for Chapter 8 Problem 4:Step 1: List…
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HC Verma Chapter 35 Problem 53
Chapter 35, Problem 53 B inside capacitor at r < R_plate: B = mu0 I_d r/(2 pi R^2). Same form as inside a wire.
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HC Verma Chapter 23 Problem 45
Problem Total translational KE of 1 mole gas at 300 K. Key Concepts KE=(3/2)RT per mole Solution KE=1.5×8.314×300=3741 J Answer 3741 J Concept Check Same for monatomic and diatomic (translational only). Common Mistakes Including rotational energy. Practice Tip Translational KE=(3/2)nRT always.
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HC Verma Chapter 8 Problem 3
Given / Data HC Verma Chapter 8 Problem 3. Refer to your copy of Concepts of Physics Part 1 by H.C. Verma for the complete problem statement. Concept / Formula Work W=Fd cos(theta). KE=0.5mv^2. Work-energy theorem: W_net=DeltaKE. Energy conserved when no non-conservative forces act. Step-by-step Solution General approach for Chapter 8 Problem 3:Step 1: List…
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HC Verma Chapter 35 Problem 52
Chapter 35, Problem 52 In capacitor: I_d = C dV/dt = I_conduction. Ensures Ampere law is self-consistent.
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HC Verma Chapter 23 Problem 44
Problem 10^23 O2 in 2-litre at 300 K. Pressure? Key Concepts PV=Nk_B T Solution P=Nk_B T/V=(1e23x1.38e-23×300)/2e-3=414/0.002=2.07e5 Pa Answer 2.07 x 10^5 Pa (~2 atm) Concept Check PV=Nk_B T is microscopic ideal gas law. Common Mistakes Using R with count N instead of k_B. Practice Tip Nk_B=nR.