Author: dexter

  • HC Verma Chapter 12 Problem 4

    Problem Statement (a) A block of mass $m = 1.5\,\text{kg}$ is attached to a spring of force constant $k = 90\,\text{N/m}$ on a smooth horizontal surface and set into oscillation with amplitude $A = 0.13\,\text{m}$. Find the angular frequency, the time period, and the maximum speed of the block. (b) A simple pendulum of length…

  • HC Verma Chapter 38 Problem 43

    Problem Statement A circular coil of $N = 50$ turns and radius $R = 20\,\text{cm}$ is in a field that changes by $\Delta B = 2.0\,\text{T}$ in $\Delta t = 0.4\,\text{s}$. The plane is perpendicular to the field. Find the induced emf. Given Information $N = 50$ turns $R = 0.20\,\text{m}$, area $A = \pi…

  • HC Verma Chapter 25 Problem 34

    Problem Statement How much heat is required to raise the temperature of $0.50\,\text{kg}$ of water by $30\,\text{K}$? Take the specific heat of water as $4186\,\text{J/(kg·K)}$. (HC Verma, Chapter 25 — Calorimetry, Problem 34.) Given Information $m = 0.50\,\text{kg}$ — mass of water $c = 4186\,\text{J/(kg·K)}$ — specific heat of water $\Delta T = 30\,\text{K}$ —…

  • HC Verma Chapter 12 Problem 3

    Problem Statement (a) A block of mass $m = 1.25\,\text{kg}$ is attached to a spring of force constant $k = 80\,\text{N/m}$ on a smooth horizontal surface and set into oscillation with amplitude $A = 0.11\,\text{m}$. Find the angular frequency, the time period, and the maximum speed of the block. (b) A simple pendulum of length…

  • HC Verma Chapter 12 Problem 3

    Problem Statement (a) A block of mass $m = 1.25\,\text{kg}$ is attached to a spring of force constant $k = 80\,\text{N/m}$ on a smooth horizontal surface and set into oscillation with amplitude $A = 0.11\,\text{m}$. Find the angular frequency, the time period, and the maximum speed of the block. (b) A simple pendulum of length…

  • HC Verma Chapter 38 Problem 42

    Problem Statement A circular coil of $N = 40$ turns and radius $R = 15\,\text{cm}$ is in a field that changes by $\Delta B = 1.5\,\text{T}$ in $\Delta t = 0.3\,\text{s}$. The plane is perpendicular to the field. Find the induced emf. Given Information $N = 40$ turns $R = 0.15\,\text{m}$, area $A = \pi…

  • HC Verma Chapter 25 Problem 33

    Problem Statement How much heat is required to raise the temperature of $0.50\,\text{kg}$ of water by $30\,\text{K}$? Take the specific heat of water as $4186\,\text{J/(kg·K)}$. (HC Verma, Chapter 25 — Calorimetry, Problem 33.) Given Information $m = 0.50\,\text{kg}$ — mass of water $c = 4186\,\text{J/(kg·K)}$ — specific heat of water $\Delta T = 30\,\text{K}$ —…

  • HC Verma Chapter 12 Problem 2

    Problem Statement (a) A block of mass $m = 1\,\text{kg}$ is attached to a spring of force constant $k = 70\,\text{N/m}$ on a smooth horizontal surface and set into oscillation with amplitude $A = 0.09\,\text{m}$. Find the angular frequency, the time period, and the maximum speed of the block. (b) A simple pendulum of length…

  • HC Verma Chapter 12 Problem 2

    Problem Statement (a) A block of mass $m = 1\,\text{kg}$ is attached to a spring of force constant $k = 70\,\text{N/m}$ on a smooth horizontal surface and set into oscillation with amplitude $A = 0.09\,\text{m}$. Find the angular frequency, the time period, and the maximum speed of the block. (b) A simple pendulum of length…

  • HC Verma Chapter 38 Problem 41

    Problem Statement A circular coil of $N = 30$ turns and radius $R = 10\,\text{cm}$ is in a field that changes by $\Delta B = 1.0\,\text{T}$ in $\Delta t = 0.2\,\text{s}$. The plane is perpendicular to the field. Find the induced emf. Given Information $N = 30$ turns $R = 0.10\,\text{m}$, area $A = \pi…