RE: Interesting

 Kishan ,

 

Just a few minutes ago , I read a post by Sam Altman re this

 

Will we need to “ re-work “ our development ?

 

If it does not mean any delay in our target , pl switch over

 

Earlier you had indicated that each Mock Test might cost us 23 – 25 paise

 

What would it cost with GPT 4o-mini  ?

 

hcp

 

 

 

From: Kishan Kokal [mailto:kokalkishan.official@gmail.com]

 

 

Sent: 19 July 2024 12:08

 

To: Hemen Parekh

 

 

Subject: Interesting

 

OpenAI has introduced a new model, GPT-4o-mini, which is 60% more affordable and excels at generating questions.

https://openai.com/index/gpt-4o-mini-advancing-cost-efficient-intelligence/

e.g.
{
  "questions": {
    "questions": [
      {
        "question": "A point charge of +2 μC is placed at the origin. What is the electric field intensity at a point located 0.5 m along the positive x-axis?",
        "options": [
          "7200 N/C",
          "3600 N/C",
          "1800 N/C",
          "900 N/C"
        ],
        "answer": "A",
        "solution": "The electric field E due to a point charge Q at a distance r is given by the formula E = k * |Q| / r², where k = 9 × 10⁹ N m²/C². Here, Q = +2 × 10⁻⁶ C and r = 0.5 m. Therefore, E = (9 × 10⁹) * (2 × 10⁻⁶) / (0.5)² = 7200 N/C. Other options are incorrect due to incorrect calculations of E."
      },
      {
        "question": "A wire carries a current of 5 A. If the resistance of the wire is 2 ohms, what is the potential difference across it?",
        "options": [
          "10 V",
          "5 V",
          "2 V",
          "25 V"
        ],
        "answer": "A",
        "solution": "Using Ohm's Law, V = I * R, where I is the current and R is the resistance. Here, I = 5 A and R = 2 ohms. Therefore, V = 5 * 2 = 10 V. The other options come from incorrect applications of Ohm's Law."
      },
      {
        "question": "What is the wavelength of a light wave that has a frequency of 5 × 10¹⁴ Hz? (Use the speed of light c = 3 × 10⁸ m/s)",
        "options": [
          "0.6 μm",
          "0.5 μm",
          "0.4 μm",
          "0.3 μm"
        ],
        "answer": "B",
        "solution": "The wavelength λ can be calculated using the formula λ = c / f. Here, c = 3 × 10⁸ m/s and f = 5 × 10¹⁴ Hz. Thus, λ = (3 × 10⁸) / (5 × 10¹⁴) = 0.6 μm. Other options are incorrect due to miscalculations."
      },
      {
        "question": "A lens forms a real image twice the size of an object. If the object distance is 10 cm, what is the image distance?",
        "options": [
          "20 cm",
          "15 cm",
          "25 cm",
          "30 cm"
        ],
        "answer": "A",
        "solution": "Using the magnification formula m = -v/u, with m = 2 (real image) and u = -10 cm, we have 2 = -v / -10, leading to v = 20 cm. Other options are incorrect based on the application of the magnification formula."
      },
      {
        "question": "In a parallel plate capacitor, if the area of the plates is doubled while keeping the separation constant, how does the capacitance change?",
        "options": [
          "Doubles",
          "Halves",
          "Remains the same",
          "Increases by a factor of four"
        ],
        "answer": "A",
        "solution": "Capacitance C is given by C = ε₀ * A / d. If A is doubled and d remains constant, C will also double. Other options are incorrect as they misinterpret the relationship between area and capacitance."
      },
      {
        "question": "A particle moves in a circular path of radius 2 m with a constant speed of 4 m/s. What is the magnitude of the centripetal acceleration?",
        "options": [
          "8 m/s²",
          "4 m/s²",
          "2 m/s²",
          "16 m/s²"
        ],
        "answer": "A",
        "solution": "Centripetal acceleration a_c = v² / r. Here, v = 4 m/s and r = 2 m. Thus, a_c = (4)² / 2 = 8 m/s². Other options are incorrect due to miscalculations of acceleration."
      },
      {
        "question": "What is the work done by a force of 10 N acting on an object that moves 5 m in the direction of the force?",
        "options": [
          "50 J",
          "25 J",
          "10 J",
          "5 J"
        ],
        "answer": "A",
        "solution": "Work done W = F * d * cos(θ). Here, F = 10 N, d = 5 m, and θ = 0° (force in direction of displacement). Thus, W = 10 * 5 * 1 = 50 J. Other options are incorrect calculations of work."
      },
      {
        "question": "A 100 W bulb is used for 5 hours. How much energy does it consume in kWh?",
        "options": [
          "0.5 kWh",
          "1 kWh",
          "2 kWh",
          "0.25 kWh"
        ],
        "answer": "B",
        "solution": "Energy consumed (in kWh) = Power (kW) × Time (h). Here, 100 W = 0.1 kW and time = 5 hours. Thus, Energy = 0.1 * 5 = 0.5 kWh. Other options are incorrect due to misinterpretation of energy consumption."
      },
      {
        "question": "A wave is described by the equation y(x, t) = 0.1 sin(2π(0.01x - 50t)). What is the wave speed?",
        "options": [
          "100 m/s",
          "200 m/s",
          "50 m/s",
          "20 m/s"
        ],
        "answer": "A",
        "solution": "The wave speed v = fλ. Here, f = 50 Hz (from 50t) and λ = 2π / (0.01) = 200 m. Thus, v = 50 * 200 = 100 m/s. Other options are incorrect due to miscalculations of wave parameters."
      },
      {
        "question": "Which of the following principles is applied in the working of a transformer?",
        "options": [
          "Conservation of energy",
          "Faraday's law of electromagnetic induction",
          "Ohm's law",
          "Lenz's law"
        ],
        "answer": "B",
        "solution": "Transformers work on the principle of electromagnetic induction, specifically Faraday's law. Other options are incorrect as they relate to different concepts in physics."