Which of the following figure represents the relation between Celsius and Fahrenheit temperatures?
Show Hint
The Correct Option is A
Approach Solution - 1
The relation between Celsius and Fahrenheit temperatures is given by the linear equation: \[ F = \frac{9}{5}C + 32. \] This is a straight line with a slope of \( \frac{9}{5} \) and a y-intercept of 32, meaning that when the Celsius temperature is 0°C, the Fahrenheit temperature is 32°F. Thus, the relationship between Celsius and Fahrenheit is a straight line with a positive slope that does not pass through the origin but intersects the Fahrenheit axis at 32°F. In the provided options, the correct figure is one where the line passes through the origin and has a positive slope, matching the relationship of the Celsius to Fahrenheit scale (but offset by the starting point).
Final Answer: Option (1).
Approach Solution -2
The relation between Celsius and Fahrenheit temperatures is linear. The formula for converting Celsius temperature (\( C \)) to Fahrenheit temperature (\( F \)) is: \[ F = \frac{9}{5}C + 32. \] This equation represents a straight line with a slope of \( \frac{9}{5} \) and a y-intercept of 32.
Step 2: Analyze the figure.
The figure provided shows a straight line passing through the origin (0, 0) and decreasing in a linear fashion. This suggests that it is a representation of a temperature scale with a negative slope, which is consistent with the equation \( F = \frac{9}{5}C + 32 \), where the y-intercept corresponds to 32 degrees (the freezing point of water in Fahrenheit).
Step 3: Conclusion.
The figure represents the correct relationship between Celsius and Fahrenheit temperatures.
Final Answer:
\[ \boxed{\text{The figure represents the relation between Celsius and Fahrenheit temperatures.}}\]
Top Questions on Thermodynamics terms
- A Carnot engine (E) is working between two temperatures 473K and 273K. In a new system two engines - engine \(E_1\) works between 473K to 373K and engine \(E_2\) works between 373K to 273K. If \(\eta_{12}\), \(\eta_1\) and \(\eta_2\) are the efficiencies of the engines \(E\), \(E_1\) and \(E_2\), respectively, then:
- JEE Main - 2025
- Physics
- Thermodynamics terms
- A Carnot engine (E) is working between two temperatures 473K and 273K. In a new system two engines - engine \(E_1\) works between 473K to 373K and engine \(E_2\) works between 373K to 273K. If \(\eta_{12}\), \(\eta_1\) and \(\eta_2\) are the efficiencies of the engines \(E\), \(E_1\) and \(E_2\), respectively, then:
- JEE Main - 2025
- Physics
- Thermodynamics terms
- Which of the following figure represents the relation between Celsius and Fahrenheit temperatures?
- JEE Main - 2025
- Physics
- Thermodynamics terms
- Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: In a central force field, the work done is independent of the path chosen. Reason R: Every force encountered in mechanics does not have an associated potential energy. In the light of the above statements, choose the most appropriate answer from the options given below.
- JEE Main - 2025
- Physics
- Thermodynamics terms
- Young's double slit interference apparatus is immersed in a liquid of refractive index 1.44. It has slit separation of 1.5 mm. The slits are illuminated by a parallel beam of light whose wavelength in air is 690 nm. The fringe-width on a screen placed behind the plane of slits at a distance of 0.72 m, will be:
- JEE Main - 2025
- Physics
- Thermodynamics terms
Questions Asked in JEE Main exam
The integral is given by:
\[ 80 \int_{0}^{\frac{\pi}{4}} \frac{\sin\theta + \cos\theta}{9 + 16 \sin 2\theta} d\theta \]
is equals to?
- JEE Main - 2025
- Integration
- Let \( A(6,8) \), \( B(10\cos\alpha, -10\sin\alpha) \), and \( C(-10\sin\alpha, 10\cos\alpha) \) be the vertices of a triangle. If \( L(a,9) \) and \( G(h,k) \) be its orthocenter and centroid respectively, then \( 5a - 3h + 6k + 100\sin2\alpha \) is equal to _____ .
- JEE Main - 2025
- Coordinate Geometry
- If \[ \sum_{r=1}^{30} r^2 \left( \binom{30}{r} \right)^2 = \alpha \times 2^{29}, \] then \( \alpha \) is equal to _________.
- JEE Main - 2025
- Combinatorics
The IUPAC name of the following compound is:
- JEE Main - 2025
- Nomenclature Of Organic Compounds
Which of the following is the correct IUPAC name of the given organic compound (X)?
The structure of compound $ X $ is as follows:$ \text{H}_3\text{C} - \text{CH}_3 - \text{CH} = \text{CH} - \text{H} - \text{Br} $
- JEE Main - 2025
- Nomenclature Of Organic Compounds