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
- Consider the following changes : $\text{SnO}_2 \rightarrow \text{SnO}$ $\Delta G_1^o$ and $\text{PbO}_2 \rightarrow \text{PbO}$ $\Delta G_2^o$. Select the correct option
- JEE Main - 2026
- Chemistry
- Thermodynamics terms
- One mole of a monatomic ideal gas is expanded by a process described by \( PV^3 = C \), where \( C \) is a constant. The heat capacity of the gas during the process is given by (R is the gas constant)
- OJEE - 2025
- Chemistry
- Thermodynamics terms
- One mole of a monatomic ideal gas is expanded by a process described by \( PV^3 = C \), where \( C \) is a constant. The heat capacity of the gas during the process is given by (R is the gas constant)
- OJEE - 2025
- Chemistry
- Thermodynamics terms
- The expression given below shows the variation of velocity \( v \) with time \( t \): \[ v = At^2 + \frac{Bt}{C + t}. \] The dimension of \( ABC \) is:
- 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
Questions Asked in JEE Main exam
- The displacement of a particle executing simple harmonic motion with time period \(T\) is expressed as \[ x(t)=A\sin\omega t, \] where \(A\) is the amplitude of oscillation. If the maximum value of the potential energy of the oscillator is found at \[ t=\frac{T}{2\beta}, \] then the value of \(\beta\) is ________.
- JEE Main - 2026
- Waves and Oscillations
- A complex number 'z' satisfy both \(|z-6|=5\) & \(|z+2-6i|=5\) simultaneously. Find the value of \(z^3 + 3z^2 - 15z + 141\).
- JEE Main - 2026
- Algebra
In the given figure, the blocks $A$, $B$ and $C$ weigh $4\,\text{kg}$, $6\,\text{kg}$ and $8\,\text{kg}$ respectively. The coefficient of sliding friction between any two surfaces is $0.5$. The force $\vec{F}$ required to slide the block $C$ with constant speed is ___ N.
(Given: $g = 10\,\text{m s}^{-2}$)
- JEE Main - 2026
- Rotational Mechanics
Two circular discs of radius \(10\) cm each are joined at their centres by a rod, as shown in the figure. The length of the rod is \(30\) cm and its mass is \(600\) g. The mass of each disc is also \(600\) g. If the applied torque between the two discs is \(43\times10^{-7}\) dyne·cm, then the angular acceleration of the system about the given axis \(AB\) is ________ rad s\(^{-2}\).
- JEE Main - 2026
- Rotational motion
- If \[ \frac{\tan(A-B)}{\tan A}+\frac{\sin^2 C}{\sin^2 A}=1, \quad A,B,C\in\left(0,\frac{\pi}{2}\right), \] then:
- JEE Main - 2026
- Trigonometry