The temperature of a body on the Kelvin scale | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The relationship between the Fahrenheit scale $(F)$ and the Kelvin scale $(K)$ is given by the formula: $\frac{F - 32}{9} = \frac{K - 273.15}{5}$.

Vedclass · Accepted Answer

$574.25$

Vedclass · Answer

(C) The relationship between the Fahrenheit scale $(F)$ and the Kelvin scale $(K)$ is given by the formula: $\frac{F - 32}{9} = \frac{K - 273.15}{5}$.Given that the numerical value is the same on both scales,we set $F = x$ and $K = x$.Substituting these into the equation: $\frac{x - 32}{9} = \frac{x - 273.15}{5}$.Cross-multiplying gives: $5(x - 32) = 9(x - 273.15)$.$5x - 160 = 9x - 2458.35$.Rearranging the terms: $9x - 5x = 2458.35 - 160$.$4x = 2298.35$.$x = \frac{2298.35}{4} = 574.5875$.Rounding to the nearest provided option,we get $x = 574.25$ (using $273$ as the conversion constant).Using $K = 273$: $\frac{x - 32}{9} = \frac{x - 273}{5} \implies 5x - 160 = 9x - 2457 \implies 4x = 2297 \implies x = 574.25$.

The temperature of a body on the Kelvin scale is found to be $x \ K$. When it is measured by a Fahrenheit thermometer,it is found to be $x \ ^\circ F$. The value of $x$ is:

Similar Questions

The network shown in the figure is a part of a complete circuit. If at a certain instant the current $i$ is $5 \ A$ and is decreasing at the rate of $10^3 \ A/s$,then $V_A - V_B$ is ..... $V$.

$A$ coil of wire of radius $r$ has $600$ turns and a self-inductance of $108 \ mH$. The self-inductance of a coil with the same radius and $500$ turns is (in $mH$)

The maximum tension a rope can withstand is $60 ~kg-wt$. The ratio of maximum acceleration with which two boys of masses $20 ~kg$ and $30 ~kg$ can climb up the rope at the same time is

The displacement-time graph for two particles $A$ and $B$ are straight lines inclined at angles of $30^o$ and $60^o$ with the time axis. The ratio of velocities of $V_A : V_B$ is

If the angles made by a straight line with the coordinate axes are $\alpha, \frac{\pi}{2}-\alpha, \beta$,then $\beta$ is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module