Home
Class 11
PHYSICS
A heater of resistance R maintains a roo...

A heater of resistance R maintains a room at `T_0 ""^@C` and is connected to a mains supply of V volt. The heat is transmitted through a glass window of area A and thickness d. If the thermal conductivity of the glass is K, find the expression for the outside temperature.

Text Solution

AI Generated Solution

To solve the problem, we need to find the expression for the outside temperature \( T \) given the parameters of the heater and the glass window. Let's break down the solution step by step. ### Step 1: Determine the Power of the Heater The power \( P \) generated by the heater can be calculated using the formula for electrical power: \[ P = \frac{V^2}{R} \] where \( V \) is the voltage of the mains supply and \( R \) is the resistance of the heater. ...
Promotional Banner

Topper's Solved these Questions

  • THERMAL PROPERTIES OF MATTER

    MODERN PUBLICATION|Exercise REVISION EXERCISE (VERY SHORT ANSWER QUESTION)|33 Videos

  • THERMAL PROPERTIES OF MATTER

    MODERN PUBLICATION|Exercise REVISION EXERCISE (ADDITIONAL QUESTION)|3 Videos

  • THERMAL PROPERTIES OF MATTER

    MODERN PUBLICATION|Exercise NCERT FILE (TEXTBOOK EXERCISE)|25 Videos

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    MODERN PUBLICATION|Exercise Chapter Practice Test (for Board Examination)|16 Videos

  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos

Similar Questions

Explore conceptually related problems

A heater of resistance 20 Omega is used to heat a room at 10^@C and is connected to 220 V mains. The temperature is uniform inside the room and heat is transmitted outside the room through a glass window of area 1.2 m^2 and thickness 0.1 cm. If T^@C is the temperature outside and thermal conductivity of glass is 0.2 cal s^(-1) m^(-1) ""^@C^(-1) , then find the value of 10T - 75 close to nearest integer.

A room at 20^@C is heated by a heater of resistence 20 ohm connected to 200 VV mains. The temperature is uniform throughout the room and the heati s transmitted through a glass window of area 1m^2 and thickness 0.2 cm. Calculate the temperature outside. Thermal conductivity of glass is 0.2 cal//mC^@ s and mechanical equivalent of heat is 4.2 J//cal .

A room is to be maintained at a constant temperature of 30^@C and is heated by a heater of resistance 10 Omega connected to 210 V mains supply. Heat is transmitted outside through a window of thickness 0.3 cm and area 2 m^2 What will be temperature outside the window? Thermal conductivity of glass = 0.3 cal s^(-1) m^(-1) ""^@C^(-1)

Steam at 373 K is passed through a tube of radius 10 cm and length 10 cm and length 2m . The thickness of the tube is 5mm and thermal conductivity of the material is 390 W m^(-1) K^(-1) , calculate the heat lost per second. The outside temperature is 0^(@)C .

A heat source at T = 10^(3) K is connected to another heat reservoir at T = 10^(2) K by a copper slab which is 1 m thick. Given that the thermal conductivity of copper is 0.1 WK^(-1)m^(-1) , the energy flux through it in steady state is :

Two rods A and B of same length and cross-sectional area are connected in series and a temperature difference of 100^@C is maintained across the combination as shoen in Fig. If the thermal conductivity of the rod A is 3 k and that of rod B is k, Then i.Determine the thermal resistance of each rod. ii. determine the heat current flowing through each rod. iii. determine the heat current flowing through each rod. iv. plot the variation of temperature along the length of the rod.

A solid body X of heat capacity C is kept in an atmosphere whose temperature is T_A=300K . At time t=0 the temperature of X is T_0=400K . It cools according to Newton's law of cooling. At time t_1 , its temperature is found to be 350K. At this time (t_1) , the body X is connected to a large box Y at atmospheric temperature is T_4 , through a conducting rod of length L, cross-sectional area A and thermal conductivity K. The heat capacity Y is so large that any variation in its temperature may be neglected. The cross-sectional area A of hte connecting rod is small compared to the surface area of X. Find the temperature of X at time t=3t_1.

A heating element has a resistance of 100 Omega at room temperature. When it is connected to a supply of 220 V, a steady current of 2A passes in it and temperature is 500^(@)C more than room temperature. What is the temperature coefficient of resistance of the heating element ?