A metal rod of length 2 m has cross sect...

A metal rod of length 2 m has cross sectional areas 2 A and A as shown in figure. The ends are maintained at temperatures 100° C and 70° C . The temperature at middle point C is

`80^@` C

`85^@` C

`90^@` C

`95^@` C

Text Solution

Verified by Experts

The correct Answer is:

`K(2A)(100-theta)=KA(theta-0)`
` implies 200 - 2theta= theta-70 implies theta=90^@C`.

Topper's Solved these Questions

TRANSMISSION OF HEAT
ERRORLESS|Exercise NCERT BASED QUESTIONS (Convection)|4 Videos
TRANSMISSION OF HEAT
ERRORLESS|Exercise NCERT BASED QUESTIONS (Radiation (General,Kirchhoff.s law,Black body))|14 Videos
THERMOMETRY, THERMAL EXPANSION AND CALORIMETRY
ERRORLESS|Exercise ASSERTION & REASON|10 Videos
UNITS, DIMENSIONS AND MEASUREMENT
ERRORLESS|Exercise ASSERTION & REASON |17 Videos

Similar Questions

Explore conceptually related problems

Five identical rods are joined as shown in figure. Point A and C are maintained at temperature 120° C and 20° C respectively. The temperature of junction B will be

Six identical cunducting rods are joined as shown in Fig. Points A and D are maintained at temperatures 200^@C and 20^@C respectively. The temperature of junction B will be

Two rods (one semi-circular and other straight) of same material and of same cross-sectional area are joined as shown in the figure. The point A and B are maintained at different temperature. Find the ratio of the heat transferred through a cross-section of a semi-circular rod to the heat transferred through a cross section of the straight rod in a given time.

Two identical conducting rods AB and CD are connected to a circular conducting ring at two diametrically opposite points B and C, the radius of the ring is equal to the length of rods AB and CD. The area of cross-section, thermal conductivity of the rod and ring are equal. points A and D are maintained at temperatures of 100^(@)C and 0^(@)C . temperature at poimt C will be

Two rods of different materials having differnet lengths and same cross sectional areas are joined end to end in a straight line. The free ends of this compound rod are maintained at different temperatures The temperature gradient in each rod will be .

Three rods of identical cross-sectional area and made from the same metal form the sides of an isosceles triangle ABC right angled at B as shown in the figure. The points A and B are maintained at temperature T and (sqrt2)T respectively in the steady state. Assuming that only heat conduction takes place, temperature of point C will be

Two rods of same length and same material having area of cross section A and 4A respectively are joined as shown in the figure. If T_(A) and T_(B) are temperatures of free ends in steady state. The temperature of junction point C is (Assume no heat loss wil take place through lateral surface)

Three rods are made from the same material and having the same cross-sectional area and length have been joined as shown in the figure. The left end and right end are kept 0^@C and 100^@C , respectively . The temperature of the junction of three rods will be

Three rods AB,BC and BD made of the same materical and having the same area of cross section have been joined as shown is the The ends A,C and D are held at temperatures 20^(@)C Cand 80^(@)C respectively If each rod is of same length then find the temperature at the junction B of the three rods .

In the figure ABC is a conducting rod whose lateral surfaces are insulated. The length of the section AB is one-half of that of BC, and the respective thermal conductivities of the two sections are as given in the figure. If the ends A and C are maintained at 0^(@)C and 70^(@)C respectively, the temperature of junction B in the steady state is

ERRORLESS-TRANSMISSION OF HEAT -Assertion & Reason

A metal rod of length 2 m has cross sectional areas 2 A and A as shown...
Text Solution
|
Assertion : A body that is a good radiator is also a good absorber of ...
Text Solution
|
Assertion : For higher temperature, the peak emission wavelength of a ...
Text Solution
|
Assertion : Temperature near the sea-coast are moderate. Reason : Wa...
Text Solution
|
Assertion : It is hotter over the top of a fire than at the same dista...
Text Solution
|
Assertion : Bodies radiate heat at all temperatures. Reason : Ra...
Text Solution
|
Assertion : Woollen clothes keep the body warm in winter Reason : Ai...
Text Solution
|
Assertion : The equivalent thermal conductivity of two plates of same ...
Text Solution
|
Assertion : A hollow metallic closed container maintained at a uniform...
Text Solution
|
Assertion : If the temperature of a star is doubled then the rate loss...
Text Solution
|
Assertion : The radiation from the sun’s surface varies as the fourth ...
Text Solution
|
Assertion : Blue star is at high temperature than red star. Reason :...
Text Solution
|
Assertion : While measuring the thermal conductivity of liquid experim...
Text Solution
|
Assertion : A brass tumbler feels much colder than a wooden tray on a ...
Text Solution
|
Assertion: Like light radiation, thermal radiations are also electroma...
Text Solution
|
Assertion : Snow is better insulator than ice. Reason : Snow con...
Text Solution
|
Assertion : Perspiration from human body helps in cooling the body. ...
Text Solution
|
Assertion : The absorbance of a perfect black body is unity. Reas...
Text Solution
|
Assertion : A man would feel iron or wooden balls equally hot at 98.4°...
Text Solution
|
Assertion : Animals curl into a ball, when they feel very cold. Re...
Text Solution
|
Assertion : All black coloured objects are considered black bodies. ...
Text Solution
|