The coefficient of linear expansion of a...

The coefficient of linear expansion of a rod of length 1 m, at `27^@C`, is varying with temperature as `alpha` = 2/T unit `(300 K le T le 600 K)`, where T is the temperature of rod in Kelvin. The increment in the length of rod if its temperature increases from `27^@C` to `327^@C` is

0.3 m

3 m

0.4 m

4 m

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PHYSICS PART2
FIITJEE|Exercise MCQ|21 Videos
PHYSICS PART2
FIITJEE|Exercise Assertion-Reasoning MCQ|12 Videos
PHYSICS PART2
FIITJEE|Exercise Section (I) : Subjective|4 Videos
PHYSICS PART-III
FIITJEE|Exercise NUMERICAL BASED QUESTIONS DECIMAL TYPE|11 Videos
ROTATIONAL MECHANICS
FIITJEE|Exercise COMPREHENSION - IV|2 Videos

Similar Questions

Explore conceptually related problems

The coefficient of linear expansion of a rod is alpha and its length is L. The increase in temperature required to increase its legnth by 1% is

The coefficient of linear expansion 'alpha ' of the material of a rod of length l_(0) varies with absolute temperature as alpha = aT -bT^(2) where a & b are constant. The linear expansion of the rod when heated from T_(1) to T_(2) = 2T_(1) is :-

To increase the length of brass rod by 2% its temperature should increase by (alpha = 0.00002 "^(@)C^(-1))

The coefficient of linear expansion of iron is 0.000011.^(@)C . An iron ro is 10 metre long at 27^(@)c . The length of the rod will be decreased by 1.1 mm when the temperature of the rod changes to

Assume that the coefficient of linear expansion of the material of a rod remains constant, equal to alpha^(@)C^(-1) for a fairly large range of temperature. Length of the rod is L_0 at temperature theta_(0) . (a) Find the length of the rod at a high temperature theta . (b) Approximate the answer obtained in (a) to show that the length of the rod for small changes in temperature is given by L = L_0 [1 + alpha (delta- delta_(0))]

What is the percentage change in length of 1m iron rod it its temperature changes by 100^(@)C. alpha for iron is 2 xx 10^(-5)//"^(@)C .

A rod of length l and coefficient of linear expansion alpha . Find increase in length when temperature changes from T to T+ DeltaT

The co-efficient of thermal expansion of a rod is temperature dependent and is given by the formula alpha = aT , where a is a positive constant at T "in"^(@)C . if the length of the rod is l at temperature 0^(@)C , then the temperature at which the length will be 2l is

FIITJEE-PHYSICS PART2-Section (II) : MCQ

An experiment is performed to calculate the value of an unknown resist...
Text Solution
|
An ideal gas can be expanded from an initial state to a certain volume...
Text Solution
|
The coefficient of linear expansion of a rod of length 1 m, at 27^@C, ...
Text Solution
|
Which of the following pair of electric and magnetic fields represents...
Text Solution
|
Separation between the plates of a parallel plate capacitor, connected...
Text Solution
|
Charge is distributed uniformly in some space. The net flux passing th...
Text Solution
|
The sun having surface temperature Ts radiates like a black body. The ...
Text Solution
|
The plane wall of an oven is of thickness L = 0.05 m and is exposed to...
Text Solution
|
The electric field is a region (relative permittivity = 1) varies with...
Text Solution
|
Two spherical black bodies A and B are emitting radiations at same rat...
Text Solution
|
Two positive point charges of magnitude Q each are separated by a dist...
Text Solution
|
A space charge of density rho is uniformly distributed in an infinitel...
Text Solution
|
Water in a lake starts freezing if temperature of surrounding is -20^@...
Text Solution
|
For certain process the molar heat capacity of an ideal gas is found t...
Text Solution
|
A current carrying circular loop of radius 50 mm, made of a very thin ...
Text Solution
|
A power radiated by a black body is P0. and the wavelength correspondi...
Text Solution
|
A metallic spherical shell of radius r1 is surrounded by another conce...
Text Solution
|
A capacitor is connected across an inductor. At time t = 0 charge on t...
Text Solution
|
Ice starts forming in a lake with water at 0^@C when the atmospheric t...
Text Solution
|
Two samples A and B of a gas are initially at the same temperature and...
Text Solution
|