## Question

If the length of a cylinder on heating increases by 2%, the area of its base will increase by:

### Solution

4%

If length increases by 2% on heating, radius will also increase by 2%.

As base area ∝ (radius)^{2}, so it will increase by **4%**.

#### SIMILAR QUESTIONS

250 gm of water and equal volume of alcohol of mass 200 gm are replaced successively in the same calorimeter and cool from 60^{o}C to 55^{o}C in 130 seconds and 67 seconds respectively. If the water equivalent of the calorimeter is 10 gm, then the specific heat of alcohol in cal/gm-^{o}C is:

The sprinkling of water reduce the temperature of a closed room because:

Two bars of copper having same length but unequal diameter are heated to the same temperature. The change in length will be:

The beaker is completely filled with water at 4^{o}C. It will overflow:

When a metal rod is heated it expands because:

Expansion during heating:

Two rods of lengths *L*_{1} and *L*_{2} are made of materials whose coefficients of linear expansion are α_{1} and α_{2}. If the difference between the two lengths is independent of temperature:

When a strip made of iron (α_{1}) and copper (α_{2} > α_{1}) is heated:

An iron tyre is to be fitted onto a wooden wheel 1.0 m in diameter. The diameter of thetyre is 6 mm smaller than that of wheel. The tyre should be heated so that its temperature increases by a minimum of (coefficient of volume expansion of iron is 3.6× 10^{–5}/^{o}C):

When a copper ball is heated, the largest percentage increase will occur in its: