What wil be the new area of 400cm square of a solid,if its temperature is raised by 10k.(L.E=19times 10raised to power 2

To find the new area of a solid when its temperature is raised, we need to consider the linear expansion coefficient (L.E) and the original area.

Given:
Original area (A) = 400 cm²
Linear expansion coefficient (L.E) = 19 × 10²

Let's calculate the change in area (ΔA) first:
ΔA = L.E * A * ΔT, where ΔT is the change in temperature.

Given:
ΔT = 10 K (Kelvin)

Substituting the values:
ΔA = (19 × 10²) * (400 cm²) * (10 K)

Calculating:
ΔA = 760,000 cm² K

To find the new area (A'), we add the change in area (ΔA) to the original area (A):
A' = A + ΔA

Substituting the values:
A' = 400 cm² + 760,000 cm² K

Simplifying:
A' = 760,400 cm²

Therefore, the new area of the solid, when its temperature is raised by 10 K, will be 760,400 cm².

To determine the new area of a solid when its temperature is raised, we need to use the linear expansion equation:

ΔA = α * A * ΔT

Where:
ΔA is the change in area
α is the coefficient of linear expansion
A is the initial area
ΔT is the change in temperature

Given:
Initial area (A) = 400 cm^2
Change in temperature (ΔT) = 10 K
Coefficient of linear expansion (α) = 19 * 10^(-2)

Now, let's substitute the given values into the equation and solve for ΔA:

ΔA = (19 * 10^(-2)) * (400 cm^2) * (10 K)

First, let's simplify the unit of area to simplify the calculation. Since 1 cm^2 is equivalent to 10^(-4) m^2:

A = 400 cm^2 * (10^(-4) m^2/1 cm^2)
A = 40 m^2

Now, let's substitute the simplified values:

ΔA = (19 * 10^(-2)) * (40 m^2) * (10 K)

Calculating:

ΔA = (19 * 10^(-2)) * (40 m^2) * (10 K)
ΔA = 7.6 m^2 * 10 K
ΔA = 76 m^3 * K

Thus, the change in area (ΔA) is 76 m^3 * K.

To find the new area, we add this change to the initial area:

New area = Initial area + ΔA
New area = 400 cm^2 + 76 m^3 * K

Note: Please ensure that the units are consistent throughout the calculation. In this case, the initial area is given in cm^2, and the final unit is m^2.