Question

Radius of a wire is 2.50 mm. The length of the wire is 50.0 cm. If mass of wire was measured as 25g, then find the density of wire in correct significant figures. [Given, pi = 3.14, exact]

Answer 1

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Answer 2

Given - Radius of wire - 2.50 mm. Length of the wire is 50.0 cm. Mass of wire is 25g.

Value of pi - 3.14

Find - Density of wire

Answer -

To find density of wire, the formula used is - rho = m/v, where rho denotes density, m denotes mass and v debtors volume.

Volume can be expressed as product of area and length. Hence, formula -

V = A*L

Where a is area and l is length.

Area can further be calculated as πr² where r is radius.

Now, rho = m/πr²l

Radius of wire in cm will be 0.25.

Keeping the values in equation,

rho = 25/3.14*0.25²*50

Rho = 2.5 g/cm³

Hence, density of wire is 2.5 g/cm³.