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2022

Physics

POST UTME

A current of 2A passes through a heater of resistance 3ohms for 4 minutes to melt a certain mass of ice at 0°C, Calculate the mass of the ice. [specific latent heat of fusion of ice = 336Jg1g^{-1} ].

A.

12.86g

B.

8.57g

C.

4.29g

D.

0.148g

Correct Answer:

8.57g

Explanation

B:

given: A1 = 1.2×103^3 cm2^2 , 40 = 40 - 0 °C = 40 °C

using β\beta = 2α\alpha = A2A1A1δθ\frac { A _2  - A _1}{A_1 \delta\theta} 1_1

A2_2 - A1_1 =δ\delta A = 2α\alpha A1_1 δ\delta θ\theta

= 2x1.2×105^{-}{5} x1.2×103×40

δ\delta A=115.2×102^{-}{2}

= 1.15 cm2^2

B:

given: A1 = 1.2×103^3 cm2^2 , 40 = 40 - 0 °C = 40 °C

using β\beta = 2α\alpha = A2A1A1δθ\frac { A _2  - A _1}{A_1 \delta\theta} 1_1

A2_2 - A1_1 =δ\delta A = 2α\alpha A1_1 δ\delta θ\theta

= 2x1.2×105^{-}{5} x1.2×103×40

δ\delta A=115.2×102^{-}{2}

= 1.15 cm2^2

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