An iron rod measuring 50 cm is connected at one end to an aluminum rod measuring 100 cm, both at a temperature of 20°C. Calculate the total length of…

Question

An iron rod measuring 50 cm is connected at one end to an aluminum rod measuring 100 cm, both at a temperature of 20°C. Calculate the total length of the composite system when heated to 100°C and find its average coefficient of linear expansion. The coefficients of linear expansion for iron and aluminum are 12 × 10⁻⁶ K⁻¹ and 24 × 10⁻⁶ K⁻¹ respectively.

Answer 1

An iron rod measuring 50 cm is connected at one end to an aluminum rod measuring 100 cm, both at a temperature of 20°C. Calculate the total length of the composite system when heated to 100°C and find its average coefficient of linear expansion. The coefficients of linear expansion for iron and aluminum are 12 × 10⁻⁶ K⁻¹ and 24 × 10⁻⁶ K⁻¹ respectively.

150.24 cm, 20 × 10⁻⁵ K⁻¹
150.24 cm, 20 × 10⁻⁶ K⁻¹ ✓
150.32 cm, 18 × 10⁻⁶ K⁻¹
150.32 cm, 18 × 10⁻⁵ K⁻¹

Explanation

Islamic finance prohibits riba (interest), gharar (excessive uncertainty), and haram activities (alcohol, gambling). Money should be earned through productive activity, not mere lending.

Alternatives: Murabaha (cost-plus sale – bank buys item, sells to customer at markup), Ijara (leasing), Musharaka (partnership – share profits and losses), Mudaraba (profit-sharing investment).

Sukuk are Islamic bonds – ownership share in assets rather than debt. Islamic banking is growing globally. Nigerian banks offer Islamic windows. These products enable finance consistent with religious values.

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