An iron bar of length 10 m is heated from $0^{\circ}$ C to $100^{\circ}$ C. If the coefficient of linear thermal expansion of iron is $10 \times 10^{- 6} /^{\circ}$ C, the increase in the length of bar is

1 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2.0 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1.5 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0.5 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 1 cm
We know that the increase in length due to heating is given as

$Δ L = L_{0} α Δ T$

$Δ L = 10 \times 10 \times 10^{- 6} \times (100 - 0)$
$Δ L = 10^{- 2}$ m = 1 cm

Suggest Corrections

Similar questions

An iron bar of length 10 m is heated from $0^{0} C to 100^{0} C$ . If the coefficient of linear thermal expansion of iron is $10 \times 1 0^{- 6} /^{0} C$ the increases in the length of the bar is

Q. A metallic bar of coefficient of linear expansion

10^{- 5} K^{- 1}

is heated from

0^{\circ} C

100^{\circ} C

. The percentage increase in its length is

Q. A metallic bar is heated from

0^{\circ}

C to

100^{\circ}

C; The coefficient of linear expansion is

10^{- 5} K^{- 1}

. What will be the percentage increase in length?

The coefficient of linear expansion of iron is $10^{- 5} / {}^{\circ}C$ . The volume of an iron cube, $5 c m$ on edge will increase by what amount if it is heated from $10 ° C$ to $60 ° C$ ?

Q. . The coefficient of linear expansion of iron is 10–5 per 0 C. The volume of an iron cube, 5cm on edge will increase by what amount if it is heated from 10 0 C to 6 o C

Join BYJU'S Learning Program

An iron bar of length 10 m is heated from 0∘C to 100∘C. If the coefficient of linear thermal expansion of iron is 10×10−6/∘C, the increase in the length of bar is

The correct option is A 1 cmWe know that the increase in length due to heating is given as ΔL=L0αΔT ΔL=10×10×10−6×(100−0) ΔL=10−2 m = 1 cm

An iron bar of length 10 m is heated from $0^{\circ}$ C to $100^{\circ}$ C. If the coefficient of linear thermal expansion of iron is $10 \times 10^{- 6} /^{\circ}$ C, the increase in the length of bar is

The correct option is A 1 cm
We know that the increase in length due to heating is given as

$Δ L = L_{0} α Δ T$

$Δ L = 10 \times 10 \times 10^{- 6} \times (100 - 0)$
$Δ L = 10^{- 2}$ m = 1 cm