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Standard IX

Physics

Acceleration

A thin copper...

Question

A thin copper wire of length $L$ increase in length by $1 %$ when heated from temperature $T_{1}$ to $T_{2}$ . What is the percentage change in area when a thin copper plate having dimensions $2 L \times L$ is heated from $T_{1}$ to $T_{2}$ ?

1 %

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2 %

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3 %

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4 %

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Solution

The correct option is B $2 %$
Since, $A r e a e x p a n s i o n = 2 \times l i n e a r e x p a n s i o n$
Therefore surface area will increase by 2 %
Option (B) is correct

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Similar questions

A thin copper wire of length $l$ increases its length by 1% when heated from temperature $T_{1}$ to $T_{2}$ . What is the percentage change in area when a thin copper plate having dimensions $2 l \times l$ is heated from $T_{1}$ to $T_{2}$ ?

Q. A thin copper wire length L increases its length by 1% heated from temperature

T_{1}

and

T_{2}

What is the percentage change in area when a thin copper plate having dimension 2Lx L is heated from

T_{1}

T_{2}

Q. A thin copper wire of length L increases in length by 1% when heated from

0^{0}

C to

100^{0}

C. If then a copper plate of area 2L × L is heated from

0^{0}

C to

100^{0}

C, the percentage increase in its area will be

Q. (A): the linear expansion of metal wire is

1

% when it is heated from

T_{1}

T_{2}

(in

^{o} C

). id a thin plat of same metal of dimension

2 L \times L

was heated from

T_{1}

T_{2}

, then the areal expansion is

3

(B): the percentage of areal expansion

= 2 \times

% linear expansion. The % expansion are independent of original dimensions.

Q. A thin copper wire of length

l metre

increases in length by

2 %

when heated through

10^{\circ} C .

What is the percentage increase in area , when a square copper sheet of length

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is heated through

10^{\circ} C

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A thin copper wire of length L increase in length by 1% when heated from temperature T1 to T2. What is the percentage change in area when a thin copper plate having dimensions 2L×L is heated from T1 to T2?

The correct option is B 2%Since, Area expansion=2×linear expansionTherefore surface area will increase by 2 %Option (B) is correct

A thin copper wire of length $L$ increase in length by $1 %$ when heated from temperature $T_{1}$ to $T_{2}$ . What is the percentage change in area when a thin copper plate having dimensions $2 L \times L$ is heated from $T_{1}$ to $T_{2}$ ?

The correct option is B $2 %$
Since, $A r e a e x p a n s i o n = 2 \times l i n e a r e x p a n s i o n$
Therefore surface area will increase by 2 %
Option (B) is correct