QJEEM14Ph2ce6: JEE Main 2014 Physics - Class 11 JEEM14Ph2ce6 Solution: The pressure that has to be applied to the ends of a steel wire …

Question

Verified Solution • 2025–26 Session moderate

The pressure that has to be applied to the ends of a steel wire of length

10

c m

to keep its length constant when its temperature is raised by

100^{\circ} C

is: (For steel Young's modulus is

2 \times 10^{11} N m^{- 2}

and coefficient of thermal expansion is

1.1 \times 10^{- 5} K^{- 1}

)

Accepted Answer

Young's modulus

Y = \frac{s t r e s s}{s t r a i n}

s t r e s s = Y \times s t r a i n

S t r e s s

in steel wire

=

Applied

p r e s s u r e

P r e s s u r e

=

s t r e s s

=

Y \times s t r a i n

S t r a i n = \frac{Δ L}{L} = α Δ T

(As length is constant)

= 2 \times 10^{11} \times 1.1 \times 10^{- 5} \times 100

= 2.2 \times 10^{8} P a

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