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Physics-

General

Easy

Question

The following data were obtained when a wire was stretched within the elastic region Force applied to wire 100 N
Area of cross-section of wire $10 to the power of negative 6 end exponent m to the power of 2 end exponent$
Extensional of wire $2 cross times 10 to the power of negative 9 end exponent m$
Which of the following deductions can be correctly made from this data?
I. The value of Young’s Modulus is $10 to the power of 11 end exponent N blank m to the power of negative 2 end exponent$
II. The strain is $10 to the power of negative 3 end exponent$
III. The energy stored in the wire when the load is applied is 10 J

1, 2, 3 are correct
1, 2 correct
1 only
3 only

The correct answer is: 1, 2 correct

Stress = $fraction numerator 100 N over denominator 10 to the power of negative 6 end exponent m to the power of 2 end exponent end fraction equals 10 to the power of 8 end exponent blank N m to the power of negative 2 end exponent$
Strain $equals blank fraction numerator 2 cross times 10 to the power of negative 3 end exponent over denominator 2 end fraction equals 10 to the power of negative 3 end exponent$
Young modulus
= $fraction numerator 10 to the power of 8 end exponent over denominator 10 to the power of negative 3 end exponent end fraction blank N m to the power of negative 2 end exponent equals 10 to the power of 11 end exponent blank N m to the power of negative 2 end exponent$
Energy stored = $fraction numerator 1 over denominator 2 end fraction cross times 100 blank cross times 2 cross times 10 to the power of negative 3 end exponent blank J$
= 10 $minus$ 1H = 0.1J

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