A FORCE OF 200N IS APPLIED TO A PISTON OF CROSS-SECTIONAL AREA 2 CM TO THE POWER OF 2 .WHAT IS THE PRESSURE IN N/CM TO THE POWER OF 2 AND IN PA
Answers
Explanation:
PROBLEM 07 – 0873: A force of 200 N is applied at one end of a wire of length 2 m
and having area of cross-section 10–2 cm2, the other end of
the wire is rigidly fixed. If of linear expansion of the wire
α = 8 × 10–6 / °C and young's modulus Y = 2.2 × 1011(N / m2)
and its temperature is increased by 5°C then the increase in
the tension of the wire will be...........
(A) 4.2 N (B) 4.4 N (C) 2.4 N (D) 8.8 N
Solution: Answer (D) 8.8 N
Force i.e. Tension in the wire = [{YAℓ} / L] = [(YAαLθ) / L] = YAαθ
where Y = Young's modulus
A = area
α = coefficient of linear expansion
θ = Increase in temperature
∴ Tension = 2.2 × 1011 × 10–2 × 10–4 × 8 × 10–6 × 5
= 8.8 N