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A uniform cube is subjected to volume compression. If each side is decreased by 1% Then what is bulk strain ?
If side of the cube is L then V =$ L^ 2$ $$ \Rightarrow { dv \over v } = { 3dL \over L } $$ $ \% change in voulume = 3 \times (\% change in length) = 3 \times 1\% = 3\% $ $ \therefoe Bulk modulus = { \triangle v \over v } = 0.03 $
The ratio of two specific heats of gas $ { C_p \over C_v } $ for Argon is 1.6 and for hydrogen is 1.4. Adiabatic elasticity of Argon at pressure p is E. Adiabatic elasticity of hydrogen will also be equal to E at the pressure.
$ Adiabatic elasticity \varepsilon = vp $ $ For Argon EA_r = 1.6 p$ $For hydrogon EH_2 = 1.4 pl$ As elasticityof hydrogen & Argon are equal $ \therefore 1.6 P = 1.4 Pl $ $ \therefore P' = 8/7 P $
What is the isothermal bulk modulus of a gas at atmospheric pressure ?
Isothermal elasticity P = Ki = 1 atm = 1.013 = $ 1.013 \times 10^5 N/m^2 $
The bulk modulus of an ideal gas at constant temperature.........
Isothermal bulk modulus = pressure of gas
A material has poisson's ratio 0.50. If uniform rod of it suffers a longitudinal strain of $ 2 \times 10 ^ {-3} $ Then what is percentage change in volume ?
$$ {dv \over v } = ( 1 + 2 \sigma) {dL \over L } $$ $\therefore {dv \over v } = 2 \times 2 \times 10^{-3} = 4 \times 10 ^ {-3} $ $ [ 6 = 0.5 { 1 \over 2 } ] $
There is no change in the volume of a wire due to change in its length on stretching. What is the possion's ratio of the material of the wire....
we know that $ {dv \over v } = (1 - 2 \sigma) { dL \over L } $ $ if \sigma = {1 \over 2 } then { dv \over v } = 0 $ i.e. there is no change in volume
Which statement is true for a metal......
$ Y = 2N ( 1 + \sigma) $
Which of the following relation is true
$ Y = 2n ( 1 + \sigma) \Rightarrow \sigma = { 0.5 y - n \over n } $
Two wires A& B of same lengt hand of the same material have the respective radius r, & $r_2$ their one end is fixed with a rigid support and at the other end equal twisting couple is applied. Then what will we be the ratio of the angle of twist at the end of Aand the angle of twist at the end of B
Twisting couple C = $ { \pi n r^4 \over 2l } \theta $ If material and length of the wires Aand B equal twisting coulple are applied then $ \theta \alpha {1 \over r^4 } $ $ \therefore { \theta_1 \over \theta_2 } = \left( {r_2 \over r_1} \right)^4 $
The poisson's ratio can not have the value
Value of possion's ratio die in range of 1 to 1/2.
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The bank mixes NEET previous year questions (PYQs) with practice questions, each tagged with its exam appearances where applicable.