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A wire of length 50 cm and cross - sectional area of 1 mm2 is extended by $1mm^2 $ what will be the required work ? $ ( Y = 2 \times 10 ^{11} Nm^{-2} $
$ w = { YAl^2 \over 2 L } $
If a spring extends by x cm loading then what is the energy stored by the spring ? (If T is tensionin the spring & K is spring constant)
$ U = {F^2 \over 2K } = { T^2 \over 2K } $
k is the force constant of a spring what will be the work done in increasing its extension form $l_1 to l_2$ be ?
At extension $l_1$ the stored energy = $ {1 \over 2 } kl_1^2 $ $ \therefore$ At extension $ l_2 $ the stored energy = ${1 \over 2} kl_1^2 $ Work done in increasing its extension from $l_1 to l_2 $ =$ {1 \over 2} k ( l_2 ^2 - l_1 ^2 ) $
When a 4 kg mass is hung vertically on a light spring that obeys Hook's law, the spring stretches by 2 cm what will be the work required to be done by an external agent in stretching this spring by 5 cm ?
K = F/X
The isothermal elasticity of a gas is equal to....................
Isothermal elasticity ki = p
If the volume of a block of aluminium is decreased, bythe pressure (stress) on its surface is increased by.................$ (Bulk modulus of A l = 7.5 \times 10 ^ {10 } Nm^{-2} )$
$ B = { -PV \over \triangle Y } \Rightarrow P = - { \triangle V \times B \over V } $ $ given { -\triangle V \over V } = 1\% = {1 \over 100} $ $ P = { 1.5 \times 10^{10} \over 100 } = 1.5 \times 10^8 N/m^2 $
To what depth below the surface of sea should a rubber ball be taken as to decrease its volume by 0.1% $( Take : density of sea water = 1000 kg /m^3 , bulk modulus of rubber = 9 \times 10^8 N/m^2 , acceleration due to gravity = 10 m/s^2 ) $
$ k = { P \over { -\triangle v \over v } } $
The compressibility of water $4 \times 10 ^{-5} $ per unit atmospheric pressure. The decrease in volume of 100 cubic centimeter of water under a pressure of 100 atmosphere will be................
$ C = { \triangle v \over v } \triangle P = 0.4 CC $
If a rubber ball is taken at the depth of 200min a pool, Its volume decreases by 0.1% . If the density of the water is $ 1 \times 10 ^ 3 kg /m^3 and g = 10 m/s^2 $ . Then waht will be the volume elasticity in $ N /m^2 $ ?
$ k = { \triangle P \over { \triangle v \over v } } = { hsg \over { \triangle v \over v} } $
The pressure applied from all directions on a cube is p. How much its temperature should be raised to maintain the original volume ? The volume elasticity of the cube is B and the coefficient of volume expansion is $ \alpha $
If the coefficient of volume expansion and raise in temprature is $ \triangle \theta $ then $ \triangle v = v \alpha \triangle \theta $ $ \Rightarrow { \triangle v \over v } = \alpha \triangle \theta $ volume elasticity $ \beta = { P \over { \triangle v \over v }} = { P \over \alpha \triangle \theta } $
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The bank mixes NEET previous year questions (PYQs) with practice questions, each tagged with its exam appearances where applicable.