The unit of "impulse per unit area" is the sa | vedclass

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(A) The dimension of impulse is $J = F 	imes \Delta t = [MLT^{-2}] 	imes [T] = [MLT^{-1}]$.Therefore,the dimension of "impulse per unit area" is $\f

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Viscosity

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(A) The dimension of impulse is $J = F 	imes \Delta t = [MLT^{-2}] 	imes [T] = [MLT^{-1}]$.Therefore,the dimension of "impulse per unit area" is $\frac{[MLT^{-1}]}{[L^2]} = [ML^{-1}T^{-1}]$.Now,let us check the dimensions of the given options:$A$. Viscosity (Coefficient of viscosity $\eta$): The force $F = \eta A \frac{dv}{dx}$,so $\eta = \frac{F}{A (dv/dx)} = \frac{[MLT^{-2}]}{[L^2] [LT^{-1}/L]} = [ML^{-1}T^{-1}]$.$B$. Surface tension: $[MT^{-2}]$.$C$. Bulk modulus: $[ML^{-1}T^{-2}]$.$D$. Force: $[MLT^{-2}]$.Thus,the unit of "impulse per unit area" is the same as that of viscosity.

Column-$I$	Column-$II$
$(a)$ Ratio of change in time period of a simple pendulum with temperature to its original time period	$(i) \, \alpha \Delta T$
$(b)$ Ratio of the value of a length to its scale reading	$(ii) \, T$
$(c)$ Reciprocal of coefficient of volume expansion for an ideal gas of constant pressure	$(iii) \, (1 + \alpha \Delta T)$
$(d) \, \frac{F}{YA} =$	$(iv) \, \frac{1}{2} \alpha \Delta T$

List-$I$	List-$II$
$(A)$ Young's Modulus	$(I)$ $[ML^{-1}T^{-1}]$
$(B)$ Torque	$(II)$ $[ML^{-1}T^{-2}]$
$(C)$ Coefficient of Viscosity	$(III)$ $[M^{-1}L^3T^{-2}]$
$(D)$ Gravitational Constant	$(IV)$ $[ML^2T^{-2}]$

List $I$	List $II$
$P.$ Boltzmann constant	$1.$ $[ML^2T^{-1}]$
$Q.$ Coefficient of viscosity	$2.$ $[ML^{-1}T^{-1}]$
$R.$ Planck constant	$3.$ $[MLT^{-3}K^{-1}]$
$S.$ Thermal conductivity	$4.$ $[ML^2T^{-2}K^{-1}]$

The unit of "impulse per unit area" is the same as that of

Similar Questions

The ratio of the strengths of the four fundamental forces in nature,$F_{G}: F_{N}: F_{E}: F_{W}=$

Match List-$I$ with List-$II$:
List-$I$ List-$II$
$(A)$ Young's Modulus $(I)$ $[ML^{-1}T^{-1}]$
$(B)$ Torque $(II)$ $[ML^{-1}T^{-2}]$
$(C)$ Coefficient of Viscosity $(III)$ $[M^{-1}L^3T^{-2}]$
$(D)$ Gravitational Constant $(IV)$ $[ML^2T^{-2}]$

Choose the correct answer from the options given below:

Which of the following pairs does not have similar dimensions?

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