Match List-I with List-II. List-I Lis | vedclass

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(B) $1$. Torque is defined as the product of force and the perpendicular distance from the axis of rotation. Its $SI$ unit is $Nm$.$2$. Stress is defi

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$(A)-(III), (B)-(IV), (C)-(II), (D)-(I)$

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(B) $1$. Torque is defined as the product of force and the perpendicular distance from the axis of rotation. Its $SI$ unit is $Nm$.$2$. Stress is defined as the restoring force per unit area. Its $SI$ unit is $N/m^2$ or $Nm^{-2}$.$3$. Latent heat is the energy required to change the state of a unit mass of a substance. Its $SI$ unit is $J/kg$ or $Jkg^{-1}$.$4$. Power is defined as the rate of doing work. Since $Work = Force 	imes Displacement$,$Power = Force 	imes Velocity$. Its $SI$ unit is $N 	imes (m/s) = Nms^{-1}$.Therefore,the correct matching is $(A)-(III), (B)-(IV), (C)-(II), (D)-(I)$.

List-$I$	List-$II$
$(A)$ Torque	$(I)$ $Nms^{-1}$
$(B)$ Stress	$(II)$ $Jkg^{-1}$
$(C)$ Latent Heat	$(III)$ $Nm$
$(D)$ Power	$(IV)$ $Nm^{-2}$

List-$I$	List-$II$
$(A)$ Mass density	$(I)$ $[ML^2T^{-3}]$
$(B)$ Impulse	$(II)$ $[MLT^{-1}]$
$(C)$ Power	$(III)$ $[ML^2T^0]$
$(D)$ Moment of inertia	$(IV)$ $[ML^{-3}T^0]$

Match List-$I$ with List-$II$.

List-$I$ List-$II$

$(A)$ Torque $(I)$ $Nms^{-1}$

$(B)$ Stress $(II)$ $Jkg^{-1}$

$(C)$ Latent Heat $(III)$ $Nm$

$(D)$ Power $(IV)$ $Nm^{-2}$

Choose the correct answer from the options below.

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State whether the following statements are true or false:
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$(b)$ Impulse and the gradient of energy have the same units.
$(c)$ The absolute error in every measurement is equal to the least count of the measuring instrument.

The density of a substance is $4 \, g/cc$ in a system in which the unit of length is $5 \, cm$ and the unit of mass is $20 \, g$. The density of the substance in the $CGS$ system is: (in $units$)

Match List-$I$ with List-$II$.
List-$I$ List-$II$
$(A)$ Mass density $(I)$ $[ML^2T^{-3}]$
$(B)$ Impulse $(II)$ $[MLT^{-1}]$
$(C)$ Power $(III)$ $[ML^2T^0]$
$(D)$ Moment of inertia $(IV)$ $[ML^{-3}T^0]$
Choose the correct answer from the options given below:

To determine Young's modulus of a wire,the formula is $Y = \frac{F}{A} \cdot \frac{L}{\Delta L}$,where $F/A$ is the stress and $L/\Delta L$ is the reciprocal of strain. The conversion factor to change $Y$ from $CGS$ to $MKS$ system is:

The unit $J \cdot s^2$ corresponds to which physical quantity?

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Match List-$I$ with List-$II$. List-$I$ List-$II$ $(A)$ Torque $(I)$ $Nms^{-1}$ $(B)$ Stress $(II)$ $Jkg^{-1}$ $(C)$ Latent Heat $(III)$ $Nm$ $(D)$ Power $(IV)$ $Nm^{-2}$ Choose the correct answer from the options below.