Medium
If the unit of force and length each be increased by four times,then the unit of energy is increased by $...$ times.
- A$16$
- B$8$
- C$2$
- D$4$
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Similar Questions
Match List-$I$ with List-$II$.
List-$I$ List-$II$ $(A)$ Torque $(I)$ $kg\,m^{-1}\,s^{-2}$ $(B)$ Energy density $(II)$ $kg\,m\,s^{-1}$ $(C)$ Pressure gradient $(III)$ $kg\,m^{-2}\,s^{-2}$ $(D)$ Impulse $(IV)$ $kg\,m^2\,s^{-2}$
Choose the correct answer from the options given below:
| List-$I$ | List-$II$ |
|---|---|
| $(A)$ Torque | $(I)$ $kg\,m^{-1}\,s^{-2}$ |
| $(B)$ Energy density | $(II)$ $kg\,m\,s^{-1}$ |
| $(C)$ Pressure gradient | $(III)$ $kg\,m^{-2}\,s^{-2}$ |
| $(D)$ Impulse | $(IV)$ $kg\,m^2\,s^{-2}$ |
Choose the correct answer from the options given below:
Although the units of torque and work are the same,why are they not the same physical quantities?
Easy
View SolutionMatch List $I$ with List $II$:
List $I$ List $II$ $A$. Torque $I$. $[M^1 L^1 T^{-2} A^{-2}]$ $B$. Magnetic field $II$. $[L^2 A^1]$ $C$. Magnetic moment $III$. $[M^1 T^{-2} A^{-1}]$ $D$. Permeability of free space $IV$. $[M^1 L^2 T^{-2}]$
Choose the correct answer from the options given below:
| List $I$ | List $II$ |
| $A$. Torque | $I$. $[M^1 L^1 T^{-2} A^{-2}]$ |
| $B$. Magnetic field | $II$. $[L^2 A^1]$ |
| $C$. Magnetic moment | $III$. $[M^1 T^{-2} A^{-1}]$ |
| $D$. Permeability of free space | $IV$. $[M^1 L^2 T^{-2}]$ |
Choose the correct answer from the options given below:
DifficultJEE MAIN 2024
View SolutionSome physical constants are given in List-$I$ and their dimensional formulae are given in List-$II$. Match the following:
List-$I$ List-$II$ $(1)$ Planck's constant $(i)$ $[ML^{-1} T^{-2}]$ $(2)$ Gravitational constant (ii) $[ML^{-1} T^{-1}]$ $(3)$ Bulk modulus (iii) $[ML^2 T^{-1}]$ $(4)$ Coefficient of viscosity (iv) $[M^{-1} L^3 T^{-2}]$
The correct answer is:
| List-$I$ | List-$II$ |
| $(1)$ Planck's constant | $(i)$ $[ML^{-1} T^{-2}]$ |
| $(2)$ Gravitational constant | (ii) $[ML^{-1} T^{-1}]$ |
| $(3)$ Bulk modulus | (iii) $[ML^2 T^{-1}]$ |
| $(4)$ Coefficient of viscosity | (iv) $[M^{-1} L^3 T^{-2}]$ |
The correct answer is:
The pair having the same dimensions is
Medium
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