If the unit of length and force be increased four times,then the unit of energy is

  • A
    Increased $4$ times
  • B
    Increased $8$ times
  • C
    Increased $16$ times
  • D
    Decreased $16$ times

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Similar Questions

Which of the following is not represented in the correct unit?

Some physical quantities are given in Column $I$ and some possible $SI$ units in which these quantities may be expressed are given in Column $II$. Match the physical quantities in Column $I$ with the units in Column $II$.
Column $I$ Column $II$
$(A)$ $GM_e M_s$ ($G$: universal gravitational constant,$M_e$: mass of the earth,$M_s$: mass of the Sun) $(p)$ $(\text{volt})(\text{coulomb})(\text{metre})$
$(B)$ $\frac{3RT}{M}$ ($R$: universal gas constant,$T$: absolute temperature,$M$: molar mass) $(q)$ $(\text{kg})(\text{m})^3(\text{s})^{-2}$
$(C)$ $\frac{F^2}{q^2 B^2}$ ($F$: force,$q$: charge,$B$: magnetic field) $(r)$ $(\text{m})^2(\text{s})^{-2}$
$(D)$ $\frac{GM_e}{R_e}$ ($G$: universal gravitational constant,$M_e$: mass of the earth,$R_e$: radius of the earth) $(s)$ $(\text{farad})(\text{volt})^2(\text{kg})^{-1}$

Which physical quantities have the same dimension?

If the unit of force and length each be increased by four times,then the unit of energy is increased by $...$ times.

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 $units$)

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