Fill in the blanks:
$(a)$ $1 \ \text{Joule} = \dots \ \text{erg}$
$(b)$ $1 \ \text{eV} = \dots \ \text{Joule}$
$(c)$ $1 \ \text{kWh} = \dots \ \text{Joule}$
$(a)$ $1 \ \text{Joule} = \dots \ \text{erg}$
$(b)$ $1 \ \text{eV} = \dots \ \text{Joule}$
$(c)$ $1 \ \text{kWh} = \dots \ \text{Joule}$
(N/A) Since $1 \ \text{J} = 1 \ \text{kg} \cdot \text{m}^2/\text{s}^2$ and $1 \ \text{erg} = 1 \ \text{g} \cdot \text{cm}^2/\text{s}^2$,we have $1 \ \text{J} = (10^3 \ \text{g}) \times (10^2 \ \text{cm})^2 / \text{s}^2 = 10^7 \ \text{erg}$.
$(b)$ Since $1 \ \text{eV}$ is the energy gained by an electron accelerated through a potential difference of $1 \ \text{V}$,$1 \ \text{eV} = (1.602 \times 10^{-19} \ \text{C}) \times (1 \ \text{V}) = 1.602 \times 10^{-19} \ \text{J}$.
$(c)$ Since $1 \ \text{kWh} = (10^3 \ \text{W}) \times (3600 \ \text{s}) = 1000 \ \text{J/s} \times 3600 \ \text{s} = 3.6 \times 10^6 \ \text{J}$.
$(b)$ Since $1 \ \text{eV}$ is the energy gained by an electron accelerated through a potential difference of $1 \ \text{V}$,$1 \ \text{eV} = (1.602 \times 10^{-19} \ \text{C}) \times (1 \ \text{V}) = 1.602 \times 10^{-19} \ \text{J}$.
$(c)$ Since $1 \ \text{kWh} = (10^3 \ \text{W}) \times (3600 \ \text{s}) = 1000 \ \text{J/s} \times 3600 \ \text{s} = 3.6 \times 10^6 \ \text{J}$.
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Similar Questions
Match List $I$ with List $II$:
List $I$ List $II$ $(A)$ Young's Modulus $(Y)$ $(I)$ $[M L^{-1} T^{-1}]$ $(B)$ Co-efficient of Viscosity $(\eta)$ $(II)$ $[M L^2 T^{-1}]$ $(C)$ Planck's Constant $(h)$ $(III)$ $[M L^{-1} T^{-2}]$ $(D)$ Work Function $(\phi)$ $(IV)$ $[M L^2 T^{-2}]$
Choose the correct answer from the options given below:
| List $I$ | List $II$ |
| $(A)$ Young's Modulus $(Y)$ | $(I)$ $[M L^{-1} T^{-1}]$ |
| $(B)$ Co-efficient of Viscosity $(\eta)$ | $(II)$ $[M L^2 T^{-1}]$ |
| $(C)$ Planck's Constant $(h)$ | $(III)$ $[M L^{-1} T^{-2}]$ |
| $(D)$ Work Function $(\phi)$ | $(IV)$ $[M L^2 T^{-2}]$ |
Choose the correct answer from the options given below:
Consider the following statements:
$(A)$ Any physical quantity can have more than one unit.
$(B)$ Any physical quantity has only one dimensional formula.
$(C)$ More than one physical quantity may have the same dimension.
$(D)$ We can add and subtract only those expressions that have the same dimension.
The number of correct statements is:
$(A)$ Any physical quantity can have more than one unit.
$(B)$ Any physical quantity has only one dimensional formula.
$(C)$ More than one physical quantity may have the same dimension.
$(D)$ We can add and subtract only those expressions that have the same dimension.
The number of correct statements is:
Medium
View SolutionThe unit of length convenient on the atomic scale is known as an $\mathring{A}$ and is denoted by $\mathring{A}: 1 \mathring{A} = 10^{-10} \, m$. The size of a hydrogen atom is about $0.5 \mathring{A}$. What is the total atomic volume in $m^{3}$ of a mole of hydrogen atoms?
Medium
View SolutionIdentify the physical parameters from the list given below that have the same dimensions:
$(i)$ Magnetic field $(B)$
$(ii)$ Energy density $(u)$
$(iii)$ Refractive index $(\mu)$
$(iv)$ Young's modulus $(Y)$
$(v)$ Dielectric constant $(K)$
$(i)$ Magnetic field $(B)$
$(ii)$ Energy density $(u)$
$(iii)$ Refractive index $(\mu)$
$(iv)$ Young's modulus $(Y)$
$(v)$ Dielectric constant $(K)$
Medium
View SolutionNames of units of some physical quantities are given in List-$I$ and their dimensional formulae are given in List-$II$. Match the correct pairs in the lists:
$A$. $Pa \cdot s$ $(i)$. $[L^2 T^{-2} K^{-1}]$ $B$. $N \cdot m \cdot K^{-1}$ $(ii)$. $[MLT^{-3} K^{-1}]$ $C$. $J \cdot kg^{-1} \cdot K^{-1}$ $(iii)$. $[ML^{-1} T^{-1}]$ $D$. $W \cdot m^{-1} \cdot K^{-1}$ $(iv)$. $[ML^2 T^{-2} K^{-1}]$
| $A$. $Pa \cdot s$ | $(i)$. $[L^2 T^{-2} K^{-1}]$ |
| $B$. $N \cdot m \cdot K^{-1}$ | $(ii)$. $[MLT^{-3} K^{-1}]$ |
| $C$. $J \cdot kg^{-1} \cdot K^{-1}$ | $(iii)$. $[ML^{-1} T^{-1}]$ |
| $D$. $W \cdot m^{-1} \cdot K^{-1}$ | $(iv)$. $[ML^2 T^{-2} K^{-1}]$ |
DifficultAP EAMCET 2005
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