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Question

(A) $1$. Curie is a unit of radioactivity,defined as the number of disintegrations per second. Its dimension is $[T^{-1}]$,which corresponds to $(G)$.

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$(i)-G, (ii)-H, (iii)-I, (iv)-B, (v)-C$

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(A) $1$. Curie is a unit of radioactivity,defined as the number of disintegrations per second. Its dimension is $[T^{-1}]$,which corresponds to $(G)$.$2$. Light year is a unit of distance. Its dimension is $[L]$,which corresponds to $(H)$.$3$. Dielectric strength is the maximum electric field a material can withstand. Electric field $E = F/q$. Dimension: $[MLT^{-2}] / [IT] = [MLT^{-3}I^{-1}]$,which corresponds to $(I)$.$4$. Atomic weight is a dimensionless ratio of masses. Its dimension is $[M^0L^0T^0]$,but since it represents mass,it is often associated with $[M]$ in specific contexts,which corresponds to $(B)$.$5$. Decibel is a logarithmic unit used to express the ratio of two values of a physical quantity,such as power or intensity. It is dimensionless,which corresponds to $(C)$.Thus,the correct match is $(i)-G, (ii)-H, (iii)-I, (iv)-B, (v)-C$.

List-$I$	List-$II$
$(i)$ Curie	$(A)$ $MLT^{-2}$
$(ii)$ Light year	$(B)$ $M$
$(iii)$ Dielectric strength	$(C)$ Dimensionless
$(iv)$ Atomic weight	$(D)$ $T$
$(v)$ Decibel	$(E)$ $ML^2T^{-2}$
	$(F)$ $MT^{-3}$
	$(G)$ $T^{-1}$
	$(H)$ $L$
	$(I)$ $MLT^{-3}I^{-1}$
	$(J)$ $LT^{-1}$

Similar Questions

Choose the correct statement from the following.

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The equation of state of a gas is given by $\left( P + \frac{aT^2}{V} \right) V^c = (RT + b)$,where $a, b, c$ and $R$ are constants. The isotherms can be represented by $P = AV^m - BV^n$,where $A$ and $B$ depend only on temperature. Then:

Which of the following pairs of physical quantities possess the same dimension?

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Choose the correct match: List-$I$ List-$II$ $(i)$ Curie $(A)$ $MLT^{-2}$ $(ii)$ Light year $(B)$ $M$ $(iii)$ Dielectric strength $(C)$ Dimensionless $(iv)$ Atomic weight $(D)$ $T$ $(v)$ Decibel $(E)$ $ML^2T^{-2}$ $(F)$ $MT^{-3}$ $(G)$ $T^{-1}$ $(H)$ $L$ $(I)$ $MLT^{-3}I^{-1}$ $(J)$ $LT^{-1}$