Question
$A, B, C$ and $D$ are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation $AD = C\, ln\, (BD)$ holds true. Then which of the combination is not a meaningful quantity ?
✓
Answer
Dimension of $A \ne $ dimension of $(C)$ Hence $A - C$ is not possible
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The length of a simple pendulum is increased by $1\%$. Its time period will
→Prnduct $(B)$ of this reaction is
→The length of a sonometer wire is $0.75\, m$ and density $9 \times 10^3\, kg/m^3$. It can bear a stress of $8.1 \times 10^8\, N/m^2$ without exceeding the elastic limit. What is the fundamental frequency that can be produced in the wire .... $Hz$ ?
→The stream of a river is flowing with a speed of $2\,km/h.$ A swimmer can swim at a speed of $4\,km/h.$ ....... $^o$ should be the direction of the swimmer with respect to the flow of the river to cross the river straight .
→Which statement is incorrect?
The $PV$ diagram shows four different possible reversible processes performed on a monatomic ideal gas. Process $A$ is isobaric (constant pressure). Process $B$ is isothermal (constant temperature). Process $C$ is adiabatic. Process $D$ is isochoric (constant volume). For which process$(es)$ does the temperature of the gas decrease?
→An angular impulse of $20 \,Nms$ is applied to a hollow cylinder of mass $2 \,kg$ and radius $20 \,cm$. The change in its angular speed is ............. $rad / s$
→$Assertion$ : The error in the measurement of radius of the sphere is $0.3\%$. The permissible error in its surface area is $0.6\%$
→$Reason$ : The permissible error is calculated by the formula $\frac{{\Delta A}}{A} = \frac{{4\Delta r}}{r}$
In the circuit shown in figure battery is $10 \ V$ and $C = 6\,\mu F$ . The charge stored in capacitor of capacity $C$ is......$\mu C$
→$X-$ rays when incident on a metal
→