The pair(s) of physical quantities that have the same dimensions, is (are)
A
Reynolds number and coefficient of friction
B
Latent heat and gravitational potential
C
Curie and frequency of a light wave
D
All of these
IIT 1995, Medium
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D
All of these
d (d) Reynolds number and coefficient of friction are dimensionless.
Latent heat and gravitational potential both have dimension $[{L^2}{T^{ - 2}}]$.
Curie and frequency of a light wave both have dimension $[{T^{ - 1}}]$. But dimensions of Planck's constant is $[{T^{ - 1}}]$ and torque is $[M{L^2}{T^{ - 2}}]$.
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In an experiment, the following observation's were recorded : $L = 2.820\, m, M = 3.00 \,kg, l = 0.087 \,cm$, Diameter $D = 0.041 \,cm$ Taking $g = 9.81$ $m/{s^2}$ using the formula , $Y=\frac{{4MgL}}{{\pi {D^2}l}}$, the maximum permissible error in $Y$ is ......... $\%$
The main scale of a vernier calliper has $n$ divisions/ $\mathrm{cm}$. $n$ divisions of the vernler scale coincide with $(\mathrm{n}-1)$ divisions of maln scale. The least count of the vernler calliper is,
In an experiment, mass of an object is measured by applying a known force on it, and then measuring its acceleration. If in the experiment, the measured values of applied force and the measured acceleration are $F=10.0 \pm 0.2 \,N$ and $a=1.00 \pm 0.01 \,m / s ^2$, respectively. Then, the mass of the object is ............... $kg$
There are two Vernier calipers both of which have $1 \mathrm{~cm}$ divided into $10$ equal divisions on the main scale. The Vernier scale of one of the calipers $\left(C_1\right)$ has $10$ squal divisions that correspond to $9$ main scale divisions. The Vernier scale of the other caliper $\left(C_2\right)$ has $10$ equal divisions that correspond to $11$ main scale divisions. The readings of the two calipers are shown in the figure. The measured values (in $\mathrm{cm}$ ) by calipers $C_1$ and $C_2$, respectively, are
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