The number of significant figures in 0.03240 is

If force $=\frac{\alpha}{\operatorname{density}+\beta^3}$, then the dimensional formulae of $\alpha$ and $\beta$ are respectively

If the error in the measurement of the surface area of a sphere is $1.2 \%$, then the error in the determination of the volume of the sphere is

If the equation for the velocity of a particle at time ' $t$ ' is $v=$ at $+\frac{b}{t+c}$, then the dimensions of $a, b, c$ are respectively

Of the following, the pair of physical quantities not having the same dimensional formula is

The number of significant figures in the simplification of $\frac{0.501}{0.05}(0.312-0.03)$ is

The dimensional formula of Planck's constant is

If the maximum and minimum temperatures at a place on a day are measured as $44^{\circ} \mathrm{C} \pm 0.5^{\circ} \mathrm{C}$ and $22^{\circ} \mathrm{C} \pm 0.5^{\circ} \mathrm{C}$ respectively, then the temperature difference is

Among the following, the physical quantity having the dimensions of Young's modulus is

In the equation $\left(p+\frac{a}{V^2}\right)(V-b)=R T$, where $p$ is pressure, $V$ is volume, $T$ is temperature, $R$ is universal gas constant, $a$ and $b$ are constants. The dimensions of $a$ are

The energy of $$E$$ of a system is function of time $$t$$ and is given by $$E(t)=\alpha t-\beta t^3$$, where $$\alpha$$ and $$\beta$$ are constants. The dimensions of $$\alpha$$ and $$\beta$$ are

In SI units, $$\mathrm{kg}-\mathrm{m}^2 \mathrm{~s}^{-2}$$ is equivalent to which of the following?

If $$N_A, N_B$$ and $$N_C$$ are the number of significant figures in $$A=0.001204 \mathrm{~m}, B=43120000 \mathrm{~m}$$ and $$C=1.200 \mathrm{~m}$$ respectively, then

Which year was declared as the Internationalyear of Physics?

One angstrom $$(\mathop A\limits^o )$$ is equal to

The dimensions of stress is

The speed of ripples $$(v)$$ on water surface depends on surface tension $$(\sigma)$$, density $$(\rho)$$ and wavelength $$(\lambda)$$. Then, the square of speed $$(v)$$ is proportional to