Physical World and Measurement

What is the number of significant figures in the constant $2.99 \times 10^8$ m/s?

The unit of force in the CGS system is:

Which of these is the dimension of 'Speed'?

The SI prefix 'Femto' represents which multiplier?

The relationship between pressure ($P$), volume ($V$), absolute temperature ($T$), and the number of moles ($n$) for an ideal gas is given by the equation $PV = nRT$. Based on the dependencies shown in the diagram, what is the dimensional formula for the Universal Gas Constant ($R$)?

A unified atomic mass unit ($1$ u) is equal to:

The dimension of angular momentum is:

Find the dimensional formula of 'Gravitational Potential'.

If Energy ($E$), Velocity ($v$), and Force ($F$) were chosen as fundamental units, what would be the dimensional formula for Mass?

What is the dimensional formula for the 'Moment of Inertia'?

The Principle of Homogeneity states that in a physical equation, dimensions of all terms on both sides must be:

What are the dimensions of Luminous Intensity?

What is the dimension of the SI unit 'mole'?

Which of the following is the dimensional formula for Refractive Index?

Entropy ($S$) is defined as the ratio of heat energy transferred to the absolute temperature ($S = Q/T$). What are its dimensions?

The Rydberg constant ($R_H$) appears in the formula for the wavelength of spectral lines: $\frac{1}{\lambda} = R_H (\frac{1}{n_1^2} - \frac{1}{n_2^2})$. What are the dimensions of $R_H$?

The force constant ($k$) of a spring is defined as force per unit extension. What is its dimensional formula?

If the units of length and force are increased fourfold, then the unit of energy will increase:

The dimensional formula for the magnetic induction ($B$) is:

What is the dimensional formula for the Rydberg constant ($R$)?

Relative error is also known as:

The maximum possible error in the sum of two quantities is:

External pressure and temperature changes during an experiment result in:

A measurement of $0.0230$ has how many significant figures?

A body travels a distance $(13.8 \pm 0.2)$ m in a time $(4.0 \pm 0.3)$ s. The velocity of the body within error limits is:

The least count of a standard metric ruler used in laboratories is usually:

The mean of the values $10.1, 10.2, 10.3, 10.4, 10.5$ is $10.3$. The mean absolute error is:

The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are $1.5\%$ and $1\%$ respectively, the maximum error in determining the density is:

The length of a cylinder is $(10.0 \pm 0.1)$ cm and its radius is $(4.00 \pm 0.01)$ cm. The percentage error in its volume is:

A physical quantity is given by $Y = \frac{a^2 b}{c}$. If the percentage errors in $a, b, c$ are $1\%, 2\%, 4\%$ respectively, then the maximum percentage error in $Y$ is: