NEET Questions

The density of a substance is given as 0.8 g/$cm^3$. Convert this density to kg/$m^3$.

A student performs an experiment to determine the density of a rectangular block. They measure the length as $12.12 ext{ cm}$, the width as $5.3 ext{ cm}$, and the height as $1.21 ext{ cm}$. The mass is measured as $50.2 ext{ g}$. The student calculates the volume and then the density. Which of the following correctly expresses the final calculated density with the appropriate number of significant figures?

The density of a substance is 2 g/cm³. What is its density in kg/m³?

A perfectly spherical planet X has twice the radius of Earth and half the average density. An object weighs 100 N on Earth's surface. What would be its weight on the surface of planet X?

Imagine a planet with a non-uniform density distribution. Its core has a density $\rho_c$, and the outer shell has a density $\rho_s$. If the core radius is half the total radius R, what core density $\rho_c$ would result in the same surface gravity as Earth (assuming the shell density $\rho_s$ is negligible)?

If Earth's density were doubled while its radius remained constant, the acceleration due to gravity at its surface would:

A planet has a radius R and density $\rho$. If both are doubled, the acceleration due to gravity at its surface will:

Two planets A and B have identical radii but different densities, $\rho_A$ and $\rho_B$, respectively, where $\rho_A = 2\rho_B$. The ratio of their escape velocities, $v_A/v_B$, is:

Two planets have the same average density but different radii. The larger planet has twice the radius of the smaller planet. What is the ratio of the gravitational field strength on the surface of the larger planet to that on the surface of the smaller planet?

Two planets A and B have the same density but different radii. The ratio of their escape velocities is $v_{eA} : v_{eB} = 1:2$. What is the ratio of their radii $R_A : R_B$?