Exams › JEE Main › Physics

If E, m, J and G denote energy, mass, angular momentum and the gravitational constant, respectively, then the dimensional formula of EJ²/(m⁵G²) is identical to that of which quantity?

1. angle
2. length
3. mass
4. time

Correct answer: angle

Solution

The dimensional formula of EJ²/(m⁵G²) simplifies to that of an angle because the units of energy, angular momentum, mass, and the gravitational constant combine in such a way that they ultimately yield a dimensionless quantity, which is characteristic of angles.

Related JEE Main Physics questions

• A body has a measured mass of 5.00 ± 0.05 kg and a measured volume of 1.00 ± 0.05 m³. What is the maximum possible percentage error in its density?
• A substance has a density of 4 g/cm³ in the CGS system. If a new unit system is used where the unit of length is 10 cm and the unit of mass is 100 g, what is the numerical value of the density in that system?
• Which of the following physical quantities has dimensions that do not match the other three?
• If the percentage uncertainties in measuring mass M, length L, and time T are 1%, 1.5%, and 3% respectively, what is the percentage error in a quantity having dimensions M L⁻¹ T⁻¹?
• A rod was found to have a measured length of 3.50 cm. Which measuring device was used for this reading?
• In a screw gauge, two complete rotations of the circular scale advance the spindle by 1 mm on the main scale, and the circular scale has 50 equal divisions. The instrument is known to have a zero error of -0.03 mm. When the diameter of a fine wire is measured, the main scale reading is 3 mm and the circular scale division coinciding with the reference line is 35. What is the wire’s diameter?

⚔️ Practice JEE Main Physics free + battle 1v1 →