Exams › NEET › Physics

P represents radiation pressure, c represents speed of light and S represents radiation energy striking unit area per sec. The non zero integers x, y, z such that Pⁿ Sⁿ cⁿ is dimensionless are

1. x = 1, y = 1, z = 1
2. x = -1, y = 1, z = 1
3. x = 1, y = -1, z = 1
4. x = 1, y = 1, z = -1

Correct answer: x = 1, y = 1, z = -1

Solution

To make Pⁿ Sⁿ cⁿ dimensionless, the dimensions of P (radiation pressure), S (radiation energy per unit area per second), and c (speed of light) must cancel out. Using dimensional analysis, P has dimensions [ML⁻¹T⁻²], S has dimensions [MT⁻³], and c has dimensions [LT⁻¹]. Solving for x, y, z, we find x = 1, y = 1, z = -1.

Related NEET Physics questions

• \( \mathbf{1}^{o} \boldsymbol{A} \) is
• Which of the following is different from the rest?
• Assertion nm is not same as mN Reason \( \ln m=10^{-9} m \operatorname{and} 1 m N=10^{-3} N \)
• If the dimension of a physical quantity is given by \( \left[M^{a} L^{b} T^{c}\right] \) then the physical quantity will be
• In a new system, unit of mass is \( 10 \mathrm{kg} \) unit of length is \( 5 \mathrm{m} \) and unit of time is 10s. Then in the new system 5N is equal to :
• A cube has a side of length \( 2.342 m \). The surface area and volume in correct significant figures are respectively:

⚔️ Practice NEET Physics free + battle 1v1 →