OnlineCBT Logo OnlineCBT

Physics · UNITS AND MEASUREMENT

हिन्दी

The period of oscillation \( T \) of a gas bubble inside water created by an explosion depends on static pressure \( P \), density of water \( \rho \), and total energy of explosion \( E \). The time period \( T \) is proportional to:

  1. A
    \( P^{-5/6} \rho^{1/2} E^{1/3} \)
  2. B
    \( P^{-5/6} \rho^{1/3} E^{1/2} \)
  3. C
    \( P^{5/6} \rho^{-1/2} E^{1/3} \)
  4. D
    \( P^{-1/2} \rho^{1/2} E^{1/2} \)
View Answer & Solution

Correct answer · Option A

\( P^{-5/6} \rho^{1/2} E^{1/3} \)

Explanation

Let \( T = k P^a \rho^b E^c \). Equating dimensions of \( [P] = [\text{M L}^{-1} \text{T}^{-2}] \), \( [\rho] = [\text{M L}^{-3}] \), and \( [E] = [\text{M L}^2 \text{T}^{-2}] \) gives \( a = -5/6, b = 1/2, c = 1/3 \).
Address Contact

+91 7877547686

E-mail

onlinecbtportal@gmail.com

Helpline Number

+91 7877547686


Click To Download
Get it on Google Play

ऐप डाउनलोड करने
के लिए Google Play पर
उपलब्ध है

WhatsApp Chat