Home
Class 11
PHYSICS
A gas bubble , from an explosing under w...

A gas bubble , from an explosing under water , oscillates with a period T proportional in `P^(0)D^(0)E^(0)` , where p is the static prossure , d is the density of water and E is the total energy of the explosion . Find the value of` a , b` and` c` .

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
`[T] = [p^(a)d^(b) E^(c)] = [ML^(-1)T^(-2)] ^(0) [ML^(-3)]^(4)[ML^(2)T^(-2)]^(1)`
Equating the power of both sides , we have
` a+ b+ c= 0 ` …(i)
` -a - 3b + 2c = 0` …(ii)
` -2a - 2c =1 ` …(iii)
Solving these three equation , we have
` a = (5)/(6) , b = (1)/(2)`
and ` c = (1)/(3) `
Promotional Banner

Topper's Solved these Questions

  • UNIT AND DIMENSIONS

    DC PANDEY|Exercise Assertion And Reason|2 Videos

  • UNIT AND DIMENSIONS

    DC PANDEY|Exercise More Than One Correct|5 Videos

  • THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES

    DC PANDEY|Exercise Level 2 Subjective|9 Videos

  • UNITS, DIMENSIONS & ERROR ANALYSIS

    DC PANDEY|Exercise Medical entrances gallery|32 Videos

Similar Questions

Explore conceptually related problems

A gas bubble, from an exlosion under water, oscillates with a period T proportional to p^(a)d^(b)E^( c ) . Where P is the static pressure, d is the density of water AND is the total energy of the explosion. Find the values of a, b and, c .

A gas bubble from an explosion under water oscillates with a period T proportional to P^(a) d^(b) E^(c ) , where P is the pressure, d is density of water and E is the total energy of the explosion. Find the value of a,b and c .

A gas bubble, from an explosion under water, oscillates with a period proportional to P^a d^b E^c , where P is the static pressure , d is the density and E is the total energy of the explosion. Find the values of a,b and c.

A gas bubble oscillates with a time period T proportional to p^(a) d^(b) E^(c) where P is pressure , d is the density and E is the energy. The values of a,b and C are :

A dubble under water oscillates with period T, which is proportional to p^(-5//6),d^(1//2)E^(Y), where p is pressure, d is density and E is energy. The value of gamma is -

The period T of a soap bubble under SHM is given by T = P^(a) D^(b) S^(c ) , where P is pressure, D , is density and S is surface tension. Then the values of a,b and c are

A small air bubble of radius r in water is at depth h below the water surface. If P_0 is the atmospheric pressure, rho is the density of water and T is the surface tension of water, what is the pressure inside the bubble?

The time period of a body undergoing simple harmonic motion is given by T = p^a D^b S^c , where p is the pressure, D is density and S is surface tension. The values of a, b and c respectively are

If a,b,c,d, e are in A.P.,the find the value of a-4b+6c-4d+e