Recent content by Istiak

  1. Istiak

    Derive ##\dfrac{\rho_1}{\rho_2}=\dfrac{T_2}{T_1}##

    The equation on #20 were saying pressures are same. But in #16 I got that pressure times volume are the same. If we consider pressure to be same then Volume should be same. That's what was confusing me that moment. The fire increases the pressure of the balloon if we consider volume to be...
  2. Istiak

    Change Username: Tips & Advice

    How to change username? I had visited "MY PF" but can't find out anything. There's no edit option of username.
  3. Istiak

    Derive ##\dfrac{\rho_1}{\rho_2}=\dfrac{T_2}{T_1}##

    ##\rho=\frac{P}{RT}## ##\dfrac{\rho_1}{\rho_2}=\frac{T_2}{T_1}## ##\dfrac{P_1RT_2}{RT_1P_2}=\frac{T_2}{T_1}## ##\dfrac{P_1}{P_2}=1## ?
  4. Istiak

    Derive ##\dfrac{\rho_1}{\rho_2}=\dfrac{T_2}{T_1}##

    don't know. But I may try, at the end I will consider their temperature is same. So I will start with ##PV=nRT## ##\frac{P_1V_1}{P_2V_2}=1##? Considered for a single mole ##n=1##.
  5. Istiak

    Derive ##\dfrac{\rho_1}{\rho_2}=\dfrac{T_2}{T_1}##

    I think that depends. Like, if outside pressure is higher than it shrinks and inflates for less pressure outside
  6. Istiak

    Derive ##\dfrac{\rho_1}{\rho_2}=\dfrac{T_2}{T_1}##

    Are you talking about ##(\dfrac{V_1}{V_2})^\gamma=\dfrac{P_2}{P_1}##?
  7. Istiak

    Derive ##\dfrac{\rho_1}{\rho_2}=\dfrac{T_2}{T_1}##

    Consider a hot-air balloon with fixed volume VB = 1.1 m3. The mass of the balloonenvelope, whose volume is to be neglected in comparison to VB, is mH = 0.187 kg. The balloon shall be started, where the external air temperature is ϑ1 = 20 oC and the normal external air pressure is po = 1.013 ⋅...
  8. Istiak

    Derive ##\dfrac{\rho_1}{\rho_2}=\dfrac{T_2}{T_1}##

    The problem said that, "density of first object is ##n## times of second object". Hope it's clearer more now
  9. Istiak

    Derive ##\dfrac{\rho_1}{\rho_2}=\dfrac{T_2}{T_1}##

    No. ##n## is just an integer.
  10. Istiak

    Derive ##\dfrac{\rho_1}{\rho_2}=\dfrac{T_2}{T_1}##

    first object and 2nd object. e.g. ##\rho_1## density of first object.
  11. Istiak

    Derive ##\dfrac{\rho_1}{\rho_2}=\dfrac{T_2}{T_1}##

    I just found here(https://byjus.com/physics/relation-between-density-and-temperature/#:~:text=Density and Temperature Relationship 1 When density increases,,reduces. 4 When the temperature decrease, density increases.) that P=##rho##RT. So they just took ##\rho=\frac{n}{V}##...
  12. Istiak

    Calculating Energy From Charged Particles: 0.5869 J

    Since they have same charges (not magnitude) so they distract. They simply stop as further as they move, at infinity? E=0 at infinity. dunno 🤔 ##U=\int \vec F \cdot d\vec r## ?
  13. Istiak

    Calculating Energy From Charged Particles: 0.5869 J

    Generally, energy is ##U=9\times 10^{9} \times \frac{5\times 10^{-6}30\times 10^{-6}}{2+(10+20)\times 10^{-2}}=0.5869 J## <br/> After touching, they have charges ##q_1 and q_2 = 35\mu C-q_1## ##\frac{q_1}{10}=\frac{35\mu C-q_1}{20}## I was wondering where 1/10 and 1/20 coefficients come...
  14. Istiak

    Velocity along the cylinder axis

    According to an Olympiad contestant (reached ipho), the answer is ##I=2nr##. (asked for hint) And he have made sure that the ##r=\frac{mv}{eB}##.
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