MHT CET · Physics · Waves and Sound
The ratio of the velocity of sound in hydrogen gas \(\left(\gamma=\frac{7}{5}\right)\) to that in helium gas \(\left(\gamma=\frac{5}{3}\right)\) at the same temperature is
- A \(1: 1\)
- B \(7 ; 3\)
- C \(21: 25\)
- D \(\sqrt{42}: 5\)
Answer & Solution
Correct Answer
(D) \(\sqrt{42}: 5\)
Step-by-step Solution
Detailed explanation
Formula:
\(\frac{v_H}{v_{H e}}=\sqrt{\frac{\gamma_H M_{H e}}{\gamma_{H e} M_H}} .\)
Given:
- \(\gamma_H=\frac{7}{5}, \gamma_{H e}=\frac{5}{3}\),
- \(M_H=2, M_{H e}=4\).
Step 1: Substitute values:
\(\frac{v_H}{v_{H e}}=\sqrt{\frac{\frac{7}{5} \cdot 4}{\frac{5}{3} \cdot 2}}=\sqrt{\frac{28}{10} \cdot \frac{3}{5}}=\sqrt{\frac{84}{50}}=\frac{\sqrt{42}}{5} .\)
Answer: \(\frac{\sqrt{42}}{5}\), Option 4.
\(\frac{v_H}{v_{H e}}=\sqrt{\frac{\gamma_H M_{H e}}{\gamma_{H e} M_H}} .\)
Given:
- \(\gamma_H=\frac{7}{5}, \gamma_{H e}=\frac{5}{3}\),
- \(M_H=2, M_{H e}=4\).
Step 1: Substitute values:
\(\frac{v_H}{v_{H e}}=\sqrt{\frac{\frac{7}{5} \cdot 4}{\frac{5}{3} \cdot 2}}=\sqrt{\frac{28}{10} \cdot \frac{3}{5}}=\sqrt{\frac{84}{50}}=\frac{\sqrt{42}}{5} .\)
Answer: \(\frac{\sqrt{42}}{5}\), Option 4.
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- An electron accelerated through potential difference \(V\) passes through a uniform transverse magnetic field and experiences a force \(F\). If the accelerating potential is increased to \(2 \mathrm{~V}\), the electron in the same magnetic field will experience a forceMHT CET 2022 Medium
- Two masses \(m_1\) and \(m_2\) moving with velocities \(v_1\) and \(v_2\) in opposite directions collide elastically and after collision masses \(m_1\) and \(m_2\) move with velocity \(v_2\) and \(v_1\) respectively. The ratio \(\left(\frac{m_2}{m_1}\right)\) isMHT CET 2022 Easy
- When a current of \(2 \mathrm{~A}\) is passed through a coil of 100 turns, flux associated with it is \(5 \times 10^{-5} \mathrm{~Wb}\). Find the self inductance of the coil.MHT CET 2010 Medium
- The figure shows currents in a part of electric circuit. Then current \(I\) is
MHT CET 2024 Easy - In \(\mathrm{P}^{\text {th }}\) second, a particle describes angular displacement of ' \(\beta\) ' rad. If it starts from rest, the angular acceleration isMHT CET 2023 Hard
- For an intrinsic semiconductor \(\left(\mathrm{n}_{\mathrm{h}}\right.\) and \(\mathrm{n}_{\mathrm{e}}\) are the number of holes per unit volume and number of electrons per unit volume respectively)MHT CET 2023 Medium
More PYQs from MHT CET
- \(\text {Calculate } \mathrm{E}_{\text {cell }}^{\circ} \text { for } \mathrm{Cd}_{(\mathrm{s})}\left|\mathrm{Cd}_{(\mathrm{IM})}^{++}\right|\left|\mathrm{Ag}_{(\mathrm{MM})}^{+}\right| \mathrm{Ag}_{(\mathrm{s})}.\) \(\ {\left[\mathrm{E}_{\mathrm{Cd}}^{\circ}=-0.403 \mathrm{~V} ; \mathrm{E}_{\mathrm{Ag}}^{\circ}=0.799 \mathrm{~V}\right]}\)MHT CET 2023 Easy
- What is the coordination number of a particle in fcc structure?MHT CET 2024 Easy
- In LCR series circuit, \(\mathrm{R}=18 \Omega\) and impedance \(33 \Omega\). An r.m.s. voltage of 220 V is applied across the circuit. The true power consumed in a.c. circuit isMHT CET 2025 Medium
- How many molecules of reduced coenzymes are formed during aerobic respiration of one glucose molecule?MHT CET 2023 Easy
- A current of 5 A is flowing at 220 V in a primary coil of a transformer. If the voltage produced in the secondary coil is 2200 V and \(50 \%\) of power is lost, then the current in the secondary coil will beMHT CET 2025 Medium
- Calculate the \(\mathrm{pH}\) of a buffer solution containing \(0.01 \mathrm{M}\) salt and \(0.004 \mathrm{M}\) weak acid. \(\left(\mathrm{pK}_{\mathrm{a}}=4.762\right)\)MHT CET 2023 Medium