All questions
- One mole of an ideal gas expands isothermally at 300 K to twice its initial volume. The work done by the gas is approximately (R = 8.314 J mol-1 K-1, ln 2 = 0.693) Answer: B. 1729 J W=nRTlnV₂/V₁=8.314×300×0.693≈1729 J. 1
- A Carnot engine has efficiency 40% with its sink at 300 K. Keeping the sink temperature constant, by how much should the source temperature be increased to raise the efficiency to 50%? Answer: C. 100 K 0.4=1-300/T₁⇒ T₁=500 K. For 50%: T₁'=600 K. Increase =100 K. 1
- The displacement of a particle in SHM is \(x=5\sin\left(\pi t+\frac{\pi}{3}\right)\) cm. Its maximum speed is Answer: B. 5π cm/s v_max=Aω=5×π=5π cm/s. 1
- A mass attached to a spring oscillates with period \(T\). The spring is cut into two equal halves and the same mass is attached to one half. The new period is Answer: D. T/sqrt2 Half spring has k'=2k . T∝1/sqrt k⇒ T'=T/sqrt2 . 1
- The fundamental frequency of a pipe closed at one end is 250 Hz. The frequency of its first overtone is Answer: D. 750 Hz A closed pipe has only odd harmonics; first overtone =3n=750 Hz. 1
- A tuning fork of frequency 256 Hz produces 4 beats/s with an unknown fork. When the unknown fork is loaded with a little wax (which lowers its frequency), the number of beats becomes 6 per second. The original frequency of the unknown fork is Answer: A. 252 Hz Unknown is 252 or 260 Hz. Loading lowers frequency; beats increase only if it was already below 256, so it is 252 Hz. 1
- A string 1 m long, fixed at both ends, carries transverse waves with speed 200 m/s. The frequency of its second overtone is Answer: A. 300 Hz Fundamental =v/2L=100 Hz; second overtone = third harmonic =300 Hz. 1
- What will bethesame of magnesium chloride?
- Aids Sem 8 previous year question papers
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