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The two ends of a metal rod are maintained at temperatures $100 ^\circ\text{C}$ and $110 ^\circ\text{C}$. The rate of heat flow in the rod is found to be $4.0 \text{ J/s}$. If the ends are maintained at temperatures $200 ^\circ\text{C}$ and $210 ^\circ\text{C}$, the rate of heat flow will be:
The coefficients of linear expansion of brass and steel rods are $\alpha_1$ and $\alpha_2$, lengths of brass and steel rods are $l_1$ and $l_2$ respectively. If $(l_2 - l_1)$ is maintained the same at all temperatures, which one of the following relations holds good?
The internal energy change in a system that has absorbed $2\text{ kcal}$ of heat and done $500\text{ J}$ of work is
A string is stretched between fixed points separated by $75.0 \text{ cm}$. It is observed to have resonant frequencies of $420 \text{ Hz}$ and $315 \text{ Hz}$. There are no other resonant frequencies between these two. The lowest resonant frequency for this string is:
A thermodynamic system undergoes a cyclic process $ABCDA$ as shown in Fig. The work done by the system in the cycle is:
Two sources of sound placed close to each other, are emitting progressive waves given by $y_1 = 4 \sin(600\pi t)$ and $y_2 = 5 \sin(608\pi t)$. An observer located near these two sources of sound will hear
If we study the vibration of a pipe open at both ends, then which of the following statements is not true:
The $4^{\text{th}}$ overtone of a closed organ pipe is the same as that of the $3^{\text{rd}}$ overtone of an open pipe. The ratio of the length of the closed pipe to the length of the open pipe is:
A thermodynamic system is taken through the cycle ABCD as shown in the figure. Heat rejected by the gas during the cycle is:
A light-year is a unit of:
In a double-slit experiment, when light of wavelength $400 \text{ nm}$ was used, the angular width of the first minima formed on a screen placed $1 \text{ m}$ away, was found to be $0.2^{\circ}$. What will be the angular width of the first minima, if the entire experimental apparatus is immersed in water? $\left(\mu_{\text{water}} = \frac{4}{3}\right)$
Two particles are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, moving in opposite directions when their displacement is half of the amplitude. The mean positions of the two particles lie on a straight line perpendicular to the paths of the two particles. The phase difference is:
In which of the following processes, the heat is neither absorbed nor released by a system?
For the given cycle, the work done during the isobaric process is:
Which of the following quantities has the same dimensions as that of energy?
The orbital angular momentum of an electron in a d-orbital is equal to:
The number of possible natural oscillations of the air column in a pipe closed at one end of a length of $85 \text{ cm}$ whose frequencies lie below $1250 \text{ Hz}$ is: (velocity of sound $340 \text{ ms}^{-1}$)
Which pair has the same dimensions?
SI unit of pressure is
The reaction between benzaldehyde and acetophenone in the presence of dilute NaOH is known as: