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Two cylinders A and B of equal capacity are connected to each other via a stopcock. A contains an ideal gas at standard temperature and pressure. B is completely evacuated. The entire system is thermally insulated. The stopcock is suddenly opened. The process is:
A stone dropped from a building of height $h$ reaches the earth after $t$ seconds. From the same building, if two stones are thrown (one upwards and other downwards) with the same velocity $u$ and they reach the earth surface after $t_1$ and $t_2$ seconds respectively, then:
Sound waves travel at $350 \text{ m/s}$ through warm air and at $3500 \text{ m/s}$ through brass. The wavelength of a $700 \text{ Hz}$ acoustic wave as it enters brass from warm air:
A car accelerates from rest at a constant rate $\alpha$ for some time, after which it decelerates at a constant rate $\beta$ and comes to rest. If the total time elapsed is $t$, then the maximum velocity acquired by the car is:
A train of $150 \text{ meter}$ length is going towards north direction at a speed of $10 \text{ m/s}$. A parrot flies at the speed of $5 \text{ m/s}$ towards south direction parallel to the railway track. The time taken by the parrot to cross the train is:
A current loop consists of two identical semicircular parts each of radius $R$, one lying in the $x-y$ plane, and the other in the $x-z$ plane. If the current in the loop is $i$, what will be the resultant magnetic field due to the two semicircular parts at their common centre?
A particle is projected up with an initial velocity of $80\text{ ft/sec}$. The ball will be at a height of $96\text{ ft}$ from the ground after (Given $g=32\text{ ft/s}^2$):
A battery of emf 10 V and internal resistance 3 Ω is connected to a resistor. If the current in the circuit is 0.5 A, what is the terminal voltage of the battery when the circuit is closed?
When a ball is thrown up vertically with velocity $v_0$, it reaches a maximum height of '$h$'. If one wishes to triple the maximum height then the ball should be thrown with velocity:
If a freely falling body travels in the last second a distance equal to the distance travelled by it in the first three seconds, the time of the travel is:
The magnetic force acting on a charged particle of charge $-2 \mu C$ in a magnetic field of $2 T$ acting in y-direction, when the particle velocity is $(2\hat{i} + 3\hat{j}) \times 10^6 \text{ ms}^{-1}$ is:
A train moving at a speed of $220 \text{ ms}^{-1}$ towards a stationary object, emits a sound of frequency $1000 \text{ Hz}$. Some of the sound reaching the object gets reflected back to the train as an echo. The frequency of the echo as detected by the driver of the train is (speed of sound in air is $330 \text{ ms}^{-1}$)
A common emitter amplifier has a voltage gain of 50, an input impedance of $100 \text{ } \Omega$ and an output impedance of $200 \text{ } \Omega$. The power gain of the amplifier is:
Charge q is uniformly spread on a thin ring of radius R. The ring rotates about its axis with a uniform frequency f Hz. The magnitude of magnetic induction at the center of the ring is :
The displacement-time (s-t) graphs of two moving particles A and B make angles of $30^\circ$ and $45^\circ$ with the x-axis as shown in the figure. The ratio of their respective velocity $(v_A/v_B)$ is:
The circuit is equivalent to:
A ray is incident at an angle of incidence i on one surface of a small angle prism (with angle of prism A) and emerges normally from the opposite surface. If the refractive index of the material of the prism is $\mu$, then the angle of incidence is nearly equal to :
In hydrogen spectrum, the shortest wavelength in the Balmer series is λ. The shortest wavelength in the Brackett series is:
The position-time (x-t) graph for positive acceleration is:
The EM wave with the shortest wavelength among the following is: