If the efficiency of a Carnot cycle when the hot body temperature T1 is increased by x or when the cold body temperature T2 is decreased by y will be the same. Then the relation between x and y should be
A disk of radius q/4 having a uniformly distributed charge 6C is placed in the x-y plane with its centre at A rod of length a carrying a uniformly distributed charge 8C is placed on the x-axis from Two point charges - 7C and 3C are placed at respectively. Consider a cubical surface formed by six surfaces The electric flux through this cubical surface is
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Among the following displacement versus time plots, which ones may represent an damped oscillator?
In a cubic lattice, the closed packed structure of mixed oxides of the lattice is made up of oxide ions, one eight of the tetrahedral voids are occupied by divalent ions (A2+) while one half of the octahedral voids are occupied by trivalent ions (B3+). Then What is the formula of the oxides?
An electron is moving in the positive X direction, in S frame. The relative velocity between the s and S frames is 0.8 c and the velocity of the electron is also 0. 8 c with respect to an observer in S frame. The velocity of the electron for an observer in the S frame is
The Clausis - clapeyron equation indicates that the increase of pressure increases the melting point:
If a ball is dropped from rest, it bounces from the floor repeatedly. The coefficient of restitution is 0.5 and the speed just before the first bounce is 5 m /sec. The total time taken by the ball to come to rest is
If the wave length of k∝ line silicon (z = 47) is 0.57 Å then the value of wavelength for uranium (z = 92) is
If the amplitude of a damped - oscillator becomes one - third in 2 minutes, what will be the amplitude of oscillation as compared to initial one after 6 minutes?
Cosmic ray muons generated at the top of the earth's atmosphere decay according to the radioactive decay law
where N(t) is the number of muons at time t, and T1/2 = 1.74 μs is the proper half-life of the muon. Immediately after generation, most of these muons shoot down towards the Earth's surface. Some of these muons decay on the way, but their interactions with the atmosphere is negligible.
An observer on the top of a mountain of height 3.0 km above mean sea level detects muons with the speed 0.96 cover a period of time and counts 1000 muons. The number of muons of the same speed detected by an observer at mean level in the same period of time would be
A one-dimensional box contains a particle whose ground state energy is ∈• It is observed that a small disturbance causes the particle to emit a photon of energy is ground state energy eigenvalue), after which it is stable. Just before emission, a possible state function of the particle in terms of the energy eigenstates would be
2000 neutral spinless particles are confined in a one-dimensional box of length 200 nin. At A given instant of time, if 200 of these particle have energy 4∈0 and the remaining 1800 have 225∈0, then the number of particles in the left half of the box will be approximately.
Which of the following statements is/are true for a matric A defined as:
Let (x,t) and (x’ t ’) be the coordinate systems used by the observers 0 and 0 ’ respectively. Observer O’ moves with a velocity V = βC along their common positive x - axis. If x+ = x + Ct and x- = x - Ct are the linear combinations of the coordinates, the lorentz transformation relating 0 and O’ takes the form.
Evaluate and V is the volume bounded by the cylinder z = x2 and the p la n e s x = 0 , x = 2 , y = 0 , y = 6, z = 4.
The radiation corresponding to 3→2 transition of hydrogen atom falls on a metal surface to produce photo electrons. These electrons are made to enter a magnetic field of 3 x 10-4 T. If the radius of the largest circular path followed of the metal is close to
A thin uniform rod of mass m and length I pivoted freely at its base, is allowed to fall from a verticle position. What is the angular velocity when it has turned through an angle 600?
A diffraction pattern is obtained by using a beam of red light. If the red light is replaced by blue light then:-
Springs of constants k , 2 k , 4k ,8k , ............, 2048k are connected in series. A mass ’m' is attached to one end the system is allowed to oscillate. The time period is approximately :-
The distance between an object & its real image formed by a lens is 'D'. If the magnification is 'm' the focal length of the lens is:-
In the transistor circuit shown in the figure below, collector to ground voltage is + 2 0 V. Which of the following is the probable error?
A minimum value of the Emitter bypass capacitor (C2), in given figure if the amplifier must operate over a frequency range from 5KHz to 10KHz is:-
In the given circuit, if the input A = B = 0, then what are the possible logic state of C & D respectively.
A metal crystallizes in face-centered cubic lattice with a lattice parameter of 4.20 The shortest atom to atom contact distance in the lattice is:-
The atomic radius (in cm) of an element with a body-centered cubic unit cell of volume 75.8 cm3mol-1, molecular weight 137.3 & density 3.62 gm cm-3 is
The potential difference between the points A & B of a', uniformly polarized infinite slab shown in the figure is:-
The region between two concentric right circular cylinders contain a uniform charge density ρ. Then potential V is given by:-
The interaction energy of two dipoles of moments is given by :-
When both source and observer move in the same direction with a velocity equal to half the velocity of sound. the change in frequency of the sound as detected by the observer is
An electromagnetic wave is propagating in free space in the z- direction. If the electric field is given by where ω = ck then the magnetic field is given by:-
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