Water from a tap emerges vertically downwards with an initial speed of 1.0 m/ sec. The crosssectional area of tap is 10^{4}m^{2}. Assume that the pressure is constant throughout the stream of water and that the flow is steady, the crosssectional area of stream 0.15 m below the tap is :
A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at 300K. The ratio of the average rotational kinetic energy per O_{2} molecule to Per N_{2} molecule is :
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Two particles each of mass m and charge q, are attached to the two ends of a light rigid rod of length 2R. The rod is rotated at constant angular speed about a perpendicular axis passing through its centre. The ratio of the magnitude of the magnetic moment of the system and its angular momentum about the centre of the rod is
Two identical containers A and B with frictionless pistons contain the same ideal gas at the same temperature and the same volume V. The mass of the gas in A is M_{A} and that in B is M_{B}. The gas in each cylinder is now allowed to expand isothermally to the same final volume 2V. The changes in the pressure in A and B are found to be M_{A}Δ P and 1.5 M_{B}Δ P respectively. Then
A particle executing S.H.M. in a straight line has velocities 8, 7, 4 at three points distant one foot from each other. The maximum velocity of the particle will be
If A denotes the area of free surface of a liquid and h is the depth of an orifice of area of crosssection a below the liquid surface then the velocity u of flow through the orifice is given by
A particle of mass 500 gm is at rest in the stationary reference frame. The motion of the particle with respect to reference frame rotating with an angular velocity 10π rad/sec^{2} is.
PV diagram of n moles of ideal gas is as shown in figure. The maximum temperature between A and B is.
The halflife period of a radioactive element X is same as the mean lifetime of another radioactive element Y. Initially, both of them have the same number of atoms. Then:
Liquid oxygen at 50 K is heated to 300 K at constant pressure of 1 atm. The rate of heating in constant which of the following graphs represents the variation of temperature with time?
Consider three identical infinite straight wires A, B and C arranged in parallel on a plane as shown in the figure. The wires carry currents as shown in figure and have mass per unit length m. If the wires Aand C are held fixed and the wire B is displaced by a small distance x from its position, then it (B) will execute simple harmonic motion with a time period 
A thin conducting wire is bent into a circular loop of radius r and placed in a time dependent magnetic field of magnetic induction
Such that, the plane of the loop is perpendicular to Then the induced emf in the loop is
Which one of the following curves gives the solution of the different at equation where k_{1}, k_{2 }and k_{3}, are positive constant with initial conditions x = 0 and t = 0 ?
A particle is in normalized state ψ > which is a super position of the energy eigen states E_{0} = 10eV > and E_{1} = 30eV >. The average value of energy of the particle in the state  ψ > is 20eV. The state  ψ > is given by
Two beams A and B of plane polarized light with mutually perpendicular planes of polarization are seen through a polaroid. From the position when the beam A has maximum intensity (and Beam B has zero intensity) a rotation of polaroid through 60° makes the two beams appear equally bright. If the initial intensities of the two beams are l_{A} and l_{B} respectively, then equals
There are three sources of sound of equal intensity with frequencies 400, 401, and 402 vib/sec. The number of beats per second is
A wire of 9.8 *10^{3} kg n^{1} passes over a frictionless light pulley fixed on the top of a frictionless inclined plane which makes an angle of 30° with the horizontal. Masses m and M are tied at the two ends of wire such that m rests on the plane and M hangs freely vertically downwards. The entire system is in equilibrium and a transverse wave propagates along the wire with a velocity of 100 m/sec. Then the mass
In a test experiment on an aeroplane model in a wind tunnel flow, the speeds the air on the upper and lower surfaces of the wings are 70 m/sec and 63 m/sec respectively. If the area of the wings is 2.5 m^{2}. then find the up thrust on the wings .
If the wave function ψ = X e ^{mωx2 /2ℏ }and potential is defined as v = 1/2mω^{2}x^{2} . Find out the eigen energy value of the particle.
If the opamp in the figure ; is ideal then V_{0 }is :
For a BJT, the current amplification factor “ a = 0.9” . This transistor is connected in CE configuration. When the base current changes by 0.4 mA, the change in collector current will be :
Assuming human pupil to have a radius of 0.25 cm and a comfortable viewing distance of 25 cm , the minimum separation between two objects that human eye can resolve at 500 nm wavelength is
In the diagram of the space charge across a pn junction as shown ; the region X has :
For the three  particle system as shown is figure. Find the rotational interia about an axis perpendicular to the x  y plane and passing through the centre of mass of the system.
Figure shown a horizontal solenoid connected to a battery and a switch. A copper ring is placed on a frictionless, the axis of the ring being along the axis of the solenoid. As the switch is closed, the ring will :
In the circuit shown in figure initially the switch is in position ‘1’ for a long time, then suddenly at t = 0, the switch is shifted to position ‘2’. It is required that a constant current should flow in the circuit, the value of Resistance ‘R’ in the circuit :
In the circuit shown in figure L = 20 H, R = 15Ω, E = 15V, the switch ‘s’ is closed at t = 0. At t = 4 sec. The current in the circuit is : 
Two waves travel in the same direction along a string and interface. The waves have the same wavelength and travel with the same speed. The amplitude of each wave is 9.7 mm , and there is a phase difference of 110° between them. What is the amplitude of the combined wave resulting from the interface of the two waves ?
Consider the following statement associated with phase transition. Which of the statement(s) is/are correct ?
Consider the following statement associated with quantum mechanical Simple harmonic oscillator. Which of the following statement(s) is/are correct ?
Consider the following statement about quantization of angular momentum, then select the correct statement(s):
Consider the following statements when a steel ball hits a clay chunk in air and gets embedded in it, then which of the following statement(s) is/are correct ?
The torque on a body about a given point is found to be equal to where is a constant vector and is the angular momentum of the body about the point from this it follow that.
Two blocks A and B each of mass m are connected by massless spring of natural length L and spring constant K. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length as shown in figure. A third identical block C also of mass m moves on the floor with a speed V along the line joining A and B and collides with A. Then
Consider the shunt regulator circuit shown in figure with R_{s}. = 0.75 kΩ . R_{l} = 1 KΩ, V_{s}= 15V zener breakdown voltage (V_{z}) = 9V, rated power of zener diode P_{zen} = 25 mW, then
A particle of mass ‘m’ & charge  q is projected with a horizontal speed v into an electric field of intensity ‘E’ directed downward. The following statements are given ; Mark the one which is correct: 
Two protons move parallel to the xaxis in opposite direction with same speed v (<c) At the instant, then which of the following is/are not the ratio of magnetic force to electric force on the upper proton ?
A uniform solid cylinder is released on a horizontal surface with speed 15 m/ sec without any rotation (slipping without rolling). The cylinder eventually starts rolling without slipping. If the mass and radius of the cylinder are 100 gm and 10 cm respectively, the final linear velocity of the cylinder is _____ m/sec.
Let If is a vector such that and the angle between
A hydrogen like atom of atomic number z is in an excited state of quantum number 2n. It can emit a maximum energy photon of 204 eV. If it makes a transition to quantum state n, a photon of energy 40.8 is emitted. The minimum energy (in eV) that can be emitted by this atom during de  excitation i s _____.(upto two decimal places)
Two moles of an ideal monoatomic gas is taken through a cycle ABCA as shown in the PT diagram. During the process AB, pressure and temperature of gas vary such that PT=constant. If T1 = 300 K. The work done on the gas in the process Ab i s ____
A body of mass 2 k.g. moves under the influence of a central force, with a potential energy function V(r) = Joule, where r is the radius of circular orbit, and r = 5 m. (Given e^{3} ≈ 20). Find its total energy E. (in the unit of mJ)
The value of where and s is the surface of the cube
An ice cube of mass 0.1 kg at 0°C is placed in an isolated container which is at 227° C. The specific heat S of the container varies with temperature T according to the container to the empirical relation S = A + BT, where A = 100 cal/kg.k and B = 2 x 10 2 cal/kg.k2. If the final temperature of the container is 27° C. Then the mass of the container is ______ kg.
[Latent heat of fusion for water = 8 x 104 cal/kg. specific heat of water = 103 cal/ kg.k ]
Give answer upto to 1decimal
A 100 Ω resistor, a 100 μF capacitor and a .01 H inductor are connected in series to an a.c. source operating at an angular frequency ω. The a.c. source is operated at a peak voltage of 200 V and a frequency equal to half the resonance frequency of the circuit. Find the peak value of the current in the circuit.
Given that the work function of a metal is 5eV and the photons of 7.5eV are incident on it, the maximum velocity of emitted electrons is approximately_________ x 10^{9} m/sec.
If the normalized wavefunction for a particle in a one dimensional box is given by ψ(x) = A(1 x^{2}) for 1 ≤x ≤1 then the value of A^{2} is _______ .
(Give the answer upto 4 decimal).
A train moves towards a stationary observer with speed 34m/sec. The train sounds a whistle and its frequency registered by the observer is f_{1}, if the speed of train is reduced to 17m/sec, the frequency registered is f_{2}, if the speed of sound is 340 m/sec then the ratio f_{1}/f_{2} is ______ .
A hollow pipe of length 0.8 m is closed at one end At its open end a 0.5 m long uniform string is vibrating in its second harmonic and its resonates with the fundamental frequency of the pipe, if the wire is 50 N and the speed of sound is 320 m/sec, the mass (gm) o f the string is _______ .
The circuit diagram of a common emitter amplifier using a silicon transistor with h_{fe} = 100 is shown in the above figure. It is transistor with h_{fe} = 100 is shown in the above figure. It is operated at V_{CE} = 8V, I_{c }= 2mA ; RL = 11K Ω . In this circuit R_{3} (in K_{Ω}) will be ___________ ?
Consider the transistor Circuit shown in figure β = 50, (V_{BE})_{sat}, (V_{CE})_{sat} = 0.2V; R_{B} = 100 K Ω . Calculate the minimum value of R_{c} such that the transistor operates in the saturation region is :
(Calculate in kohm)
Assuming V_{CE,sat} = 0.2V & β = 50, the minimum base current (l_{B}) required to drive the transistor in figure to saturation is ___________ mA.
(Round off the answer upto two Decimals)
Calculate the no. of lattice points present in a primitive cell?
A Ring having Radius ‘R’ carries as charge Q = 1 C uniformly distributed over it. The magnitude of charge that should be placed at the centre of the ring such that the electric field becomes zero at a point distance ‘R’ away from the centre on the axis of the ring (in C)?
(Add answer upto two decimal Points)
A grating having 15000 lines per inch produces spectra of a mercury arc. The green line of the mercury spectrum has a wavelength of 5461 A. What is the angular separation between the firstorder green line and the secondorder green line ?
A resistor of 1KΩ and an inductor of 5mH are connected in series with a battery of emf uv through a switch. The switch is closed at time t = 0 find the current (mA) flowing the circuit at 20 μsec,
A pulse of light of duration 100 ns is absorbed completely by a small object initially at rest. Power of the pulse is 30 mV and the speed of light is C. The final momentum o f the object is in the unit o f 10 ^{17 }kg  ms^{1} is _______.
1 docs34 tests

1 docs34 tests
