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A spring of force constant of 400 N/m is loaded with a mass of 0.25 kg. The amplitude of oscillations is 4 cm. When mass comes to the equilibrium position. Its velocity is ______.
Concept: undefined >> undefined
A series L-C-R circuit is connected to a source of alternating emf of 50 V and the potential difference across inductor and capacitor is 90 V and 60 V, respectively. The potential difference across the resistor is ______.
Concept: undefined >> undefined
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A particle of mass 5 kg moves in a circle of radius 20 cm. Its linear speed at a time t is given by v = 4t, t is in the second and v is in ms-1. Find the net force acting on the particle at t = 0.5 s.
Concept: undefined >> undefined
The readings of the ammeter and voltmeter in the given circuit are respectively.
Concept: undefined >> undefined
Let Ee and Ep represent the kinetic energy of electron and photon, respectively. If the de-Broglie wavelength λp of a photon is twice the de-Broglie wavelength λe of an electron, then `E_p/E_e` is ______.
(speed of electron = `c/100`, c = velocity of light)
Concept: undefined >> undefined
A potentiometer wire AB having length L and resistance 12r is joined to a cell D of emf ε and internal resistance r. A cell C having emt `ε/2` and internal resistance 3r is connected. The length AJ at which the galvanometer as shown in the figure shows no deflection is ______.
Concept: undefined >> undefined
Ultraviolet light of wavelength 300 nm and intensity 1.0 Wm−2 falls on the surface of a photosensitive material. If one percent of the incident photons produce photoelectrons, then the number of photoelectrons emitted from an area of 1.0 cm2 of the surface is nearly ______.
Concept: undefined >> undefined
An AC source of voltage V = (100 sin 100πt) V is connected to a resistor of resistance 20 Ω. The rms value of current through resistor is ______.
Concept: undefined >> undefined
The displacement of a particle of mass 3 g executing simple harmonic motion is given by Y = 3 sin (0.2 t) in SI units. The kinetic energy of the particle at a point which is at a distance equal to `1/3` of its amplitude from its mean position is ______.
Concept: undefined >> undefined
In Bohr’s atomic model, speed and time period of revolution of an electron in n = 3 level are respectively.
Concept: undefined >> undefined
A body of mass 0.5 kg travels in a straight line with velocity v = ax3/2 where a = 5 m–1/2s–1. The change in kinetic energy during its displacement from x = 0 to x = 2 m is ______.
Concept: undefined >> undefined
If a gas is compressed adiabatically:
Concept: undefined >> undefined
When monochromatic light of frequency v1 falls on a metal surface, the stopping potential required is found to be V1. If the radiation of frequency v2 is incident on the surface, the stopping potential required V2 is ______. (v2 > v1)
Concept: undefined >> undefined
In the given figure, a = 15 m/s2 represents the total acceleration of a particle moving in the clockwise direction on a circle of radius R = 2.5 m at a given instant of time. The speed of the particle is ______.

Concept: undefined >> undefined
Two wires of different materials have same length L and same diameter d. The second wire is connected at the end of the first wire and forms one single wire of double the length. This wire is subjected to stretching force F to produce the elongation l. The two wires have ______.
Concept: undefined >> undefined
When wavelength of light used in optic I instruments A and Bare 4500 Å and 6000 Å respectively, the ratio of resolving pow of A to B will be ______.
Concept: undefined >> undefined
Refractive index of the medium isµ and wavelength is λ, then which of the following proportionality relation is correct?
Concept: undefined >> undefined
Two parallel SHMs have equations y1 = a1 sin(ωt + 2π) and y2 = a2 sin(ωt + 4π). The amplitude of the resultant is ______
Concept: undefined >> undefined
In a p-type semiconductor, the acceptor impurity produces an energy level ______
Concept: undefined >> undefined
The number of molecules in 100 cc of gas at N.T.P. is ______ if the mass of each molecule is 4.556 x 10-25 kg and R.M.S. speed is 250 m/s.
Concept: undefined >> undefined
