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The engine of a motorboat is switched off when its speed is v0. If motorboat experiences variable acceleration as dv/dt = −βv3, where β is a positive constant and v instantaneous speed, then the speed of motorboat after t second (t = 0 when switch is off) is
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In a photodiode, the conductivity increases when the material is exposed to light. It is found that conductivity changes only if the wavelength is less than 600 nm. What is the bandgap?
Given,
The maximum wavelength of light, which increases the conductivity, λ = 600 nm
Hence the energy of this photon must be equal to band gap (Eg).
If the magnetic dipole moment of an atom of diamagnetic material, paramagnetic material and ferromagnetic material is denoted by μd, μp and μf respectively, then
The magnetic dipole moment of a diamagnetic material is zero as each of its pair of electrons has opposite spins, i.e., μd = 0. Paramagnetic substances have dipole moment > 0, i.e., μp ≠ 0, because of the excess of electrons in its molecules spinning in the same direction.
Ferromagnetic substances are very strong magnets and they also have a permanent magnetic moment, i.e., μf ≠ 0.
Which of the following will pair up to produce stationary wave?
(1) Z1 = A cos(kx − ωt)
(2) Z2 = A cos(kx + ωt)
(3) Z3 = A cos(ky − ωt)
(4) Z4 = A cos(kz + ωt)
Stationary waves are produced by two identical waves travelling in opposite direction in same plane.
∴ for stationary wave
Z1 = A cos(kx − ωt)
Z2 = A cos(kx + ωt)
A particle is undergoing SHM. Displacement vs time curve is as shown in the figure.
The phase of a particle executing SHM is defined as the state of a particle as regard to its position and direction of motion at any instant of time. In the given curve, phase is same when t = 1 s and t = 5 s. Also phase is same when t = 2 s and t = 6 s.
Match List - I (Electromagnetic wave type) with List - II (Its association/application) and select the correct option from the choices given below the lists :
Infrared - Muscular treatment
Radio wave - Broadcasting
X Rays - To detect fracture
Uv Rays → Absorbed ozone layer
Figure shows a cyclic process ABCDBEA performed on an ideal cycle. If PA = 2 atm, PB = 5 atm and PC = 6 atm, VE – VA = 20 litre, find the work done (in KJ) by the gas in the complete process. (1 atm. pressure = 1 × 105 Pa)
In the circuit shown, the key (K) is closed at t = 0, the current through the key at the t = 10−3ln2 s; is.
If first excitation potential of a hydrogen like atom is V electron volt, then the ionization energy of this atom will be:
Let ω is the angular velocity of the earth's rotation about its own axis and acceleration due to gravity on the earth's surface at the poles is g. An object weighed by a spring balance gives the same reading at the equator, as well as at a height h above the poles (h ≪ R). What is the value of h ?
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