A charged particle of mass m and charge q is released from rest in an electric field of constant magnitude E. The kinetic energy of the particle after time t is
While finding the refractive index of a glass slab, the travelling microscope is focused on ink dot on a white paper at position 4.320 cm. When a glass slab is placed on this ink dot on paper, the microscope is raised through 1.80 cm. The thickness of glass slab of refractive index \[\frac{3}{2}\]
A galvanometer is connected as shown in figure. It has resistance of \[100\,\,\Omega \]. What should be resistance connected to it in parallel so that its deflection is reduced to half?
A square loop of wire, side length 10 cm is placed at angle of \[{{45}^{{}^\circ }}\] with a magnetic field that changes uniformly from 0.1 T to zero in 0.7 seconds. The induced current in the loop (its resistance is 1\[\,\Omega \]) is
A copper wire of length 50.0 cm and total resistance of \[1.1\times {{10}^{-2}}\Omega \] is formed into a circular loop and placed perpendicular to a uniform magnetic field that is increasing at constant rate of \[10.0\text{ }mT/s\]. At what rate is thermal energy generated in the loop?
A self-propelled vehicle of mass m whose engine delivers a constant power P has an acceleration \[a=\frac{P}{mv}\]What is the distance travelled by it (assuming no friction) to mv increase the velocity of the vehicle from \[V\,\,\,to\,\,{{\,}_{1}}{{V}_{2}}\]?
A beam of 450 nm light is incident on a metal having work function 2 eV and placed in a magnetic field B. If the most energetic electrons emitted are bent into circular arc of radius 0.2 m, find 6.
Monochromatic light of wavelengths 400 nm and 560 nm are incident simultaneously and normally on double slit apparatus whose slit separation is 0.1 mm and screen distance is 1 m. Distance between areas of total darkness will be
A vessel has 6 g of oxygen at pressure P and temperature 400 K. A small hole is made in it so that oxygen leaks out. How much oxygen leaks out if the final pressure is \[P/2\]and temperature 300 K?
A conducting circular loop of radius a and resistance R is kept on a horizontal plane. A vertical time varying magnetic field B =2t is switched on at time t = 0. Then
A)
Flow of charge per unit time from any section of the coil is constant
doneclear
B)
Total charge passed through any section between time \[t=0\,\,\,to\,\,\,t=\,\,\,2\,\,\,is\,\,\left( \frac{4\pi {{a}^{2}}}{R} \right)\]
doneclear
C)
Power generated in the coil at any time t is constant