Physics

The following logic gate is equivalent to:

Calculate the time interval between 33% decay and 67% decay if half-life of a substance is 20 minutes.

Calculate the value of mean free path (λ) for oxygen molecules at temperature 27° C and pressure 1.01*10⁵ Pa. Assume the molecular diameter 0.3 nm and the gas is ideal. (k = 1.38 x 10⁻²³ JK⁻¹)

The magnetic field in a region is given by B = B₀(x/a)k. A square loop of side d is placed with its edges along the x and y axes. The loop is moved with a constant velocity v = v₀i. The emf induced in the loop is:

In order to determine the young's modulus of a wire of radius 0.2 cm (measured using a scale of least count = 0.001 cm) and length 1m (measured using a scale of least count = 1 mm), a weight of mass 1 kg (measured using a scale of least count = 1g) was hanged to get the elongation of 0.5 cm (measured using a scale of least count 0.001 cm.) What will be the fractional error in the value of young's modulus determined by this experiment?

A mosquito is moving with a velocity v = 0.5t² i + 3t j + 9 k m/s and accelerating in uniform conditions. What will be the direction of mosquito after 2s?

For changing the capacitance of a given parallel plate capacitor, a dielectric material of dielectricconstant K is used, which has the same area as the plates of the capacitor. The thickness of the dielectric slab is 3d/4 , where 'd' is the separation between the plates of parallel plate capacitor. The new capacitance (C') in terms of original capacitance (C0) is given by the following relation:

The velocity- displacement graph describing the motion of abicycle is shown in the figure. The acceleration displacement graph of the bicycle's motion is best described by:

Four equal masses, m each are placed at the corners of a square of length l as shown in the figure. The moment of inertia of the system about an axis passing through A and parallel to DB would be :

The Kα - X ray of molybdenum has wavelength 0.071 nm. If the energy of a molybdenum atom with a K electron knocked out is 27.5 keV, the energy of this atom when an L electron is knocked out will be _____ keV. (Round off to the nearest integer)
[h = 4.14 * 10⁻¹⁵ eVs, c = 3 * 10⁸ ms⁻¹]