Physics

The density of a solid metal sphere is determined by measuring its mass and its diameter. The maximum error in the density of the sphere is (x/100)%. If the relative errors in measuring the mass and the diameter are 6.0% and 1.5% respectively, the value of x is

An electron is moving along +x direction with a velocity of 6 * 10? ms?¹. It enters a region of uniform electric field of 300 V/cm pointing along +y direction. The magnitude and direction of the magnetic field set up in this region such that the electron keeps moving along the x direction will be:

An object of mass m is suspended at the end of a massless wire of length L and area of cross-selection, A. Young modulus of the material of the wire is Y. If the mass is pulled down slightly its frequency of oscillation along the vertical direction is:

Molecules of an ideal gas are known to have three translational degrees of freedom and two rotational degrees of freedom. The gas is maintained at a temperature of T. The total internal energy, U of a mole of this gas, and the value of γ (=C?/C?) are given, respectively, by:

Identify the correct output signal Y in the given combination of gates (as shown) for the given inputs A and B.

A point like object is placed at a distance of 1 m in front of convex lens of focal length 0.5 m. A plane mirror is placed at a distance of 2 m behind the lens. The position and nature of the final image formed by the system is:

You are given that Mass of ?Li = 7.0160u, Mass of ?He = 4.0026u and ¹H = 1.0079u. When 20 g of ?Li is converted into ?He by proton capture, the energy liberated, (in kWh), is [Mass of nucleon = 1GeV/c²]

A clock has a continuously moving second's hand of 0.1 m length. The average acceleration of the tip of the hand (in units of ms?²) is of the order of:

An electron, a doubly ionized helium ion (He?) and a proton are having the same kinetic energy. The relation between their respective de-Broglie wavelength λe, λHe? and λp is:

A satellite is in an elliptical orbit around a planet P. It is observed that the velocity of the satellite when it is farthest from the planet is 6 times less than that when it is closest to the planet. The ratio of distances between the satellite and the planet at closest and farthest points is: