Which of the following has the largest de Broglie wavelength?

A slab of side \(50 \mathrm{~cm}\) and thickness \(10 \mathrm{~cm}\) is subjected to a shearing force of \(10^5 \mathrm{~N}\) on its narrow edge. If the lower edge is riveted to the floor and upper edge is displaced by \(0.2 \mathrm{~mm}\), then shear modulus of the material of the slab is

The diameter of a flywheel is \(1 \mathrm{~m}\). It has a mass of \(20 \mathrm{~kg}\). It is rotating about its axis with a speed of 120 rotations in one minute. Its angular momentum in \(\mathrm{kg}-\mathrm{m}^2 / \mathrm{s}\) is

The electric field for an electromangetic wave in free space is \(\mathbf{E}=\mathbf{i} 30 \cos \left(k z-5 \times 10^8 t\right)\), where magnitude of \(E\) is in \(\mathrm{V} / \mathrm{m}\). The magnitude of wave vector, \(k\) is (velocity of em wave in free space \(=3 \times 10^8 \mathrm{~m} / \mathrm{s}\) )

Assertion (A) Television signals are received through sky-wave propagation.Reason (R) The ionosphere reflects electromagnetic waves of frequencies in the range ( 3- 30) \(\mathrm{MHz}\). Choose the correct option.

A cell of emf \(10 \mathrm{~V}\) and internal resistance \(3 \Omega\) is connected in parallel with another cell of emf \(7 \mathrm{~V}\) and internal resistance \(\frac{3}{5} \Omega\), such that their positive terminals are joined together and so their are negative terminals. Their positive terminals are joined with the negative terminal and their negative terminal is joined with the positive terminal of a third cell of emf \(20 \mathrm{~V}\) with internal resistance \(2 \Omega\). The combination can be replaced by a battery of emf \(E\) and internal resistance \(r\), then the values of \(E\) and \(R\) are respectively

A sonometer wire has a length of \(114 \mathrm{~cm}\), between two fixed ends. Where should two bridges be placed so as to divide the wire into three segments (in \(\mathrm{cm}\) ) whose fundamental frequencies are in the ratio \(1: 3: 4\) ?

A satellite is revolving very close to a planet of density \(\rho\). The period of revolution of satellite is

The magnetised wire of moment \(M\) and length \(l\) is bent in the form of semicircle of radius \(r\). Then its magnetic moment is

When a force \(F_1\) is applied on a metallic wire, the length of the wire is \(L_1\). If a force \(F_2\) is applied on the same wire, the length of the wire is \(L_2\). The original length of the wire \(L\) is

When a large bubble rises from the bottom of a lake to the surface, the volume of the bubble becomes 5 times its volume at the bottom of the lake. If \(\mathrm{H}\) is the atmospheric pressure expressed in terms of water column height, then the depth of the lake is (The temperature of the water in the lake is same at all points)

A semiconductor is doped with phosphorous atoms as impurity. The impurity levels created in the semiconductor are close to the

The Brewster angle for air to glass transition of light is (Refractive index of glass \(=1.5\) ).