A proton and an $$\alpha$$-particle are accelerated from rest by $$2\mathrm{V}$$ and $$4\mathrm{V}$$ potentials, respectively. The ratio of their de-Broglie wavelength is :

The ratio of the de-Broglie wavelengths of proton and electron having same Kinetic energy : (Assume $$m_p=m_e\times 1849$$ )

A metallic surface is illuminated with radiation of wavelength $$\lambda$$, the stopping potential is $$V_0$$. If the same surface is illuminated with radiation of wavelength $$2\lambda$$. the stopping potential becomes $$\frac{V_o}{4}$$. The threshold wavelength for this metallic surface will be

The variation of stopping potential $$\left({\mathrm{V}}_0\right)$$ as a function of the frequency $$(v)$$ of the incident light for a metal is shown in figure. The work function of the surface is

The de Broglie wavelength of a molecule in a gas at room temperature (300 K) is $${\lambda }_1$$. If the temperature of the gas is increased to 600 K, then the de Broglie wavelength of the same gas molecule becomes

In photo electric effect A. The photocurrent is proportional to the intensity of the incident radiation B. Maximum Kinetic energy with which photoelectrons are emitted depends on the intensity of incident light. C. Max. K.E with which photoelectrons are emitted depends on the frequency of incident light. D. The emission of photoelectrons require a minimum threshold intensity of incident radiation. E. Max. K.E of the photoelectrons is independent of the frequency of the incident light. Choose the correct answer from the options given below:

Proton $$(\mathrm{P})$$ and electron (e) will have same de-Broglie wavelength when the ratio of their momentum is (assume, $${\mathrm{m}}_{\mathrm{p}}=1849{\mathrm{m}}_{\mathrm{e}}$$ ):

The kinetic energy of an electron, $$\alpha$$-particle and a proton are given as $$4\mathrm{K},2\mathrm{K}$$ and $$\mathrm{K}$$ respectively. The de-Broglie wavelength associated with electron $$(\lambda \mathrm{e}),\alpha$$-particle $$((\lambda \alpha )$$ and the proton $$(\lambda p)$$ are as follows:

The work functions of Aluminium and Gold are $$4.1\mathrm{eV}$$ and and $$5.1\mathrm{eV}$$ respectively. The ratio of the slope of the stopping potential versus frequency plot for Gold to that of Aluminium is

A bar magnet with a magnetic moment $$5.0{\mathrm{Am}}^2$$ is placed in parallel position relative to a magnetic field of $$0.4\mathrm{T}$$. The amount of required work done in turning the magnet from parallel to antiparallel position relative to the field direction is _____________.

A solenoid of 1200 turns is wound uniformly in a single layer on a glass tube 2 m long and 0.2 m in diameter. The magnetic intensity at the center of the solenoid when a current of 2 A flows through it is :

Given below are two statements: Statement I : The diamagnetic property depends on temperature. Statement II : The induced magnetic dipole moment in a diamagnetic sample is always opposite to the magnetizing field. In the light of given statements, choose the correct answer from the options given below.

The free space inside a current carrying toroid is filled with a material of susceptibility $$2\times 10^{-2}$$. The percentage increase in the value of magnetic field inside the toroid will be

A bar magnet is released from rest along the axis of a very long vertical copper tube. After some time the magnet will

Given below are two statements: Statement I : For diamagnetic substance, $$-1 $\le$ \chi Statement II : Diamagnetic substances when placed in an external magnetic field, tend to move from stronger to weaker part of the field. In the light of the above statements, choose the correct answer from the options given below

Given below are two statements: one is labelled as Assertion $$\mathbf{A}$$ and the other is labelled as Reason $$\mathbf{R}$$ Assertion A : Electromagnets are made of soft iron. Reason R : Soft iron has high permeability and low retentivity. In the light of above, statements, choose the most appropriate answer from the options given below.

The escape velocities of two planets $$\mathrm{A}$$ and $$\mathrm{B}$$ are in the ratio $$1:2$$. If the ratio of their radii respectively is $$1:3$$, then the ratio of acceleration due to gravity of planet A to the acceleration of gravity of planet B will be :

For a body projected at an angle with the horizontal from the ground, choose the correct statement.

A body weight $\mathrm{W}$, is projected vertically upwards from earth's surface to reach a height above the earth which is equal to nine times the radius of earth. The weight of the body at that height will be :

If earth has a mass nine times and radius twice to that of a planet P. Then $$\frac{v_e}{3}\sqrt{x}{\mathrm{ms}}^{-1}$$ will be the minimum velocity required by a rocket to pull out of gravitational force of $$\mathrm{P}$$, where $$v_e$$ is escape velocity on earth. The value of $$x$$ is