When an α particle of mass 'm' moving with velocity v bombards on a heavy nucleus of charge "Ze", its distance of closest approach from the nucleus depends on m as:
The angle of incidence for a ray of light at a refracting surface of a prism is 45°. The angle of prism is 60°. If the ray suffers minimum deviation through the prism, the angle of minimum deviation and refractive index of the material of the prism respectively, are:
A particle moves so that its position vector is given by r=cosωtx̂+sinωtŷ,where ω is a constant.Which of the following is true ?
A potentiometer wire is 100 cm long and a constant potential difference is maintained across it. Two cells are connected in series first to support one another and then in opposite direction. The balance points are obtained at 50 cm and 10 cm from the positive end of the wire in the two cases. The ratio of emf's is :
What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that it can complete the loop?
A astronomical telescope has objective and eyepiece of focal lengths 40 cm and 4 cm respectively. To view an object 200 cm away from the objective, the lenses must be separated by a distance:
To get output 1 for the following circuit, the correct choice for the input is-
A piece of ice falls from a height h so that it melts completely. Only one-quarter of the heat produced is absorbed by the ice and all energy of ice gets converted into heat during its fall. The value of h is:
[Latent heat of ice is 3.4 x 10⁵ J/kg and g = 10 N/kg]
The ratio of escape velocity at earth (Ve) to the escape velocity at a planet (Vp) whose radius and mean density are twice as that of earth is :
If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is :
Given the value of Rydberg constant is 10⁷m-¹, the wave number of the last line of the Balmer series in hydrogen spectrum will be:
2 out of 3
An inductor 20 mH, a capacitor 50µF and a resistor 40Ω are connected in series across a source of emf V= 10 sin 340 t. The power loss in A.C. circuit is :
The molar solubility of CaF2 (Ksp=5.3x10-¹¹) in 0.1 M solution of NaF will be
The oxidation state of Cr in CrO6 is-
Which of the following statements is correct regarding a solution of two compounds A and B exhibiting positive deviation from ideal behaviour?
In water saturated air the mole fraction of water vapour is 0.02 If the total pressure of the saturated air is 1.2 atm, the partial pressure of dry air is-
Orbital having 3 angular nodes and 3 total nodes is:
In hydrogen atom, the de Broglie wavelength of an electron in the second Bohr orbit Is: (Given that Bohr radius, a0=52.9pm)
The volume occupied by 1.8 g of water vapour at 374° C and 1bar pressure will be:- (Use R=0.083 bar L K-¹mol-¹)
Among the following, the one that is not a green house gas is :
An ideal gas expands isothermally from 10-³m³ to 10-²m³ at 300 K against a constant pressure of 10⁵ Nm-² The work done on the gas is:
Under isothermal condition, a gas at 300 K expands from 0.1L to 0.25L against a constant external pressure of 2 bar. The work done by the gas is: ( Given that 1L bar=100 J)
The number of moles of hydrogen molecules required to produce 20 moles of ammonia through Haber's process is:
The number of sigma (σ) and pi (π) bonds in pent-2-en-4-yne is:
3 out of 3
Which of the following diatomic molecular species has only π bonds according to Molecular Orbital Theory?