For the following questions answer them individually
Due to Doppler effect, the shift in wavelength observed is $$0.1 A^\circ$$, for a star producing a wavelength $$6000 A^\circ$$. The velocity of recession of the star will be:
A metal rod of 1m length, is dropped exact vertically on to a hard metal floor. With an oscilloscope, it is determined that the impact produces a longitudinal wave of 1.2k Hz frequency. The speed of sound in the metal rod is :
The angular momentum of a rigid body of mass m about an axis is n times the linear momentum (P) of the body. Total kinetic energy of the rigid body is :
A parallel-plate capacitor is to be designed, using a dielectric of dielectric constant 5, so as to have a dielectric strength of $$10^9 Vm^{-1}$$. If the voltage rating of the capacitor is 12kV, the minimum area of each plate required to have a capacitance of 80 pF is :
A cyclist on a level road takes a sharp circular turn of radius 3m (g = 10 ms$$^{-2}$$). If the coefficient of static friction between the cycle tyres and the road is 0.2, at which of the following speeds will the cyclist not skid while taking the turn?
An electron moves straight inside a charged parallel plate capacitor of uniform change density $$\sigma$$ The space between the plates is filled with uniform magnetic field of intensity B, as shown in the figure. Neglecting effect of gravity, the time of straight line motion of the electron in the capacitor is :
Inside a parallel plate capacitor the electric field E varies with time as $$t^2$$. The variation of induced magnetic field with time is given by :
The volume of 1 mole of an ideal gas with the adiabatic exponent $$\gamma$$ is changed according to the relation $$V = \frac{b}{T}$$ where b = constant. The amount of heat absorbed by the gas in the process if the temperature is increased by $$\triangle T$$ will be:
Two coherent sources of intensity ratio $$\alpha$$ interfere. The value of $$\frac{I_{max} - I_{min}}{I_{max} + I_{min}}$$ is:
When the temperature of a gas is raised from $$30^\circ C$$ to $$90^\circ C$$, the percentage increase in the r.m.s velocity of the molecules will be :