For the following questions answer them individually
Au unpolarised light is incident at an inteiface of two dielectric media having refractive indices of 2 (incident medium) and $$2\sqrt{3}$$ (medium) respectively. To satisfy the condition that reflected and refracted rays are perpendicular to each other, the angle of incidence is ___.
Density of water at 4 °C and 20 °C are $$1000 kg/m^{3}\text{ and }998kg/m^{3}$$ respectively. The increase in internal energy of 4 kg of water when it is heated from 4 °C to 20 °C is_____ J.
(specific heat capacity of water = 4.2 J / kg. and 1 atmospheric pressure $$=10^{5}Pa$$)
Match the LIST-I with LIST-II
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Choose the correct answer from the options given below:
There are three co-centric conducting spherical shells A, B and C of radii a, b and c respectively (c > b > a) and they are charged with charge $$q_{1},q_{2}\text{ and }q_{3}$$ respectively. The potentials of the spheres A, Band C respectively, are :
A spring of force constant 15 N/m is cut into two pieces. If the ratio of their length is 1:3, then the force constant of smaller piece is __ /m.
A brass wire of length 2 m and radius l mm at 27 °C is held taut between two rigid supports. Initially it was cooled to a temperature of -43 °C creating a tension T in the wire. The temperature to which the wire has to be cooled in order to increase the tension in it to 1.4T, is ____ °C.
For the series LCR circuit connected with 220 V, 50 Hz a.c source as shown in the figure, the power factor is $$\frac{\alpha}{10}$$. The value of $$\alpha$$ is______.
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Two resistors 2Ω and 3Ω are connected in the gaps of bridge as shown in figure. The null point is obtained with the contact of jockey at some point on wire XY. When an unknown resistor is connected in parallel with 3Ω resistor, the null point is shifted by 22.5 cm toward Y. The resistance of unknown resistor is ____ Ω .
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Two electrons are moving in orbits of two hydrogen like atoms with speeds $$3\times 10^{5} m/s \text{ and } 2.5\times 10^{5} m/s$$ respectively. If the radii of these orbits are nearly same then the possible order of energy states are ____ respectively.
Match the LIST-I with LIST-II
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Choose the correct answer from the options given below:
