The driver of a car travelling with speed $$30 \mathrm{~ms}^{-1}$$ towards a hill sounds a horn of frequency $$600 \mathrm{~Hz}$$. If the velocity of sound in air is $$330 \mathrm{~ms}^{-1}$$, the frequency of reflected sound as heard by driver is :
An interference pattern is observed by Young’s double slit experiment. If now the separation between coherent source is halved and the distance of screen from coherent sources
Two capacitors $$C$$ and $$\frac{C}{2}$$ are connected to a battery of $$V$$ volts, as shown below
The work done in charging both the capacitors fully is
A series R-C circuit is connected to AC voltage source. Consider two cases; (A) When C is without a dielectric medium and (B) When C is filled with dielectric of constant 4. The current I$$_R$$ through the resistor and voltage V$$_C$$ across the capacitor are compared in two cases.