In Young's double slit experiment light of wavelength $$500 \mathrm{~nm}$$ is used to form interference pattern. A uniform glass plate of refractive index 1.5 and thickness $$0.1 \mathrm{~mm}$$ is introduced in the path of one of the interfering beams. The number of fringes that will shift due to this is
Figure below shows a network of resistors, cells, and a capacitor at steady state.
What is the current through the resistance 4 $$\Omega$$ ?
A cricketer of height $$2.5 \mathrm{~m}$$ throws a ball at an angle of $$30^{\circ}$$ with the horizontal such that it is received by another cricketer of same height standing at a distance of $$50 \mathrm{~m}$$ from the first one. The maximum height attained by the ball is ($$\tan 30^{\circ}=0.577$$)
If an electron in a hydrogen atom jumps from the third orbit to the second orbit, it emits a photon of wavelength $$\lambda$$. When it jumps from the second to the first orbit, the corresponding wavelength of the photon will be