If $ V_1 $ is the velocity of a body projected from point A and $ V_2 $ is the velocity of a body projected from point B, which is vertically below the highest point C, and if both the bodies collide, then:

For the circuit shown in the figure, the current through the inductor is $ 0.9A $ while the current through the condenser is $ 0.4A $. Then:

The P-V diagram of a diatomic ideal gas system undergoing a cyclic process is shown in the figure. The work done during the adiabatic process $ CD $ is (Use $ \gamma = 1.4 $):

A and B are two metals with threshold frequencies $ 1.8 \times 10^{14} $ Hz and $ 2.2 \times 10^{14} $ Hz. Two identical photons of energy $ 0.825 $ eV each are incident on them. Then photoelectrons are emitted in (Take $ h = 6.6 \times 10^{-34} $ Js):

With neat labelled circuit diagram, describe an experiment to study the characteristics of the photoelectric effect.

A radioactive material is reduced to $ \frac{1}{8} $ of its original amount in 3 days. If $ 8 \times 10^{-3} $ kg of the material is left after 5 days, what was the initial amount of the material?

Which of the following Maxwell's equations is valid for time varying conditions but not valid for static conditions:

Which of the following fields has non-zero curl ?

Explain the working of n-p-n transistor in common base configuration.

The ratio of the magnitudes of electric field to the magnetic field of an electromagnetic wave is of the order of

A particle of mass $ m $ moving with velocity $ v $ collides with a stationary particle of mass $ 2m $. After the collision, they stick together and continue to move with velocity:

A bicycle tire is filled with air at a pressure of $ 270 $ kPa at $ 27^\circ C $. What is the approximate pressure of the air in the tire when the temperature increases to $ 36^\circ C $?

An object moves with speed $ v_1 $, $ v_2 $, and $ v_3 $ along a line segment $ AB $, $ BC $, and $ CD $ respectively as shown in the figure. Where $ AB = BC $ and $ AD = 3 AB $, then the average speed of the object will be:

A proton ($ p $) and an electron ($ e $) will have the same de-Broglie wavelength when the ratio of their momenta is
(Assume $ m_p = 1849 m_e $):

The energy levels of an atom are shown in the figure. Which one of these transitions will result in the emission of a photon of wavelength 124.1 nm? Given $ h = 6.62 \times 10^{-34} $ Js.

In a Young's double slit experiment, the intensities at two points, for the path difference $ \frac{\lambda}{4} $ and $ \frac{\lambda}{3} $ ($ \lambda $ being the wavelength of light used) are $ I_1 $ and $ I_2 $ respectively. If $ I_0 $ denotes the intensity produced by each one of the individual slits, then $ \frac{I_1 + I_2}{I_0} $ is equal to: