A big liquid drop splits into 'n' similar small drops under isothermal conditions, then in this process:
Two capacitors of capacitances \( 1\mu F \) and \( 2\mu F \) can separately withstand potentials of \( 6 \) kV and \( 4 \) kV respectively. The total potential, they together can withstand when they are connected in series is:
The temperature at which the rms speed of oxygen molecules is 75\% of the rms speed of nitrogen molecules at a temperature of \( 287^\circ C \) is:
A body is thrown vertically upwards with a velocity of 35 ms−1 from the ground.The ratio of the speeds of the body at times 3 s and 4 s of its motion is:
The electric flux due to an electric field \[ \vec{E} = (8\hat{i} + 13\hat{j}) \text{ NC}^{-1} \] through an area 3 m\(^2\) lying in the XZ plane is:
Wave picture of light has failed to explain(1) photoelectric effect(2) interference of light(3) diffraction of light(4) polarization of light
A constant force of \[ \mathbf{F} = (8\hat{i} - 2\hat{j} + 6\hat{k}) \text{ N} \] acts on a body of mass 2 kg, displacing it from \[ \mathbf{r_1} = (2\hat{i} + 3\hat{j} - 4\hat{k}) \text{ m to } \mathbf{r_2} = (4\hat{i} - 3\hat{j} + 6\hat{k}) \text{ m}. \] The work done in the process is:
In a time ‘’t", the amplitude of vibrations of a damped oscillator becomes half of its initial value, then the mechanical energy of the oscillator decreases by: