In order to solve this problem, we need to analyze both statements individually and assess their accuracy based on fundamental concepts in physics:
Statement I: Atoms are electrically neutral as they contain an equal number of positive and negative charges.
This statement is correct. An atom comprises protons, which are positively charged, and electrons, which are negatively charged. In a neutral atom, the number of protons equals the number of electrons, resulting in no net charge.
Statement II: Atoms of each element are stable and emit their characteristic spectrum.
This statement is incorrect. While atoms do emit a characteristic spectrum, they are not inherently stable. Stability varies among atoms; some are stable while others may be radioactive. The emission of characteristic spectra is often due to electrons moving between energy levels, not because atoms themselves are stable.
After evaluating both statements, we conclude: Statement I is correct but Statement II is incorrect.
A constant voltage of 50 V is maintained between the points A and B of the circuit shown in the figure. The current through the branch CD of the circuit is :
A bob of heavy mass \(m\) is suspended by a light string of length \(l\). The bob is given a horizontal velocity \(v_0\) as shown in figure. If the string gets slack at some point P making an angle \( \theta \) from the horizontal, the ratio of the speed \(v\) of the bob at point P to its initial speed \(v_0\) is :
Consider a water tank shown in the figure. It has one wall at \(x = L\) and can be taken to be very wide in the z direction. When filled with a liquid of surface tension \(S\) and density \( \rho \), the liquid surface makes angle \( \theta_0 \) (\( \theta_0 < < 1 \)) with the x-axis at \(x = L\). If \(y(x)\) is the height of the surface then the equation for \(y(x)\) is: (take \(g\) as the acceleration due to gravity)