Tag: science & technology

The maximum height (H) reached by a projectile thrown vertically upward with initial velocity u is given by H = u²/(2g), where g is acceleration due to gravity. This formula is derived from the kinematic equation v² = u² - 2gH, setting final velocity v = 0 at the maximum height. The formula given in the question (SquareOf(u)/2*g) correctly represents this relationship.

Farad (F) is the SI unit of capacitance, named after Michael Faraday. Capacitance is defined as the ability of a capacitor to store charge per unit voltage. Henry is the unit of inductance, Ohm is the unit of resistance, and Newton is the unit of force - none of these measure capacitance.

The gravitational potential energy of a body of mass m at height h above ground level is given by PE = mgh, where g is acceleration due to gravity. This formula represents the work done against gravity to raise the mass to height h. Option A (mg) is weight, option B (m) is just mass, and option C (g) is just gravitational acceleration - none of these are energy.

In a series circuit, the total voltage is divided across the resistors in proportion to their resistance values (Voltage Division Rule). A resistor with higher resistance will have a larger voltage drop across it. This is because the same current flows through all components in series, and V = IR for each resistor.

When walking, the frictional force acts in the forward direction on the foot that is in contact with the ground. Your back foot pushes backward against the ground, and by Newton's third law, friction pushes forward on that foot, propelling you forward. Without this forward friction, walking would be impossible as your foot would just slip backward.

Smoking is a major cause of multiple types of cancer. All the options listed are scientifically established cancer types caused by tobacco use: acute myeloid leukemia (blood cancer), bladder cancer, cervical cancer, esophageal cancer, kidney cancer, lung cancer, stomach cancer, uterine cancer, and oral cavity cancer. The Surgeon General's report and WHO recognize these causal links.