NIOS Class 12 Physics — Important Questions (Board Exams 2027)

A vector A = 4î + 5ĵ and vector D = 6î − 4ĵ. What is the value of A·D (dot product)?

Vectors C = 4î + 5ĵ and D = 6î − 4ĵ. What is the magnitude and direction of C × D?

An equation claims: Energy E = (1/2)mv² + mgh. Check which of the following statements is CORRECT regarding dimensional consistency of both terms.

A stone is thrown vertically upward with a velocity of 19.6 m s⁻¹. How long does it take to reach the maximum height? (g = 9.8 m s⁻²)

In a velocity-time (v-t) graph, the area enclosed between the curve and the time axis represents which physical quantity?

A motorcyclist decelerates uniformly from 72 km h⁻¹ to rest in 10 s. What is the distance covered during this time?

Two trolleys each of mass m are moving with velocity v and collide with three identical stationary trolleys. After collision, all five trolleys move together. What is the final velocity of the system?

A 10 kg block is pulled by a horizontal force of 30 N on a surface where the coefficient of kinetic friction μ_k = 0.2. What is the acceleration of the block? (g = 10 m/s²)

An object of mass 2 kg is moving at constant velocity of 5 m/s on a horizontal surface. Which statement correctly describes the situation according to Newton's First Law?