# ACT: Deep Dive Into Science Quiz.

This is an MCQ-based quiz on the topic of Deep Dive Into Science.

This set of MCQs helps you brush up on the important mathematics topic and prepare you to dive into skill practice and expand your knowledge to tackle the question and answer it carefully.

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A force F is given by F = at + bt², where t is time. What are the dimensions of a and b?

MLT^-1 and MLT^0 MLT^-3 and ML^2T^4 MLT^-4 and MLT^1 MLT^-3 and MLT^-4

The atmospheric pressure is 106 dyne/cm². What is its value in SI unit?

105 newton/m² 106 newton/m² 104 newton/m² 103 newton/m²

In a uniformly accelerated motion, the speed varies from 0 to 20 m/s in 4 s. What is the average speed during the motion?

10 m/s 20 m/s 0 m/s 15 m/s

A 180 metre long train is moving due north at a speed of 25 m/s. A small bird is flying due south, a little above the train, with a speed of 5 m/s. The time taken by the bird to cross the train is

10 s 12 s 9 s 6 s

A body starts from rest and travels with uniform acceleration of 2 m/s². If its velocity is v after making a displacement of 9 m, then v is

8 m/s 6 m/s 10 m/s 4 m/s

A body of mass m, projected at an angle of θ from the ground with an initial velocity of v, acceleration due to gravity is g, what is the maximum horizontal range covered?

R = v^2 (sin 2θ)/g R = v^2 (sin θ)/2g R = v^2 (sin 2θ)/2g R = v^2 (sin θ)/g

A ball of mass 100 g, projected at an angle of 30° from the ground with an initial velocity of 11 m/s, acceleration due to gravity is g = 10 m/s2, what is the maximum height attained?

1.5 m 3.0 m 1.0 m 2.0 m

A wooden cube having mass 10 kg is dropped from the top of a building . After 1 s, a bullet of mass 20 g fired at it from the ground hits the block with a velocity of 1000 m/s at an angle of 30° to the horizontal moving upwards and gets imbedded in the block . The velocity of the block/bullet system immediately after the collision is

17 m/s 27 m/s 52 m/s 10 m/s

When the linear momentum of a particle is increased by 1% its kinetic energy increases by x%. When the kinetic energy of the particle is increased by 300%, its linear momentum increases by y%. The ratio of y to x is

300 150 100 50

In the given figure, ball 1 has an initial velocity of 5m/s. Ball 2 is initially at rest. After collision ball 2 moves with a speed of 2m/s in the direction shown & ball 1 moves at an angle A. What is the value of angle A?

tan-1(1/3√3) sin-1(1/3√3) tan-1(1/√3) tan-1(√3)
Quiz/Test Summary
Title: ACT: Deep Dive Into Science Quiz.
Questions: 10
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