BITSAT PYQs for Acceleration with Solutions: Practice BITSAT Previous Year Questions

1.

If the radius of the earth were to shrink by one per cent, its mass remaining the same, the value of \(g\) on the earth's surface would

• increase by 0.5%
• increase by 2%
• decrease by 0.5%
• decrease by 2%

2.

A body is projected vertically upwards from the surface of the earth with a velocity equal to half the escape velocity. If \(R\) is the radius of the earth, maximum height attained by the body from the surface of the earth is

• R/6
• R/3
• 2R/3
• R

3.

From the top of a tower of two stones, whose masses are in the ratio $1 : 2$ are thrown on straight up with an initial speed $u$ and the second straight down with the same speed $u$. Then neglecting air resistance :

• the heavier stone hits the ground with a higher speed
• the lighter stone hits the ground with a higher speed
• both the stones will have the same speed when they hit the ground
• the speed cannot be determined with the given data

4.

A juggler keeps on moving four balls in the air throwing the balls after intervals. When one ball leaves his hand (speed = 20ms^-1) the position of other balls (height in metre) will be (Take g = 10ms^-2)

• 10,20,10
• 15,20,15
• 5,15,20
• 5,10,20

5.

Two planets \( A \) and \( B \) have radii \( R \) and \( 1.5R \), and densities \( \rho \) and \( \frac{\rho}{2} \) respectively. The ratio of acceleration due to gravity at the surface of \( B \) to \( A \) is:

• \( 2:3 \) 
   

• \( 2:1 \)
• \( 3:4 \)
• \( 4:3 \)

6.

A particle moves in a circle of radius 2 m with a speed of 6 m/s. What is the centripetal acceleration of the particle?

• 9 m/s\(^2\)
  
• 18 m/s\(^2\)
  
• 3 m/s\(^2\)
  
• 36 m/s\(^2\)
  

7.

A body moves with uniform acceleration, then which of the following graph is correct ?