In an experiment, four quantities a,b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows:

P = , error in P is

• 14 %

• 10 %

• 7 %

• 4 %

The velocity of a projectile at the initial point A is (2 i + 3 j) m/s. Its velocity (in m/s) at point B is,

• -2 i - 3 j

• -2 i + 3 j

• 2 i - 3 j

• 2 i + 3 j

A stone falls freely under gravity. It covers distances h₁ , h₂ and h₃ in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relations between h₁, h₂ and h₃ is,

• h₁ = 2 h₂ = 3 h₃

• h₁ = 

• h₂ = 3 h₁ and h₃ = 3 h₂

• h₁ = h₂ = h₃

Three blocks will masses m, 2m and 3m are connected by strings, as shown in the figure. After an upward force F is applied on block m, the masses move upward at constant speed v. What is the net force on the block of mass 2m? (g is the acceleration due to gravity)

• zero

• 2 mg

• 3 mg

• 6 mg

The upper half of an inclined plane of the inclination  is perfectly smooth while lower half is rough. A block starting from rest at the top of the plane will again come to rest at the bottom, if the coefficient of friction between the block and lower half of the plane is given by,

• 
• 
• 
• 

C.

The block will be stationary when,

mg sin  . L =  mg cos