NDA || Math_&_Science || Weekly Revision Quiz

Evaluate  , where [.] is a greatest integer function.

If f(y) = 3y + 10 , g(y) =  , then  is equal to

Find the angle between  and .

Scalar product of  with vectors  , and  are respectively 4, 0 and 2. Find .

The modulus and principal argument of the complex number are respectively

A small ball is dropped from height 20 m. If the coefficient of restitution is 0.9 , then the height after the first collision

A drum of radius R and mass M, rolls down without slipping along an inclined plane of angle θ. The frictional force

A liquid does not wet the sides of a solid, if the angle of contact is

A gas, for which , is suddenly compressed to 1/4^th of the initial volume. Then the ratio of the final to the initial pressure is

A body is rolled on ice with a speed of 6 m/s. It comes to rest in 5 seconds. Find the coefficient of friction. ( g = 10 ms^-2)