List of practice Questions

A car is moving in a circular path of radius 500 m with a speed of 30 $ms^{-1}$. If the speed is increasing at the rate of 2 $ms^{-2}$ the resultant acceleration will be
A car is moving on a circular level road of curvature 300 m. If the coefficient of friction is $0.3$ and acceleration due to gravity is $10\,m\, s^{-2}$, the maximum speed of the car can be
A car moving along a straight highway with speed of $126Kmh^{-1} $ is brought to a stop with in a distance of 200m. what is the retardation of the car
A car covers the first one-third of a distance x at a speed of $10\, km\, h^{-1}$, the second one-third at a speed of $20\, km\, h^{-1}$ and the last one-third at a speed of $60\, km \,h^{-1}$. Find the average speed of the car over the entire distance x.
A car drives along smooth straight level road by an engine giving constant power. The velocity is directly proportional to
A capillary tube is attached horizontally to a constant heat arrangement. If the radius of the capillary tube is increased by 10%, then the rate of flow of liquid will change nearly by
A car accelerates on a horizontal road due to the force exerted by
A capacitor acts as an infinite resistance for
A capacitor made of two circular plates each of radius $12\, cm$ and separated by $5\, mm$. The capacitor is being charged by an external source. The charging current is constant and equal to $0.15\, A$. The capacitance of the parallel plate capacitor is
A capacitor of $5\,\mu\,F$ is charged to a potential difference of 200V. If it is discharged through two resistors of 700 and 300 ohms, what is the energy dissipated in each of the two resistors ?
A calorie is a unit of heat energy and its value is $4.18\, J$ where $1 \,J = 1 \,kg\, m^2\, s^{-2}$. Suppose we use a new system of units in which unit of mass equals $\alpha\, kg$, the unit of length equals $\beta\, m$ and the unit of the time is $\gamma\, sec$. Then the value of a calorie in the new system of units is
A canon shell explodes in mid air, its total
A bus goes to station $B$ from $A$ every $\frac{1}{6}th$ of an hour. A car starts from station $B$ towards $A$ at the same instant with the velocity of bus i.e. $60 \,km h^{-1}$. If distance between $A$ and $B$ is $60\,m$ the number of buses met by car is
A cable that can support a load $W$ is cut into two equal parts. The maximum load that can be supported by either part is :
A bullet travelling horizontally looses $1/20^{th}$ of its velocity while piercing a wooden plank. Number of such planks required to stop the bullet is
A bullet of mass $40 \,g$ moving with a speed of $90\, m s^{-1}$ enters a heavy wooden block and is stopped after a distance of $60 \,cm$. The average resistive force exerted by the block on the bullet is
A bullet of mass $A$ and velocity $B$ is fired into a block of mass $C$ and sticks to it. The final velocity of system equals
At a place the angle of dip is $30^{\circ}$ . If the horizontal component of the earth?s magnetic field is $H$, then the total field intensity is
A bullet is fired with a gun from a tower horizontally with a velocity $400\, m s^{-1}$. At the same time a stone is dropped from the same tower. Then
A boy walks on a straight road from his home to a market $2.5\, km$ with a speed of $5 \,km \,h^{-1}$. Finding the market closed he instantly turns and walks back with a speed of $7.5\, km\, h^{-1}$. What is the average speed and average velocity of the boy between $t = 0$ to $t = 50\, min$ ?
A branch of physics dealing with motion without considering its causes is known as
A boy peddles a stationary bicycle the pedals of the bicycle are attached to a $200$ turn coil of area $0.10\, m^{2}$. The coil rotates at half a revolution per second and it is placed in a uniform magnetic field of $0.02 \,T$ perpendicular to the axis of rotation of the coil. The maximum voltage generated in the coil is
The following table is truth table for
A boy has $3$ library tickets and $8$ books of his interest in the library. Of these $8$, he does not want to borrow Mathematics unless Mathematics is also borrowed. In how many ways can he choose the three books to be borrowed?
A box contains $100$ bolts and $50$ nuts. It is given that $50\%$ bolts and $50\%$ nuts are rusted. Two objects are selected from the box at random. Find the probability that either both are bolts or both are rusted.