Browse and search thousands of solved questions for your preparation.
Free questions with full explanations — locked behind signup to protect quality.
A body of $5 \text{ kg}$ is moving with a velocity of $20 \text{ m/s}$. If a force of $100 \text{ N}$ is applied on it for $10 \text{ sec}$ in the same direction as its velocity, what will now be the velocity of the body?
A block of mass $10 \text{ kg}$ is in contact with the inner wall of a hollow cylindrical drum of radius $1 \text{ m}$. The coefficient of friction between the block and the inner wall of the cylinder is $0.1$. The minimum angular velocity needed for the cylinder, which is vertical and rotating about its axis, will be: ($g=10 \text{ m/s}^2$)
In which of the following cases, a force will not be required to keep the particle in the given motion?
The tension in the string revolving in a vertical circle with a mass $m$ at the end which is at the lowest position is:
A block of mass $m$ is placed on a smooth wedge of inclination $\theta$. The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block ($g$ is acceleration due to gravity) will be:
A body of mass $2 \text{ kg}$ has an initial velocity of $3 \text{ m/s}$ along $OE$ and it is subjected to a force of $4 \text{ N}$ in a direction perpendicular to $OE$. The distance of the body from $O$ after $4 \text{ seconds}$ will be:
With what minimum acceleration can a fireman slide down a rope while the breaking strength of the rope is $\frac{2}{3}$ of his weight?
Calculate the maximum acceleration of a moving car so that a body lying on the floor of the car remains stationary. The coefficient of static friction between the body and the floor is $0.15$. (take $g=10 \text{ m s}^{-2}$)
Consider a simple circuit shown in the figure. R' stands for variable resistance. R' can vary from R₀ to infinity. r is the internal resistance of the battery (r<<R<<R₀). (a) Potential drop across AB is nearly constant as R' is varied. (b) Current through R' is nearly constant as R' is varied. (c) Current I depends sensitively on R'. (d) I ≥ V/(r+R) always. Which among the following statements is correct?
A man is standing on a spring platform. Reading of spring balance is 60 kg-wt. If the man jumps off the platform, then the reading of the spring balance:
A mass is supported on a frictionless horizontal surface. It is attached to a string and rotates about a fixed centre at an angular velocity $\omega_0$. If the length of the string and angular velocity are doubled, the tension in the string which was initially $T_0$ is now:
According to the kinetic theory of gases, at absolute zero temperature:
In the above diagram, the acceleration of the car will be:
A (Predominantly) is:
When a torque acting upon a system is zero, then which of the following will be constant?
A ball of mass 0.25 kg attached to the end of a string of length 1.96 m is moving in a horizontal circle. The string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved?
A bob is whirled in a horizontal plane by means of a string with an initial speed of $\omega$ rpm. The tension in the string is $T$. If speed becomes $2\omega$ while keeping the same radius, the tension in the string becomes:
For irreversible expansion of an ideal gas under isothermal condition, the correct option is:
A motor cyclist moving with a velocity of $72 \text{ km/hour}$ on a flat road takes a turn on the road at a point where the radius of curvature of the road is $20 \text{ meters}$. The acceleration due to gravity is $10 \text{ m/sec}^2$. In order to avoid skidding, he must not bend with respect to the vertical plane by an angle greater than:
The correct order of increasing C-X bond reactivity toward nucleophiles among the following is: I. [Missing] II. [Missing] III. $(\text{CH}_3)_3\text{C-X}$ IV. $(\text{CH}_3)_2\text{CH-X}$