Browse and search thousands of solved questions for your preparation.
Free questions with full explanations — locked behind signup to protect quality.
A small hole of an area of cross-section $2 \text{ mm}^2$ is present near the bottom of a fully filled open tank of height $2 \text{ m}$. Taking $g = 10 \text{ m/s}^2$, the rate of flow of water through the open hole would be nearly:
An infinite number of bodies, each of mass $2 \text{ kg}$ are situated on the $x$-axis at distances $1 \text{ m}, 2 \text{ m}, 4 \text{ m}, 8 \text{ m}, ......$ respectively, from the origin. The resulting gravitational potential due to this system at the origin will be:
If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is:
The variation of susceptibility ($\chi$) with absolute temperature ($T$) for a paramagnetic material is represented as:
The percentage error in the measurement of $g$ is: (Given, $g=\frac{4\pi^2L}{T^2}$, $L=(10\pm0.1)\text{ cm}$, $T=(100\pm1)\text{ s}$)
If $\theta_1$ and $\theta_2$ be the apparent angles of dip observed in two vertical planes at right angles to each other, then the true angle of dip $\theta$ is given by:
In a circus stuntman rides a motorbike in a circular track of radius $R$ in the vertical plane. The minimum speed at highest point of track will be:
In a U-tube, as shown in the figure, the water and oil are in the left side and right side of the tube respectively. The height of the water and oil columns are 15 cm and 20 cm respectively. The density of the oil is: [take ρ_water = 1000 kg/m^3]
The minimum work done in pulling up a block of wood weighing $2 \text{ kN}$ for a length of $10 \text{ m}$ on a smooth plane inclined at an angle of $15^\circ$ with the horizontal is (given $\sin 15^\circ = 0.2588$):
A man fires a bullet of mass $200 \text{ g}$ at a speed of $5 \text{ m/s}$. The gun is of one kg mass. By what velocity the gun rebounds backwards?
A U-tube with both ends open to the atmosphere is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of $10 \text{ mm}$ above the water level on the other side. Meanwhile, the water rises by $65 \text{ mm}$ from its original level (see diagram). The density of the oil is:
Which of the following statements is not true?
The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?
A magnetic needle suspended parallel to a magnetic field requires $\sqrt{3}$ J of work to turn it through $60^\circ$. The torque needed to maintain the needle in this position will be:
An iron bar of length $L$ has a magnetic moment $M$. It is bent at the middle of its length such that the two arms make an angle $60^{\circ}$ with each other. The magnetic moment of this new magnet is:
A force acts on a $30 \text{ gm}$ particle in such a way that the position of the particle as a function of time is given by $x = 3t - 4t^2 + t^3$, where $x$ is in metres and $t$ is in seconds. The work done during the first $4 \text{ seconds}$ is:
A body of mass $1\text{ kg}$ begins to move under the action of a time-dependent force $\vec{F}=(2t\hat i+3t^2\hat j)\text{ N}$, where $\hat i$ and $\hat j$ are unit vectors along the $x$ and $y$-axis. What power will be developed by the force at the time $t$?
Above Curie temperature:
Symbolic representation of four logic gates are shown. Pick out which ones are for AND, NAND and NOT gates, respectively.
When a block of mass $M$ is suspended by a long wire of length $L$, the length of the wire becomes $(L+l)$. The elastic potential energy stored in the extended wire is: