Browse and search thousands of solved questions for your preparation.
Free questions with full explanations — locked behind signup to protect quality.
A 150 m long train is moving to north at a speed of 10 m/s. A parrot flying towards south with a speed of 5 m/s crosses the train. The time taken by the parrot to cross the train would be:
The angular speed of the seconds needle in a mechanical watch is:
In a uniform magnetic field of $0.049 \text{ T}$, a magnetic needle performs $20$ complete oscillations in $5$ seconds as shown. The moment of inertia of the needle is $9.8 \times 10^{-6} \text{ kg m}^2$. If the magnitude of magnetic moment of the needle is $x \times 10^{-5} \text{ Am}^2$, then the value of '$x$' is:
A stone tied to the end of a string of 1 m long is whirled in a horizontal circle with a constant speed. If the stone makes 22 revolutions in 44 s, what is the magnitude and direction of acceleration of the stone?
At point A on the earth's surface, the angle of dip is, $\delta=+25^\circ$. At a point B on the earth's surface, the angle of dip is, $\delta=-25^\circ$. We can interpret that:
The magnitude and direction of the current in the following circuit is
The following four wires are made of the same material. Which of them will have the largest extension when the same tension is applied?
What is the value of linear velocity if $\vec{\omega} = 3\hat{i} - 4\hat{j} + \hat{k}$ and $\vec{r} = 5\hat{i} - 6\hat{j} + 6\hat{k}$:
A ball is thrown upwards and it returns to the ground describing a parabolic path. Which of the following remains constant?
A ball is projected with velocity $v_0$ at an angle of elevation $30^{\circ}$. Mark the correct statement.
The viscous drag acting on a metal sphere of diameter $1 \text{ mm}$, falling through a fluid of viscosity $0.8 \text{ Pa-s}$ with a velocity of $2 \text{ m s}^{-1}$ is nearly equal to:
A particle is moving in a horizontal circle with constant speed. It has constant:
A boat crosses a river with a velocity of $8 \text{ km/h}$. If the resulting velocity of boat is $10 \text{ km/h}$, then the velocity of river water is:
A particle moves so that its position vector is given by $\mathbf{r} = \cos(\omega t)\hat{x} + \sin(\omega t)\hat{y}$ where $\omega$ is a constant. Based on the information given, which of the following is true?
A particle has an initial velocity $(3\hat{i} + 4\hat{j})$ and an acceleration $(0.4\hat{i} + 0.3\hat{j})$. Its speed after $10 \text{ s}$ is:
The angular speed of a flywheel making 120 revolutions/minute is:
The figure shows a body of mass $m$ moving with a uniform speed $v$ along a circle of radius $r$. The change in velocity in going from $A$ to $B$ is:
The stress-strain curves are drawn for two different materials $X$ and $Y$. It is observed that the ultimate strength point and the fracture point are close to each other for material $X$ but are far apart for material $Y$. We can say that the materials $X$ and $Y$ are likely to be (respectively):
A particle moves in a circle of radius 5 cm with constant speed and time period 0.2π s. The acceleration of the particle is:
The velocity of a projectile at the initial point A is $(2\hat{i} + 3\hat{j}) \text{ m/s}$. Its velocity (in m/s) at the point B (landing point on the same horizontal plane) is: