NEET Questions

A ball is thrown vertically upwards. Which of the following graphs best represents the variation of its kinetic energy with height?

A particle starts from rest and moves with a varying acceleration as shown in the graph. If the particle's velocity at $t=4$ s is $v$, its velocity at $t=8$ s will be:

If the speed of light (c), Planck's constant (h), and gravitational constant (G) are chosen as fundamental units, then the dimension of time is:

Rain is falling vertically downwards with a velocity $v_R$. A man walks with a velocity $v_M$. What is the angle with the vertical at which the man should hold his umbrella to protect himself from the rain?

A boat is moving with velocity $3\hat{i}+4\hat{j}$ with respect to ground. The water in the river is flowing with a velocity $-3\hat{i}-4\hat{j}$ with respect to ground. The relative velocity of the boat with respect to water is:

Two blocks of masses $m_1$ and $m_2$ are connected by a massless string passing over a smooth pulley. The coefficient of kinetic friction between $m_1$ and the horizontal surface is $\mu_k$. If $m_2$ is descending with a constant acceleration $a$, what is the tension in the string?

A block of mass $m$ is placed on a rough rotating disc at a distance $r$ from the center. The coefficient of static friction is $\mu_s$. What is the maximum angular speed $\omega$ for which the block will not slip?

A block of mass $m$ is placed on a horizontal rotating disc at a distance $r$ from the center. The coefficient of static friction between the block and the disc is $\mu_s$. What is the maximum angular velocity of the disc so that the block does not slide?

A particle is subjected to a force $F = (3x^2 - 2x + 1)\hat{i}$ N, where $x$ is in meters. What is the work done by this force in moving the particle from $x = 0$ to $x = 2$ m?

The radius of a sphere is measured to be (5.3 ± 0.1) cm. The percentage error in the measurement of its volume is closest to: