List of practice Questions

A person sitting on the top of a tall building is dropping bails at regular intervals of one second. When the 6th ball is being dropped, the positions of the 3rd, 4th, 5th balls from the top of the building are respectively
A person living in Shimla observed that cooking food without using pressure cooker takes more time. The reason for this observation is that at high altitude
A virus that causes cancer in humans is
Genomes of HIV-I and HIV-II have genes respectively
HIV commen in India, Europe and America is
A person is standing on a rotating table with metal spheres in his hands. If he withdraws his hands to his chest, then the effect on his angular velocity will be
A person has $2$ parents, $4$ grandparents, $8$ great grandparents, and so on. Find the number of his ancestors during the ten generations preceding his own.
A person in an elevator accelerating upwards with an acceleration of $2 \,m$ $s^{-2}$, tosses a coin vertically upwards with a speed of $20\, m$ $s^{-1}$. After how much time will the coin fall back into his hand? (Take$\, g=10\, m \,s^{-2}$)
The time period of oscillation of a simple pendulum is $T = 2\pi\sqrt{\frac{l}{g}}$. Measured value of $l$ is $10\, cm$ known to $1$ mm accuracy and time for $100$ oscillations of the pendulum is found to be $50 \,s$ using a wrist watch of Is resolution. What is the accuracy in the determination of $g$ ?
Which of the following is an important intermediate found in all the types of respiration ?
A particle starts moving from rest under uniform acceleration . In travels a distance 'x' in the first two second and a distance 'y' in the next two second. If y=nx, then n
A particular solution of the equation $\log\frac{dy}{dx}=3x+4y,y(0)=0$ is
A passenger in a moving train tosses a coin. If the coin falls behind him, the train must be moving with
A pathway common to both anaerobic and aerobic metabolism is
A particle reaches its highest point at an instant of covering 1/2 of range. The corresponding position on displacement-time graph is characterised by.
A particle starting from rest moves upto $20\, s$ with constant acceleration. If $S _1$ is the distance covered in first $10\, s$ and $S_2$ is the distance covered in last $10$ second, then
A particle performs uniform circular motion with an angular momentum $L$. If the frequency of particle motion is doubled and its KE is halved the angular momentum becomes
A particle of mass m is attached to three identical massless springs of spring constant k as shown in the figure. The time period of vertical oscillation of the particle is .
A particle moves with uniform velocity. Which of the following statements about the motion of the particle is true ?
A particle of charge $q$ and mass $m$ is projected with a velocity $v_{0}$ towards a circular region having uniform Magnetic field $B$ perpendicular and into the plane of paper, from point $P$ as shown in figure. $R$ is the radius and $O$ is the centre of the circular region. If the line $OP$ makes an angle $\theta$ with the direction of $v_{0}$ then the value of $v_{0}$ so that particle passes through $O$ is
A particle moves rectilinearly. Its displacement $x$ at time $t$ is given by $x^2 = at^2 + b$ where $a$ and $b$ are constants. Its acceleration at time $t$ is proportional to
A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement $x$ is proportional to
A particle moves in xy plane according to the law x = 4sin6t and y = 4(1 - cos6t). The distance traversed by the particle in 4 s is (x and y are in metres)
A particle moves along the curve $6y = x^3 + 2$. The point $?P?$ on the curve at which the y-coordinate is changing 8 times as fast as the x-coordinate, are $(4, 11)$ and $\left(-4, -\frac{31}{3}\right).$
A particle is projected with velocity $u$ inclined at an angle $\alpha$ with $x-axis$. Change in velocity of the particle on return to ground is