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The factor that leads to Founder effect in a population is:
The force $F$ acting on a particle of mass $m$ is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from zero to $8 \text{ s}$ is:
Two identical balls A and B having velocities of $0.5 \text{ m/s}$ and $-0.3 \text{ m/s}$ respectively collide elastically in one dimension. The velocities of B and A after the collision respectively will be:
The animal coelacanth caught in South Africa is an example of vertebrate transition from:
On a frictionless surface, a block of mass $M$ moving at speed $v$ collides elastically with another block of same mass $M$ which is initially at rest. After collision the first block moves at an angle $\theta$ to its initial direction and has a speed $v/3$. The second block's speed after the collision is:
An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass $1 \text{ kg}$ moves with a speed of $12 \text{ m s}^{-1}$ and the second part of mass $2 \text{ kg}$ moves with $8 \text{ m s}^{-1}$ speed. If the third part flies off with $4 \text{ m s}^{-1}$ speed, then its mass is:
Which of the following muscular disorders is inherited?
A uniform rope of length $L$ and mass $m_1$ hangs vertically from a rigid support. A block of mass $m_2$ is attached to the free end of the rope. A transverse pulse of wavelength $\lambda_1$ is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is $\lambda_2$. The ratio $\frac{\lambda_2}{\lambda_1}$ is:
Two cars moving in opposite directions approach each other with speed of $22 \text{ m/s}$ and $16.5 \text{ m/s}$ respectively. The driver of the first car blows a horn having a frequency $400 \text{ Hz}$. The frequency heard by the driver of the second car is [velocity of sound $340 \text{ m/s}$]
If we study the vibration of a pipe open at both ends, then the following statement is not true:
A wave travelling in the positive x-direction having maximum displacement along y-direction as $1 \text{ m}$, wavelength $2\pi \text{ m}$ and frequency of $1/\pi \text{ Hz}$ is represented by
Purines found both in DNA and RNA are
Two sources of sound placed close to each other, are emitting progressive waves given by $y_1 = 4 \sin(600\pi t)$ and $y_2 = 5 \sin(608\pi t)$. An observer located near these two sources of sound will hear
The equation of a simple harmonic wave is given by $y=3\sin\frac{\pi}{2}(50t-x)$ where $x$ and $y$ are in meters and $t$ is in seconds. The ratio of maximum particle velocity to the wave velocity is:
Among the human ancestors the brain size was more than 1000 cc in:
Two waves are represented by the equations $y_1=a\sin(\omega t+kx+0.57)\text{ m}$ and $y_2=a\cos(\omega t+kx)\text{ m}$, where $x$ is in metre and $t$ in second. The phase difference between them is:
Two particles are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, moving in opposite directions when their displacement is half of the amplitude. The mean positions of the two particles lie on a straight line perpendicular to the paths of the two particles. The phase difference is:
A tuning fork of frequency $512 \text{ Hz}$ makes $4 \text{ beats/s}$ with the vibrating strings of a piano. The beat frequency decreases to $2 \text{ beats/s}$ when the tension in the piano strings is slightly increased. The frequency of the piano string before increasing the tension was:
A wave in a string has an amplitude of $2 \text{ cm}$. The wave travels in the +ve direction of x-axis with a speed of $128 \text{ ms}^{-1}$ and it is noted that $5$ complete waves fit in $4 \text{ m}$ length of the string. The equation describing the wave is:
A solid sphere is in rolling motion. In rolling motion a body possesses translational kinetic energy ($K_t$) as well as rotational kinetic energy ($K_r$) simultaneously. The ratio $K_t : (K_t + K_r)$ for the sphere is