Browse and search thousands of solved questions for your preparation.
Free questions with full explanations — locked behind signup to protect quality.
The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe $L$ metre long. The length of the open pipe will be
If we study the vibration of a pipe open at both ends, then which of the following statements is not true:
A source of sound S emitting waves of frequency $100 \text{ Hz}$ and an observer O are located at some distance from each other. The source is moving with a speed of $19.4 \text{ ms}^{-1}$ at an angle of $60^\circ$ with the source-observer line as shown in the figure. The observer is at rest. The apparent frequency observed by the observer (velocity of sound in air $330 \text{ ms}^{-1}$), is:
A string of length $l$ is fixed at both ends and is vibrating in second harmonic. The amplitude at antinode is $2\text{ mm}$. The amplitude of a particle at a distance $l/8$ from the fixed end is:
The engine of a motorcycle can produce a maximum acceleration of $5 \text{ m/s}^2$. Its brakes can produce a maximum retardation of $10 \text{ m/s}^2$. What is the minimum time in which it can cover a distance of $1.5 \text{ km}$?
A man throws balls with the same speed vertically upwards one after the other at an interval of $2 \text{ seconds}$. What should be the speed of the throw so that more than two balls are in the sky at any time? (Given $g=9.8 \text{ m/s}^2$)
An aeroplane is flying horizontally with a velocity $u = 600\text{ km/h}$ at a height of $1960\text{ m}$. When it is vertically at a point $A$ on the ground, a bomb is released from it. The bomb strikes the ground at point $B$. The distance $AB$ is:
An object is thrown along a direction inclined at an angle of $45^\circ$ with the horizontal direction. The horizontal range of the particle is equal to:
The orbital angular momentum of a p-electron is given as:
A ball is projected with kinetic energy $E$ at an angle of $45^\circ$ to the horizontal. At the highest point during its flight, its kinetic energy will be:
A particle shows a distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point:
A small telescope has an objective of focal length $140\text{ cm}$ and an eyepiece of focal length $5.0\text{ cm}$. The magnifying power of the telescope for viewing a distant object is:
Two bodies are projected with the same velocity. If one is projected at an angle of $30^{\circ}$ and the other at an angle of $60^{\circ}$ to the horizontal, the ratio of the maximum heights reached is:
Which of the following options correctly represents the lung conditions in asthma and emphysema, respectively?
The efficiency of an ideal heat engine working between the freezing point and boiling point of water, is
A car starts from rest and accelerates at $5 \text{ m/s}^2$. At $t=4 \text{ s}$, a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at $t=6 \text{ s}$? (Take $g=10 \text{ m/s}^2$)
A particle moving in a circle of radius $R$ with a uniform speed takes a time $T$ to complete one revolution. If this particle were projected with the same speed at an angle $\theta$ to the horizontal, the maximum height attained by it equals $4R$. The angle of projection, $\theta$ is then given by:
Rain is falling vertically downward with a speed of $35 \text{ m/s}$. The wind starts blowing after some time with a speed of $12 \text{ m/s}$ in the east to the west direction. The direction in which a boy standing at the place should hold his umbrella is:
A bullet is fired from a gun at the speed of $280 \text{ m s}^{-1}$ in the direction $30^{\circ}$ above the horizontal. The maximum height attained by the bullet is: ($g=9.8 \text{ m s}^{-2}, \sin 30^{\circ}=0.5$)
The correct order of increasing reactivity of the C-X bond towards nucleophile in the following compound is: [Structures Missing]