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The ratio of frequencies of fundamental harmonic produced by an open pipe to that of closed pipe having the same length is
In a Young's double slit experiment, a student observes $8$ fringes in a certain segment of screen when a monochromatic light of $600\text{ nm}$ wavelength is used. If the wavelength of light is changed to $400\text{ nm}$, then the number of fringes he would observe in the same region of the screen is
A parallel plate capacitor has a uniform electric field $\vec{E}$ in the space between the plates. If the distance between the plates is '$d$' and the area of each plate is '$A$', the energy stored in the capacitor is ($\varepsilon_0$ = permittivity of free space)
A particle is released from height S from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of earth and the speed of the particle at that instant are respectively
A thick current carrying cable of radius 'R' carries current 'I' uniformly distributed across its cross-section. The variation of magnetic field B(r) due to the cable with the distance 'r' from the axis of the cable is represented by
The slope of Arrhenius plot $\left( \ln k \text{ v/s } \frac{1}{T} \right)$ of first order reaction is $-5 \times 10^3 \text{K}$. The value of $E_a$ of the reaction is. Choose the correct option for your answer. [Given $R = 8.314 \text{ JK}^{-1}\text{mol}^{-1}$]
Match List-I with List-II. Choose the correct answer from the options given below.
A cup of coffee cools from $90^{\circ}C$ to $80^{\circ}C$ in $t$ minutes, when the room temperature is $20^{\circ}C$. The time taken by a similar cup of coffee to cool from $80^{\circ}C$ to $60^{\circ}C$ at a room temperature same at $20^{\circ}C$ is
A uniform rod of length $200 \text{ cm}$ and mass $500 \text{ g}$ is balanced on a wedge placed at $40 \text{ cm}$ mark. A mass of $2 \text{ kg}$ is suspended from the rod at $20 \text{ cm}$ and another unknown mass '$m$' is suspended from the rod at $160 \text{ cm}$ mark as shown in the figure. Find the value of '$m$' such that the rod is in equilibrium. ($g = 10 \text{ m/s}^2$)
Identify the compound that will react with Hinsberg's reagent to give a solid which dissolves in alkali.
The molar conductance of $\text{NaCl}$, $\text{HCl}$ and $\text{CH}_3\text{COONa}$ at infinite dilution are $126.45$, $426.16$ and $91.0 \text{ S cm}^2 \text{ mol}^{-1}$ respectively. The molar conductance of $\text{CH}_3\text{COOH}$ at infinite dilution is. Choose the right option for your answer.
Assertion (A): A person goes to high altitude and experiences 'altitude sickness' with symptoms like breathing difficulty and heart palpitations. Reason (R): Due to low atmospheric pressure at high altitude, the body does not get sufficient oxygen. In the light of the above statements, choose the correct answer from the options given below
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 :
Now a days it is possible to detect the mutated gene causing cancer by allowing radioactive probe to hybridise its complimentary DNA in a clone of cells, followed by its detection using autoradiography because :
What is the role of RNA polymerase III in the process of transcription in eukaryotes?
A wheatstone bridge is used to determine the value of unknown resistance X by adjusting the variable resistance Y as shown in the figure. For the most precise measurement of X, the resistances P and Q
When two monochromatic lights of frequency, $Q$ and $\frac{Q}{2}$ are incident on a photoelectric metal, their stopping potential becomes $\frac{V_s}{2}$ and $V_s$ respectively. The threshold frequency for this metal is
The intermediate compound 'X' in the following chemical reaction is:
The first stable product of $CO_2$ fixation in Sorghum is