Questions Flash card

Courses Pricing News Blog

Practice

Questions

Pick a topic and practice with clear explanations.

Topics

Loading...

FirstInTest

A world-class coach for every exam.

Product

Courses Pricing News Blog

Company

About us FAQ Contact us Feedback Community

Legal

Terms Privacy Refunds

Search

Practice question

A particle of mass m is suspended from a ceiling through a string of length L. The particle moves in a horizontal circle of radius r such that $r = \frac{L}{\sqrt{2}}$ . The speed of particle will be :

Related questions

Let $A = \begin{pmatrix} m & n \\ p & q \end{pmatrix}$, $d = |A| \neq 0$ and $|A – d(\text{Adj}A)| = 0$. Then

View question →

A light beam is described by $E = 800 \sin\omega\left(t - \frac{x}{c}\right)$. An electron is allowed to move normal to the propagation of light beam with a speed of $3 \times 10^7 ms^{-1}$. What is the maximum magnetic force exerted on the electron ?

View question →

Page 1

Browse questions

A particle of mass m is suspended from a ceiling through a string of length L. The particle moves in a horizontal circle of radius r such that $r = \frac{L}{\sqrt{2}}$. The speed of particle will be :
Let $A = \begin{pmatrix} m & n \\ p & q \end{pmatrix}$, $d = |A| \neq 0$ and $|A – d(\text{Adj}A)| = 0$. Then
A light beam is described by $E = 800 \sin\omega\left(t - \frac{x}{c}\right)$. An electron is allowed to move normal to the propagation of light beam with a speed of $3 \times 10^7 ms^{-1}$. What is the maximum magnetic force exerted on the electron ?
If the shortest distance between the lines $\frac{x-4}{1} = \frac{y+1}{2} = \frac{z}{-3}$ and $\frac{x-2}{2} = \frac{y+1}{4} = \frac{z-2}{-5}$ is $\frac{6}{\sqrt{5}}$, then the sum of all possible values of $\lambda$ is :
[Diagram: Match List I (Atomic number) with List II (Block of periodic table)] Choose the correct answer from the options given below:
Let $S_n$ denote the sum of first n terms an arithmetic progression. If $S_{20} = 790$ and $S_{10} = 145$, then $S_{15}-S_5$ is:
The number of points on the curve $y = 54x^5 – 135x^4 – 70x^3 + 180x^2 + 210x$ at which the normal lines are parallel to $x + 90y + 2 = 0$ is :
During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio of $\frac{C_p}{C_v}$ for the gas is :
Distance between an object and three times magnified real image is 40 cm. The focal length of the mirror used is ________ cm.
The average kinetic energy of a monatomic molecule is $0.414$ eV at temperature : (Use $K_B = 1.38 \times 10^{-23}$ J/mol-K)
The binding energy for the following nuclear reactions are expressed in MeV. $^3He + n^1 \to ^4He + 20$ MeV $^4He + n^1 \to ^5He – 0.9$ MeV If $X_3, X_4, X_5$ denote the stability of $^3He, ^4He$ and $^5He$, respectively, then the correct order is :
Match List I with List II [Diagram: Table with List I (A. Young's Modulus (Y), B. Co-efficient of Viscosity ($\eta$), C. Planck's Constant (h), D. Work Function ($\phi$)) and List II (I. $[ML^{-1} T^{-1}]$, II. $[ML^2 T^{-1}]$, III. $[ML^{-1} T^{-2}]$, IV. $[ML^2 T^{-2}]$)] Choose the correct answer from the options given below: options
NaCl reacts with conc. $\text{H}_2\text{SO}_4$ and $\text{K}_2\text{Cr}_2\text{O}_7$ to give reddish fumes (B), which react with NaOH to give yellow solution (C). (B) and (C) respectively are ;
[Diagram: Input A waveform, Input B waveform, and the logic circuit. The options are four different output waveforms.] The output waveform of the given logical circuit for the following inputs A and B as shown below, is
A cubical block of density $\rho_b = 600$ kg/m$^3$ floats in a liquid of density $\rho_l = 900$ kg/m$^3$. If the height of block is $H = 8.0$ cm then height of the submerged part is ________ cm.
The number of stereoisomers possible for 1,2-dimethyl cyclopropane is :
Given below are two statements: Statement-I: The orbitals having same energy are called as degenerate orbitals. Statement-II: In hydrogen atom, 3p and 3d orbitals are not degenerate orbitals. In the light of the above statements, choose the most appropriate answer from the options given below:
Match List I with List II [Diagram: Table with List I (A. Isothermal Process, B. Adiabatic Process, C. Isochoric Process, D. Isobaric Process) and List II (I. Work done by the gas decreases internal energy, II. No change in internal energy, III. The heat absorbed goes partly to increase internal energy and partly to do work, IV. No work is done on or by the gas)] Choose the correct answer from the options given below:
A thin uniform rod (X) of mass M and length L is pivoted at a height $\left(\frac{L}{3}\right)$ as shown in the figure. The rod is allowed to fall from a vertical position and lie horizontally on the table. The angular velocity of this rod when it hits the table top, is ________ (g = gravitational acceleration) [Diagram: A rod X of length L, pivoted at L/3 from one end, initially vertical, falling to horizontal position.]
What is the mass ratio of ethylene glycol ($\text{C}_2\text{H}_6\text{O}_2$, molar mass = $62\ g/mol$) required for making $500\ g$ of $0.25$ molal aqueous solution and $250\ mL$ of $0.25$ molal aqueous solution?