List of practice Questions

Two cars are in a race. The white car passed the finishing point with a velocity $ v\, ms^{-1} $ more and took time $ t\, s $ less than the red car. If both the cars start from rest and travel with constant accelerations $ a_w $ , and $ a_r $ respectively, $ \frac{v}{t} $ is given

Electrophile that participates in nitration of benzene is

A particle moving with an initial velocity $ u\, ms^{-1} $ is retarded by a force at the rate of $ a = - k \sqrt v $ . where $ K $ is a positive constant and $ v $ is the instantaneous velocity. The particle comes to rest in a time given by

A particle moves with a uniform speed $ v $ and time period $ T $ in a circular path of radius $ r $ . If the speed of the particle is doubled, its new time period is

The standard (reduction) electrode potentials for metal-metal ion $ (M/M^{2+}) $ electrodes $ P, Q, R $ and $ S $ are respectively $ -0.44 \, V, +0.34\, V, -0.76\,V $ and $ -0.25 \, V $ The increasing order of their reducing capacities is

The increasing order of reactivity in the $ S_{N}{2} $ hydrolysis of the following alkylbromides is (1) $tert$-Butyl bromide (2) Methyl bromide (3) $sec$-Butyl bromide (4) $ n $ - Propyl bromide

Which one of the following hydrogen halides has the least bond dissociation enthalpy?

The equation of the tangent to the curve $y = x^3 - 6x + 5$ at $(2,1)$ is

Choose the wrong statement

The alkaline earth metal sulphate which is most soluble in water among the following is

The correct order of increasing stabilities for the following carbocations is (1) allyl carbocation (2) neopentyl carbocation (3) benzyl carbocation (4) isobutyl carbocation

The optically inactive compound among the following is

Which of the following oxyacids of sulphur has $ S-O-S $ linkage in its structure?

The equilibrium constant for the following reactions $N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g), N_2(g) +O_2(g) \rightleftharpoons 2NO(g)$ and$ H_2(g) + \frac{1}{2} O_2(g) \rightleftharpoons H_2O(1g)$ are K1, K2 and K3 respectively. The equilibrium constant (K) for the reaction

The pH of a solution obtained by mixing 60 mL of 0.1 M BaOH solution at 40m of 0.15m HCI solution is

If a and ??are the roots of 4x2 + 2x + 1 = 0, then ??=

A given sample of an ideal gas occupies a volume $V$ at a pressure $P$ and absolute temperature $T$. The mass of each molecule of the gas is $m$. Which of the following gives the density of the gas ?

The slope of the straight line$\frac{ x}{10 }$-$\frac{y }{4 }$ = 3 is

The hybridized state of $Al^{3+}$ in the complex ion formed when $AlCl_3$ is treated with aqueous acid is

Which among the following polymers is non - biodegradable?

The kinetic energy of a particle executing simple harmonic motion is $ 1/6^{th} $ of its maximum value at a distance of $ 5 \,cm $ from its equilibrium position. The amplitude of its motion is

In a moving coil galvanometer, the coil having $ 500 $ turns and an average area of $ 4 \,cm^{2} $ carries a current of $ 0.1 \,A $ and is set parallel to a magnetic field with a torque of $ 0.15\, N \,m $ . The strength of the magnetic field is

An organ pipe open at both ends has fundamental frequency $ f $ in air. If the pipe is dipped vertically in water such that $ 1/4^{th} $ of its length is inside water, then the fundamental frequency of the air column in it is

The density and edge length values for a crystalline element with $ fcc $ lattice are $ 10 \,g \,cm^{-3} $ and $ 400\, pm $ , respectively. The number of unit cells in $ 32 \,g $ of this crystal is

If $ 25^{th} $ term of an $ A.P. $ is $ 15 $ and if its $ 15^{th} $ term is $ 25 $ , then the $ 40^{th} $ term of the $ A.P. $ is