List of practice Questions

Gabriel's synthesis is used frequently for the preparation of which of the following? 

Two transparent media. A and B are separated by a plane boundary. The speed of light in those media are 1.5 × 108 m/s and 2.0 × 108 m/s, respectively. The critical angle for a ray of light for these two media is:

Acetophenone when reacted with a base, $ C_6H_5ONa $, yields a stable compound which has the structure

A ball is projected with a velocity, 10 ms-1, at an angle of 60° with the vertical direction. Its speed at the highest point of its trajectory will be:
Product of the following reaction is

A nucleus of mass number 189 splits into two nuclei having mass number 125 and 64. The ratio of radius of two daughter nuclei respectively is:
A big circular coil of 1000 turns and average radius 10 m is rotating about its horizontal diameter at 2 rad s-1. If the vertical component of earth’s magnetic field at that place is 2 × 10-5 T and electrical resistance of the coil is 12.56 Ω, then the maximum induced current in the coil will be:
Which of the following hexoses will form the same osazone when treated with excess phenyl hydrazine?

Choose the correct answer from the options given below:

List – IList – II
(a) Gravitational constant(i) [L2T-2]
(b) Gravitational potential energy(ii) [M-1L3T-2]
(c) Gravitational potential(iii) [LT-2]
(d) Gravitational intensity(iv) [ML2T-2
A series LCR circuit with inductance 10 H, capacitance 10 μF, resistance 50 Ω is connected to an ac source of voltage, V =200 sin(100 t) volt. If the resonant frequency of the LCR circuit is vo and the frequency of the ac source is v, then:
The total number of terms in the expansion of $ (x + y)^{60} + (x - y)^{60} $ is
3 and 5 are intercepts of a line $L = 0$, then the distance of $L = 0$ from $(3, 7)$ is
The slope of lines which makes an angle $60^\circ$ with the line $y - 3x + 18 = 0$ is
Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R). 
Assertion (A): The stretching of a spring is determined by the shear modulus of the material of the spring. 
Reason (R): A coil spring of copper has more tensile strength than a steel spring of same dimensions.
In the light of the above statements choose the most appropriate answer from the options given below:
The area of rectangular field (in m2) of length 55.3 m and breadth 25 m after rounding off the value for correct significant digits is:
If a soap bubble expands, the pressure inside the bubble:
The distance of the point (3, 4) from the line $3x + 2y + 7 = 0$ measured along the line parallel to $y - 2x + 7 = 0$ is equal to
Two resistors of resistances, 100 Ω and 200 Ω are connected in parallel in an electrical circuit. The ratio of thermal energy developed in 100 Ω to that in 200 Ω in a given time is
Let the equation of pair of lines $ y = m_1x $ and $ y = m_2x $ be written as $ (y - m_1x)(y - m_2x) = 0 $. Then, the equation of the pair of the angle bisector of the line $ 3y^2 - 5xy - 2x^2 = 0 $ is
A light ray falls on a glass surface of refractive index √3, at an angle 60°. The angle between the refracted and reflected rays would be:
A polygon of $ n $ sides has 105 diagonals, then $ n $ is equal to
In the given nuclear reaction, the element X is: 22 11 Na → X + x2 + v
The total number of numbers greater than 1000 but less than 4000 that can be formed using 0, 2, 3, 4 (using repetition allowed) are
There are 10 points in a plane out of which 4 points are collinear. How many straight lines can be drawn by joining any two of them?

Given below are two statements
Statement I: Biot-Savart's law gives on the expression for the magnetic field strength of an infinitesimal current element (Idl) of a current carrying conductor only.
Statement II: Biot-Savart’s law is analogous to Coulomb's inverse square law of charge q, with the former being related to the field produced by a scalar source, Idl while the latter being produced by a vector source, q.
In light of above statements choose the most appropriate answer from the options given below: