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To mop-clean a floor, a cleaning machine presses a circular mop of radius R vertically down with a total force F and rotates it with a constant angular speed about its axis. If the force F is distributed uniformly over the mop and if coefficient of friction between the mop and the floor is μ, the torque applied by the machine on the mop is-
The radius of fourth half period zone at a point 4 m away from a plane wave front of wavelength 6400 Å is:
Magnetic dipole moment represent which of the following?
A force F is needed to break a copper wire having radius R. The force needed to break a copper wire of radius 2R will be:
If the mass of two objects remain the same and the distance between their centres is reduced to one-sixth of the original distance, the gravitational force-
A homogeneous solid cylindrical roller of radius R and mass m is pulled on a cricket pitch by a horizontal force. Assuming rolling without slipping, angular acceleration of the cylinder is-
In a double-slit experiment, fringes are produced using the light of wavelength 4800 Å. One slit is covered by a thin plate of glass of refractive index 1.4 and the other slit by another plate of glass of the same thickness but of refractive index 1.7. In doing so the central bright fringe shifts to the position originally occupied by the fifth bright fringe from the center. The thickness of the glass plate will be
The equation of state for 5 g of oxygen at a pressure P and temperature T, when occupying a volume V, will be:
By increasing the number of turns in a current carrying coil the intensity of the magnetic field produced by it-
A 2mW laser operates at a wavelength of 500 nm. The number of photons that will be emitted per second is:
[Given Planck’s constant h = 6.6 × 10-34 Js, speed of light c = 3.0 × 108 6m/s]
What is the unit of specific impulse?
When an alpha particle with mass m, charge 2e enters into a magnetic field B with velocity v perpendicular to the direction of the magnetic field, the radius of the curved path will be ____________.
Photons with energy 5eV are incident on a cathode C in a photoelectric cell. The maximum energy of emitted photoelectrons is 2eV. When photons of energy 6eV are incident on C, no photoelectrons will reach the anode A, if the stopping potential of A relative to C is:
Light of wavelength 6900 Å is incident on a biprism of refracting angle 1° and refractive index 1.5. Interference fringes are observed on a screen 80 cm away from the biprism. If the distance between the source and the biprism is 20 cm, then the fringe width will be -
When the distance between the source of light and photocell is increased-
Two sources are said to be coherent if they produce waves-
Which one is the correct option for the two different thermodynamic processes?
If the radius of orbit of a new satellite revolving around earth is 4 times of the radius of a geostationary satellite, the time period of the new satellite is-
Two current-carrying long wires of equal length are placed parallel to each other and separated by a small distance, if the current in both the wires is halved then the force per unit length on the wires will:
What is the de Broglie wavelength of the electron accelerated through a potential difference of 100 Volt?
The output of the given combination gates represents:
A bulb of 25 W emits yellow color monochromatic light of wavelength 0.57 μm. Calculate the number of photons emitted per second:
The work done by a gas is maximum when it expands:
4 g of a gas occupies 22.4 liters at NTP. The specific heat capacity of the gas at constant volume is 5.0 J/K-mol. If the speed of sound in this gas at NTP is 952 m/s, then the heat capacity at constant pressure is (Take gas constant R = 8.3 J/K-mol)
A pendulum is installed in a spacecraft which orbits the Earth at a height of 1000 km from the surface of Earth. The time period of this pendulum is-
Which of the following can be concluded from the photo-electric effect?
The following logic gate circuit is equivalent to:
The study of emission or absorption spectra is referred to as________.
Identify the correct statement regarding oxidation state of Group 15 elements.
Benzene can't be prepared in the laboratory by which of the following methods?
Which of the following statements does not form part of Bohr's model of the hydrogen atom?
Which of the following elements replaced Eka-Silicon in Mendeleev’s Periodic Table?
Which of the following is optically active?
When a primary amine reacts with chloroform in alcoholic KOH. the product is:
Which of the following element does not belong to the group of s-block elements?
In the nitration of benzene, the active nitrating agent is:
Which one of the following statements about water is not true?
The boiling point of acetic acid is higher than expected from its molecular weight because of:
Which of the following elements has the unique ability to form bonds with other atoms of the same element giving rise to large molecules?
For the following cell, calculate the emf:
Al|Al3+(0.01M)‖Fe2+(0.02M)|Fe
Given : EAl3+/Al∘=−1.66 V,EFe2+/Fe∘=−0.44 V
The three important oxidation states of Phosphorus are:
Stephen's reduction converts ethane nitrile into:
An aqueous solution of HCl is 10−9M HCl. The pH of the solution should be:
The compound which contains both ionic and covalent bonds is-
What is the radius of an atom used to measure?
In which of the following block would you find the Rare Earth Elements?
a. s-block
b. p-block
c. d-block
d. f-block
Non-ideal gases approach ideal behavior at:
Choose the wrong statement from the following.
According to Raoult's law the relative lowering of vapour pressure for a solution is equal to-
What is known as Autooxidation?
Which of the following is true for the resultant polymer product formed, when molecules of phthalic acid react with molecules of glycerol?
The triad of nuclei that is isotone, is-
An atom of carbon has 6 protons. Its mass number is 12. How many neutrons are present in an atom of carbon?
Consider the following statements:
A. Organic compounds are compounds of carbon.
B. Organic compounds contain covalent bonds.
C. Carbon tetrachloride is not an organic compound.
Which of the above statements is/are correct?
Select the code for the correct answer from the options given below:
Select a figure from amongst the four alternatives that when placed in the blank space (?) of figure X will complete the pattern. (Rotation is not allowed).
Statement: The banking system in India has four tiers: (a) scheduled commercial banks, (b) regional rural banks, (c) co-operative banks, (d) payment banks and small finance banks.
Conclusions:
I. The scheduled commercial banks are the most significant category in India's banking system.
II. India is planning to expand its banking network.
Statement:
Online classes are leading to health issues in children such as headaches, eye problems and stress during Covid-19 pandemic as they are spending more time on screen than before.
I. During Covid-19 pandemic teachers are adopting virtual teaching method to teach their students.
II. Children who are not attending online classes are not facing any health issues.
Select the odd word from the given alternatives:
In the following question, which pattern will the given sheet resemble when it is folded at the dotted line? (Sheet is transparent)
Directions: Select one figure from the 'Answer Figures' which will continue the same series as given in the 'Problem Figures'.
Direction: Select the Answer figure that will complete the series of question figures.
Select the option that is related to the third number in the same way as the second number is related to the first number.
54 : 6 : : 42 : ?
Find the missing term/letter in the given series?
H, J, N, T, B, ‘?’, X
In the following question, select the odd letter from the given alternatives.
With reference to the passage, which of the following statements is correct?
What does moral values include?
According to the passage, how can we define ethical values?
What would be the most suitable title for the passage?
What is the synonym of the word "deteriorate"?
Select the option that is related to the Third term in the same way as the second term is related to the first term.
DESK : 114519 :: DASH : ?
Select the phrase/connector from the given three options which can be used to form a single sentence from the two sentences given below, implying the same as expressed in the statement sentences.
The new domicile rules are another form of the NRC exercise for the citizens. They were proposed during lockdown.
1. Proposed during lockdown
2. Rules imposed on citizens
3. Proposed during the exercise
Complete the series choosing the missing number:
5,15,45,135,?
Direction: Given below idioms/phrases are followed by four alternatives. Choose the response (A), (B), (C), or (D) which is the most appropriate meaning, and mark your response accordingly.
To fish in troubled waters
S1: The British rule in India has brought about the moral, material, cultural and spiritual ruination of this great country.
S6: We are not to kill anybody but it is our dharma to see that the curse of this Government is blotted out.
P: I regard this rule as a curse.
Q: Sedition has become my religion
R: Ours is a non-violent battle
S: I am out to destroy this system of Government.
The proper sequence should be -
S1: Mr. Sherlock Holmes and Doctor Watson were spending a weekend in a University town.
S6: It was clear that something very unusual happened.
P: One evening they received a visit from an acquaintance, Mr. Hilton Soames.
Q: On that occasion, he was in a state of great agitation.
R: They were staying in furnished rooms, close to the library.
S: Mr. Soames was a tall, thin man of a nervous and excitable nature.
The proper sequence should be-
Directions: Find the missing term out of the options given below after studying the relationship among others.
Direction: Select a figure from amongst the four alternatives that when placed in the blank space (?) of figure X will complete the pattern. (Rotation is not allowed).
Select the figure that will come next in the following series.
Direction: Select the wrongly spelt word.
Direction: Find out which of the figures A, B, C, and D can be formed from the pieces given in figure X.
Question figure:
Answer figure:
What is the argument of the complex number (-1 - i) where i=−1?
The standard deviation of the observation 5, 5, 5, 5, 5 is:
A value of c for which the conclusion of mean value Theorem holds for the function f(x) = loge x on the interval [1, 3] is-
A vector is perpendicular to both the vectors i^+j^ and j^+k^ is:
ABC is a triangle in which ∠A = 30°, and AC = 4 units, BC = 2 then ∠B =
Find the foot of the perpendicular of the point (0, -2, -1) on the plane x - 3y + 3z = 3.
The mean of five observations is 5 and their variance is 9.20. If three of the given five observations are 1, 3 and 8, then a ratio of other two observations is:
There are 3 bags each containing 5 white balls and 3 black balls. Also, there are 2 bags each containing 2 white balls and 4 black balls. A white ball is drawn at random. The probability that this white ball is from a bag of the first group.
Three dices are rolled together, such that all numbers that appear are perfect squares. What is the probability of this happen?
Let A(1,0),B(6,−2) and C(32,6) be the vertices of a triangle ABC. If P is a point inside the triangle ABC such that the triangles APC,APB and BPC have equal areas, then the length of the line segment PQ, where Q is the point (−76,−13) is:
Find the equation of plane passing through the line of intersection of planes 3x – y – 4z = 0 and x + 3y = - 6 and at unit distance from origin.
A man walks 10 m towards a lamp post and notices that the angle of elevation of the top of the post increases from 30° to 45°. The height of the lamp post is:
If 5−3x<4−x and 5(2−x)>2−2x, then find the range set for x ?
In an A.P. the sum of the first 10 numbers is 140 and the sum of the next 10 numbers is 540. Find the 5th and 16th number of the series.
Calculate the differential of tan x.
1. If A and B are exhaustive events, then their union is the sample space.
2. If A and B are exhaustive events, then their intersection must be an empty event.
Find the mean deviation relative to the mean for the following data:
12,3,18,17,4,9,17,19,20,15,8,17,2,3,16,11,3,1,0,5
If (a→×b→)×c→=a→×(b→×c→), then which of the following is true?
Solve for x:12x+28<−56 or 18x+30≤−24
The equation of straight line passing through the point (1, -2) and parallel to the line y = 5x - 2 is-
The function f(x) = 1 - x - x3 is decreasing for:
Let f be a function from the set of natural numbers to the set of even natural numbers given by f(x) = 2x. Then f is:
What is the variance of the first 11 natural numbers?
if 12Pr = 1320 then r is:
Find the angle between two planes A and B represented by A = 2i + 3j + 2k + 1 and B = -2i - 2j + 3k - 2
The shaded region in the figure is the solution set of the inequations