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Can the scalar product of two vectors be a negative quantity?

Answer: Yes, the scalar product of two vectors may be a negative quantity Solution: The scalar product of two vectors is |a||b|... View Article

The rate of cooling at 600k, if the surrounding temperature is 300K, is H. The rate of cooling at 900K is

a) 16/3 H b) 2 H c) 3 H d) (2/3) H Answer: a) 16/3 H Solution: By Stefan's law, rate of cooling, H ∝ (T4 - T04) H' = (16/3) H... View Article

An electron (mass=9.1×10⁻³¹kg) is sent into an electric field of intensity 9.1×10⁶ N/C. The acceleration produced is

a) 1.6 x 1018 m/s2 b) 1.6 x 106 m/s2 c) 1.6 x 10-18 m/s2 d) 1.6 x 10-6 m/s2 Answer: a) 1.6 x 1018 m/s2 Solution: a... View Article

A transformer of frequency 60 Hz and 120 V input has an 8:1 turn ratio. The frequency of the output is

a) 40 Hz b) 480 Hz c) 2 Hz d) 60 Hz Answer: d) 60 Hz Solution: The output frequency is 60 Hz... View Article

The ratio of time periods of α-particle and proton moving on a circular path in a uniform magnetic field is ___________.

a) 1: 2 b) 2: 1 c) 4: 1 d) 1: 4 Answer: b) 2: 1 Solution: The time period of revolution of a charged particle in a magnetic field is... View Article

An object falls from the top of a building that is 25 m high. Air resistance is negligible What is the speed of the object when it hits the ground?

A) 10 m/s B) 22 mis C) 25 m/s D) 625 m/s Answer: B) 22 m/s Solution: From the question: Initial velocity, u=0 Height of the building, h =25m... View Article

24 Dec 2021: UPSC Exam Comprehensive News Analysis

CNA 24 Dec 2021:- Download PDF Here TABLE OF CONTENTS A. GS 1 Related B. GS 2 Related POLITY 1. Understanding the Election Laws (Amendment) Bill,... View Article

23 Dec 2021: PIB Summary & Analysis

TABLE OF CONTENTS 1. Transient High Energy Pulses 2. Fifth Siddha Day 3. Conformity Assessment Scheme 1. Transient High Energy... View Article

Pradhan Mantri Jan Arogya Yojana

Pradhan Mantri Jan Arogya Yojana, earlier known as the National Health Protection Scheme, falls under Ayushman Bharat Programme launched in 2018... View Article

Pabna Revolt or the Pabna Peasant Uprising

Peasants of India under the oppression of the 'zamindars' revolted against them as the levies on the peasants continued to increase in terms of... View Article

Golaknath Case [Summary, Arguments, Significance]

Can the Parliament curtail or nullify the fundamental rights granted to the Indian citizens by the Constitution? Can an amendment to any section... View Article

Right to Privacy

The Oxford Dictionary of Law defines privacy as the “right to be left alone. The right to a private life…” Taking a cue from this definition, we... View Article

23 Dec 2021: The Hindu Analysis

UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 23 Dec 2021. Important news and views to boost... View Article

Sansad TV Perspective: Chip’ping in for Industry 4.0

In the series Sansad TV Perspective, we bring you an analysis of the discussion featured on the insightful programme ‘Perspective’ on Sansad TV,... View Article

Tribes of India

A tribe is a group of people sharing common ancestry and culture and prefer to live by themselves in a closed society. The tribes of India are... View Article

The difference between successor and predecessor of any number is,

(a) 0 (b) 1 (c) 2 (d) None of these Solution: Let x be a number. Then successor is x+1. Predecessor = x-1 Then the difference between... View Article

If α, β are roots of the equation 2x² – 35x + 2 = 0, then the value of (2α-35)³ × (2β-35)³ is equal to

(a) 10 (b) 100 (c) 64 (d) 1 Solution: 2x2 - 35x + 2 = 0 Sum of roots, α + β = 35/2 Product of roots,... View Article

What is 30 percent of 90?

(a) 30 (b) 15 (c) 27 (d) 45 Solution: 30 percent of 90 = (30/100)×90 = 2700/100 = 27 Hence option c is the... View Article

If cos A + cos B= 4 sin²(C/2) then prove that sides a, c, b of an triangle ABC in A.P.

Solution: Given cos A + cos B = 4 sin2(C/2) => 2cos (A+B)/2 cos (A-B)/2 = 4 sin2(C/2) Sum of angles of triangle = A+B+C = π So A+B =... View Article

Find the value of k for which the following system of linear equations has infinite solutions: x + (k+1)y = 5, (k+1)x + 9y = 8k-1

(a) 3 (b) 1 (c) 2 (d) 4 Solution: x + (k+1)y = 5 ..(i) (k+1)x + 9y = 8k-1 ..(ii) Comparing with general form a1x+b1y =... View Article