Practice questions
88551 published questions with worked solutions.
- Let C be the centroid of the triangle with vertices (3, −1), (1, 3) and (2, 4). Let P be the point of intersection of the lines x...
- The projection of the line segment joining the points (1, −1, 3) and (2, −4, 11) on the line joining the points (−1, 2, 3) and...
- If for x 0, y = y(x) is the solution of the differential equation, (x+1)dy=((x+1)^2+y-3) ,dx, y(2) = 0, then y(3) is equal to...
- The coefficient of x^4 in the expansion of (1+x+x^2)^ 10 is _____
- The number of distinct solutions of the equation, _ 1/2 | x| = 2 - _ 1/2 | x| in the interval [0, 2 ], is _____
- If the vectors, p =(a+1) i +a j +a k , q =a i +(a+1) j +a k and r =a i +a j +(a+1) k (a R) are coplanar and 3( p q )^2- | r q...
- To raise the temperature of a certain mass of gas by 50ºC at a constant pressure, 160 calories of heat is required. When the same...
- The radius R of a nucleus of mass number A can be estimated by the formula R=(1.3 10^ -15 )A^ 1/3 m., It follows that the mass...
- The mass density of a planet of radius R varies with the distance r from its centre as (r)= _0 (1- r^2 R^2 ). Then the...
- Amount of solar energy received on the earth's surface per unit area per unit time is defined a solar constant. Dimension of...
- A block of mass m attached to a massless spring is performing oscillatory motion of amplitude 'A' on a frictionless horizontal...
- If a semiconductor photodiode can detect a photon with a maximum wavelength of 400 nm, then its band gap energy is : Planck's...Not in JEE Advanced syllabus
- Two resistors 400 and 800 are connected in series across a 6 V battery. The potential difference measured by a voltmeter of 10 k...
- A metallic sphere cools from 50ºC to 40ºC in 300 s. If atmospheric temperature around is 20ºC, then sphere's temperature after...
- A calorimeter of water equivalent 20 g contains 180 g of water at 25ºC. 'm' grams of steam at 100ºC is mixed is 31ºC. The value...
- Two sources of light emit X-rays of wavelength 1 nm and visible light of wavelength 500 nm, respectively. Both the sources emit...
- The electric field of a plane electromagnetic wave propagating, along the x direction is vacuum is E =E_0 j ( t-kx). The magnetic...
- Two light waves having the same wavelength in vacuum are in phase initially, then the first wave travels a path L_1 through a...
- A block of mass 1.9 kg is at rest at the edge of a table, of height 1m. A bullet of mass 0.1 kg collides with the block and...
- A uniform magnetic field B exists in a direction perpendicular to the plane of a square loop made of a metal wire. The wire has a...