Practice questions
88551 published questions with worked solutions.
- Let the area of the region bounded by the curve y = x, x , lines x=0, x= 3 2 , and the x-axis be A. Then, A+A^2 is equal to _____
- Let f be a twice differentiable non-negative function such that (f(x))^2 = 25 + _0^x ((f(t))^2+(f'(t))^2 )dt. Then the mean of f(...
- The number of 4-letter words, with or without meaning, which can be formed using the letters PQRPQRSTUVP, is _____。
- A thin prism with angle 5^ of refractive index 1.72 is combined with another prism of refractive index 1.9 to produce dispersion...
- Four persons measure the length of a rod as 20.00 cm, 19.75 cm, 17.01 cm and 18.25 cm. The relative error in the measurement of...
- The de Broglie wavelength of an oxygen molecule at 27^ is x 10^ -12 m. The value of x is (take Planck's constant = 6.63 10^ -34...
- A simple pendulum of string length 30 cm performs 20 oscillations in 10s. The length of the string required for the pendulum to...
- The moment of inertia of a square loop made of four uniform solid cylinders, each having radius R and length L(R<L) about an axis...
- Consider light travelling from a medium A to medium B separated by a plane interface. If the light undergoes total internal...
- A 20 m long uniform copper wire held horizontally is allowed to fall under the gravity (g=10 m/s^2) through a uniform horizontal...
- Two small balls with masses m and 2m are attached to both ends of a rigid rod of length d and negligible mass. If angular...
- In a perfectly inelastic collision, two spheres made of the same material with masses 15 kg and 25 kg, moving in opposite...
- In a screw gauge, the zero of the circular scale lies 3 divisions above the horizontal pitch line when their metallic studs are...
- Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Consider a...Not in JEE Advanced syllabus
- A simple pendulum made of mass 10 g and a metallic wire of length 10 cm is suspended vertically in a uniform magnetic field of 2...
- The equation of the electric field of an electromagnetic wave propagating through free space is given by : E = 377 (6.27 10^3 t -...
- In two separate Young's double-slit experimental set-ups, two monochromatic light sources of different wavelengths are used to...
- Which of the following statements regarding the energy of the stationary state is true in the following oneelectron system ?
- The correct trend in the first ionization enthalpies of the elements in the 3rd period of periodic table is:
- In the given electrochemical cell, Ag(s)|AgCl(s)|FeCl_2(aq), FeCl_3(aq)|Pt(s) at 298 K, the cell potential (E_ cell ) will...