Practice questions
88551 published questions with worked solutions.
- All x satisfying the inequality ( ^ -1 x)^2 - 7( ^ -1 x) + 10 > 0, lie in the interval:
- Given b + c 11 = c + a 12 = a + b 13 for a ΔABC with usual notation. If A = B = C , then the ordered triad (α, β, γ) has a value:Not in JEE syllabus
- A circle cuts a chord of length 4a on the x-axis and passes through a point on the y-axis, distant 2b from the origin. Then the...
- If in a parallelogram ABDC, the coordinates of A, B and C are respectively (1, 2), (3, 4) and (2, 5), then the equation of the...
- A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. Considering only translational and rotational...
- Ice at −20°C is added to 50 g of water at 40°C. When the temperature of the mixture reaches 0°C, it is found that 20 g of ice is...
- In a Young's double slit experiment, the path difference, at a certain point on the screen, between two interfering waves is 18th...
- A rigid diatomic ideal gas undergoes an adiabatic process at room temperature. The relation between temperature and volume for...
- In an experiment, electrons are accelerated, from rest, by applying a voltage of 500 V. Calculate the radius of the path if a...
- An object is at a distance of 20 m from a convex lens of focal length 0.3 m. The lens forms an image of the object. If the object...
- If the de Broglie wavelength of an electron is equal to 10^ -3 times the wavelength of a photon of frequency 6 10^ 14 Hz, then...
- A particle is moving along a circular path with a constant speed of 10 ms^ -1 . What is the magnitude of the change in velocity...
- The force of interaction between two atoms is given by F = (- x^2 kT ); where x is the distance, k is the Boltzmann constant and...
- Two equal resistances when connected in series to a battery, consume electric power of 60 W. If these resistances are now...
- A body is projected at t = 0 with a velocity 10 ms^ -1 at an angle of 60° with the horizontal. The radius of curvature of its...
- Equation of travelling wave on a stretched string of linear density 5 g/m is y = 0.03 sin(450t − 9x) where distance and time are...
- An electromagnetic wave of intensity 50 Wm^ -2 enters in a medium of refractive index 'n' without any loss. The ratio of the...
- If a reaction follows the Arrhenius equation, the plot ln k vs 1 RT gives straight line with a gradient (−y) unit. The energy...
- The concentration of dissolved oxygen (DO) in cold water can go up to:
- Match the metals (Column I) with the coordination compound(s)/enzyme(s) (Column II): List-I: (A) Co (B) Zn (C) Rh (D) Mg List-II:...