JEE Main questions
34495 published questions with worked solutions.
- Let [ ] be the greatest integer function. If = _0^ 64 (x^ 1/3 -[x^ 1/3 ] )dx, then 1 _0^ ( ^2 ^6 + ^6 )d is equal to ____ .
- Let ( + ) = - 1 10 and ( - ) = 3 8 , where 0< < 3 and 0< < 4 . If 2 = 3(1-r 5 ) 11 (s+ 5 ) , r,s N, then r+s is equal to ____ .
- Suppose a,b,c are in A.P. and a^2, 2b^2, c^2 are in G.P. If a<b<c and a+b+c=1, then 9(a^2+b^2+c^2) is equal to ____ .
- Let S be the set of the first 11 natural numbers. Then the number of elements in A = B S: n(B) 2 and the product of all elements...
- If , E and t represent the free space permittivity, electric field and time respectively, then the unit of E t will be :
- Consider two boxes containing ideal gases A and B such that their temperatures, pressures and number densities are same. The...
- In parallax method for the determination of focal length of a concave mirror, the object should always be placed :
- In an open organ pipe v_3 and v_6 are 3^ rd and 6^ th harmonic frequencies, respectively. If v_6-v_3 = 2200 Hz then length of the...
- An electric power line having total resistance of 2 , delivers 1 kW of power of 250 V. The percentage efficiency of transmission...
- The wavelength of light, while it is passing through water is 540 nm. The refractive index of water is 4/3. The wavelength of the...
- Given below are two statements : Statement I: A satellite is moving around earth in the orbit very close to the earth surface....
- Given below are two statements : Statement I: An object moves from position r_1 to position r_2 under a conservative force field...
- A laser beam has intensity of 4.0 10^ 14 W/m². The amplitude of magnetic field associated with beam is ____ T. (Take _0=8.85 10^...
- Light is incident on a metallic plate having work function 110 10^ -20 J. If the produced photoelectrons have zero kinetic energy...
- Given below are two statements : Statement I: For a mechanical system of many particles total kinetic energy is the sum of...
- A conducting circular loop is rotated about its diameter at a constant angular speed of 100 rad/s in a magnetic field of 0.5 T...
- A capacitor P with capacitance 10 10^ -6 F is fully charged with a potential difference of 6.0 V and disconnected from the...
- A cylindrical conductor of length 2 m and area of cross-section 0.2 mm² carries an electric current of 1.6 A when its ends are...
- An insulated cylinder of volume 60 cm³ is filled with a gas at 27°C and 2 atmospheric pressure. Then the gas is compressed making...
- At T(K), 100 g of 98 % H_2SO_4 (w/w) aqueous solution is mixed with 100 g of 49 % H_2SO_4(w/w) aqueous solution. What is the mole...