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A particle of mass m moving in the x direction with speed 2v is hit by another particle of mass 2m moving in the y direction with speed v. If the collision is perfectly inelastic, the percentage loss in the energy during the collision is close to

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A compound with molecular mass 180 is acylated with $CH_{3}COCl$ to get a compound with molecular mass 390. The number of amino groups present per molecule of the former compound is:

The period of oscillation of a simple pendulum is $T=2πgL .$ Measured value of L is 20.0 cm known to 1 mm accuracy and time for 100 oscillations of the pendulum is found to be 90 s using wrist watch of 1 s resolution. The accuracy in the determination of g is :

The vapour pressure of acetone at $20_{∘}C$ is 185 torr. When 1.2 g of a non - volatile substance was dissolved in 100 g of acetone at $20_{∘}C$, its vapour pressure was 183 torr. The molar mass $(gmol_{−1})$ of the substance is :

If the number of terms in the expansion of $(1−x2 +x_{2}4 )_{n},x=0,$is 28, then the sum of the coefficients of all the terms in this expansion, is :

The x-coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as (0, 1), (1, 1) and (1, 0) is

Synthesis of each molecule of glucose in photosynthesis involves:

The angle between the lines whose direction cosines satisfy the equations $l+m+n=0$and $l_{2}=m_{2}+n_{2}$is

Which of the following complex species is not expected to exhibit optical isomerism?