A particle of mass m is at rest at the origin at time t = 0. It is subjected to a force F(t) = F0e−bt in the × dicection. Its speed v(t) is depicted by which of the following curves?
The vapour pressure of water at 202C is 17.5 mm Hf. If 18 g of glucose (C6H12O6) is added to 178.2 g of water at 20∘C, the vapour pressure of the resulting solution will be
A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is
The vector a=αi^+2j^+βk^lies in the plane of the vectors b=i^+j^and c=j^+k^and bisects the angle between band c. Then which one of the following gives possible values of αandβ?
Four species are listed below
i. HCO3− (ii) ii<iii<i<iv
iii. HSO4− iv HSO3F
Which one of the following is the correct sequence of their acid strength ?
In a shop there are five types of ice-creams available. A child buys six ice-creams.Statement -1: The number of different ways the child can buy the six ice-creams is 10C5.Statement -2: The number of different ways the child can buy the six ice-creams is equal to thenumber of different ways of arranging 6 As and 4 Bs in a row.
Relative permittivity and permeability of a material are ϵrandμr, respectively. Which of the following values of these quantities are allowed for a diamagnetic material ?
A thin rod of length 'L' is lying along the x-axis with its ends at x=0andx=L. Its linear density (mass/length) varies with x as k(Lx)n, where n can be zero or any positive number. If the position xCM of the centre of mass of the rod is plotted against 'n', which of the following graph best approximates the dependence of xCM on n ?