A count rate meter is used to measure the activity of a given sample.At one instant .the meter shown 4,750 counts `min ^ (-1)`. Five minutes later,it shown 2,700 counts `min^(-1)`. Find the decay constant

Calculate the half-life of a first order reaction from their rate constants given below: 2 min^(-1)

A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is tan ^(-1)((1)/(2)) . Water is poured into it at a constant rate of 5 cu m/min. Then, the rate (in m/min) at which the level of water is rising at the instant when the depth of water in the tank is 10 m. Water is a natural resource. What is the importance of water in our daily life?

A point source of gamma - radiatonhas a half-life of 30 minutes.The intitial count rate recorded by Geiger counter placed 2 m from the source is 360 s^(-1) .The distnace between the counter and the source is altered.After 1.5 hours,the count rate recorded is 5 s^(-1) .What is th new distnace between the counter and the source?

A substance reacts according to the law of first order reaction the velocity constant of the reaction is 1.0 xx 10^(-2) sec^(-1) . lfinitial conc. of the substance is 0.1 M Find ont the rate after 1 min.

The value of decay constant of Co^(60) is 2.5xx 10^(-7)"min"^(-1) . The activity of 2.0 g of the sample is nearly :

The apparent depth of water in cylindrical water tank of diameter 2 R cm is reducing at the rate of x cm //min when water is being drained out at a constant rate .The amount of water drained in c.c. per minute is (mu_(1) = refractive index of air, mu_(2) = refractive index of water)

The integrated rate equations can be fitted with kinetic data to determine the order of a reaction. The integrated rate equations for zero, first and second order reactions are : Zero order : [Al =-kt+ [A]_0 First order : log [A] = -(kt)/2.303 + log [A]_0 Second order : 1/([A])=kt+1/[A]_0 These equations can also be used to calculate the halt life periods of different reactions, which give the time during which the concentration of a reactant is reduced to half of its initial concentration, i.e, at time t_(1//2), [A] = [A]_0//2 Answer the following (1 to 5) question : The decomposition of nitrogen pentoxide : 2N_2O_5(g) rarr 4NO_2(g) + O_2(g) is a first order reaction. The plot of log [N_2O_5] vs time (min) has slope = - 0.01389. The rate constant k is

Shown in the figure a spring fixed at the bottomm end of all incline of inclination 37^@ . A small block of mass 2 kg starts slipping down the incline form a point 4.8 m aaway from the spring. The block compresses the spring by 20 cm, stops momentarily and then rebounds through a distance of 1 m up the incline. Find the spring constant of the spring Take g = 10 ms^-2