An office opens at 9 a.m. and closes at 5 p.m. with a lunch interval of 30 minutes. What is the ratio of lunch interval to the total period in office?

A lunch interval of half an hour is 5 % of the total office hours. Calculate the total office hours.

An object thrown verticallly up from the ground passes the height 5 m twice in an interval of 10 s. What is its time of flight?

A steel wire of length 4.7m and cross-section 3.0 xx 10^(-5) m^(2) stretched by the same amount as a copper wire of length 3.5m and cross-section 4.0 xx 10^(-5) m^(2) under a given load. What is the ratio of Young's modulus of steel to that of copper ?

A steel wire of length 4.7 m and cross-section 3.0 xx 10 ^(2) m ^(2) stretches by the same amount as a copper wire of length 3.5 m and cross-section 4.0x x 10^(2) m^(2) under a given load. What is the ratio of the Young.s modulus of steel to that of copper?

Consider reaction in which reactant R is converted into product P : RtoP . When the initial concentration of R^(') is 0.5M The half life of the reaction is 20 minute. When the initial concentration is increased to 1.3 M, the half life decreases to 7.69 minute. Q. What is the rate canstant of the reaction?

A man throws balls with the same speed vertically upwards one after the other at an interval of 2s. What should be the speed of the throw so that more than two balls are in the sky at any time ? (Given g = 9.8 m//s^(2) )

A man starts from his home and walks 50 m towards, then he turns towards east and walks 40 m and then reaches to his office after moving 20 m towards south. (i) What is the total distance covered by the man from his home to office ? (ii) What is his displacement from his home to office ?

A photocopy machine is initially loaded with 5,000 sheets of paper. The machine starts a large job and copies at a constant rate. After 20 minutes, it has used 30% of the paper. Which of the following equations models the number of sheets of paper, p, remaining in the machine m minutes after the machine started printing?

When a patient receives a penicillin injection, the kidneys begin removing the penicillin from the body. The table and graph above show the penicillin concentration in a patient’s bloodstream at 5 minute intervals for the 20 minutes immediately following a one-time penicillin injection. The penicillin concentration, in micrograms per milliliter, in the patient’s bloodstream t minutes after the penicillin injection is modeled by the function P defined by P t = 200b^(t/5) . If P approximates the values in the table to within 10 micrograms per milliliter, what is the value of b, rounded to the nearest tenth?

A pipe of length 1.5 m closed at one end is filled with a gas and it resonates at 30^(@)C in its fundamental with a tuning fork. Another pipe of the same length but open at both ends and filled with air and it resonates in its fundamental with the same tuning fork. Calculate the velocity of sound at 0^(@)C in the gas, given that the velocity of sound in air is 360 m s^(-1) at 30^(@) .