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451.	The pressure on a square plate is measured by measuring the force on the plate and the length of one side of the plate. The errors in the measurement of force and length are 3% and 2% respectively. The maximum error in the value of the pressure would beA. `5%`B. `6%`C. `7%`D. `8%`
Answer» Correct Answer - c Pressure `=("Force")/("Area")orP=(F)/(A)=(F)/(L^(2))` `therefore` The maximum possible percentage error will be `((deltaP)/(P))_(max)xx100=((deltaF)/(F))xx100+2((deltaL)/(L))xx100` `=3%+(2xx2)%=7%`

452.	The length of the string of a simple pendulum is 102.6 cm and the diameter of the bob is 2.56 cm. What is the effective length of the simple pendulum by using the correct number of significant figures? (Rounding off is not to be considered.)A. 103 cmB. 103.88 cmC. 103.8 cmD. 103.9 cm
Answer» Correct Answer - c The effective length of the simple pendulum = Length of the string + radius of the bob `=102.6cm+(2.56)/(2)cm` `therefore L=102.6+1.28=103.88cm` But in addition and subtraction, the result should have the minimum number of decimal places, which are present in the added quantities. In this case, 102.6 cm has only one decimal figure. `therefore` The effective length of the simple pendulum, by using correct number of significant figures is 103.8 cm. [Note : If we use rounding off method, then the answer will be 103.9.] [0.88 is rounded off to 0.9]

453.	Which one of the following is not a unit of length?A. AngstromB. PascalC. Ligth yearD. Parsec
Answer» Correct Answer - b Angstrom and Light year are units of length. Pascal is a unit of pressure and 1 parsec = 3.28 light year. This is also a unit of length.

454.	The value of gravitation is `G = 6.67 xx 10^(-11)N-m^(2)/(kg^(2))` in SI units . Convert it into CGS system of units .A. `6.67xx10^(8)`B. `6.67xx10^(-8)`C. `5.67xx10^(-8)`D. `5.67xx10^(8)`
Answer» Correct Answer - B The dimensional formula of G is `[M^(-1)L^(3)T^(-2)]` The convert a physical quantity from one system of unit to other system of unit, We use the following formula `n_1[M_(1)^(-1)L_(1)^(-2)]=n_(2)[M_(2)^(-1)L_(2)^3T_(2)^(-2)]` `n_(2)=n_(1)[(M_(1))/(M_(2))]^(-1)[(L_(1))/L_(2)]^(-2)[(T_(1))/(T_(2))]^(-2)` `n2=6.67xx10^-11[(1Kg)/(10^-3Kg)]^(-1)[(1m)/(10^(-2)m)]^3[(1s)/(1s)]^(-2)` or`n2=6.67xx10^(-8)` Thus, value of G in CGS system of units is `6.67xx10^(-8)` dyne `cm^(2)//g^(2)`

455.	An atlas of India is drawn by taking scale 10 cm=15000 km. If the actual distance between the cities of Bhopal and cochin is 1500 km, the distance between the two places in the atlas will be_____cm.A. 10B. 1C. 10000D. 1000
Answer» Correct Answer - A scale: 100 cm = 15,000 km 15,000 km = 100 cm 1 km =`100//15,000` " cm 1500 km = 10 cm

456.	The distance between the sun and the earth is 1,49,500,000,000 m. How will you express it in powers of ten?A. `1.495xx10^(10)m`B. `1.495xx10^(12)m`C. `1.495xx10^(11)m`D. `1.495xx10^(-11)m`
Answer» Correct Answer - C For this 12 digit number, we shift the decimal point from right to the left 11 times and write the number as `1.495xx10^(11)`m.

457.	The length and breadth of a metal sheet are 3.124 m and 3.002 m respectively. What is the area of this metal plate ? (Use significant figures)A. `9.378 m^(2)`B. `9.37 m^(2)`C. `9.3782 m^(2)`D. `9.378248 m^(2)`
Answer» Correct Answer - a Area = `3.124xx3.002=9.378248` As there are 4 significant figures in the original measurements the area of the metal plate is given by 9.378 m^(2).

458.	The diameter of a circular ring is 6.28 cm. What is its circumference, taking into account the significant figures?A. 19.72 cmB. 19.7 cmC. 19.73 cmD. 19.8 cm
Answer» Correct Answer - B `R=(6.28)/(2)=3.14cm` `therefore` Circumference `=2piR=2xx3.14xx3.14=19.72cm` But there are 3 significant figures, in the measurement of radius. `therefore` Circumference = 19.7 cm.

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