List of practice Questions

A capacitor having capacity of $2.0 \,\mu$ F is charged to $200 \,V$ and then the plates of the capacitor are connected to a resistance wire. The heat produced in joule will be

Electric field and potential inside hollow charged conducting sphere are respectively where $q$ and $r$ are the charge and radius of given sphere

The average weight of $25$ boys was calculated to be $78.4\, kg$. It was later discovered that one weight was misread as $69$ kg instead of $96 \,kg$. The correct average is

The mean and standard deviation of $100$ observations were calculated as $40$ and $5.1$, respectively by a student who took by mistake $50$ instead of $40$ for one observation. Find the correct standard deviation.

The mean deviation from the median of the following set of observations 5, 3, 9, 12, 3, 10, 12, 21, 18, 12, 21 is

The mean marks of 120 students is 20. It was later discovered that two marks were wrongly taken as 50 and 80 instead of 15 and 18. The correct mean of marks is

The mean of $100$ observations is $50$ and their standard deviation is $5$. The sum of all squares of all the observations is

The mean of 12 numbers is 24. If 5 is added in every number, the new mean is

The mean of $5$ observations is $4.4$ and their variance is $8.24$. If three of the observations are $1$, $2$ and $6$, find the other two observations.

The mean of the first n terms of the A.P. (a + d) + (a + 3d) + (a + 5d) + .... is

The mean of the given data is $30$. If total data is $70$, then missing numbers are

The mean of two samples of size 200 and 300 were found to be 25, 10 respectively. Their standard deviations were 3 and 4 respectively. The variance of combined sample of size 500 is

The mean weight of a group of 10 items is 28 and that of another group of n items is 35. The mean of combined group of 10 + n items is found to be 30. The value of n is

The most stable measure of central tendency is

$ C{{H}_{3}}C{{H}_{2}}C{{H}_{2}}OH $ and $ {{H}_{3}}CC{{H}_{2}}OC{{H}_{3}} $ are:

Number of stereoisomers of lactic add is

$0.92 \,g$ of an organic compound was analysed by combustion method. The mass of the $U$-tube increased by $1.08 \,g$. What is the percentage of hydrogen in the compound?

Consider the following carbocations : I. $Cl_3 \overset{+}C$ II. $Cl_{2} \overset{+} {C}H$ III. $Cl \overset{+} {C}H_{2}$ IV. $ \overset{+} {C}H_{3}$ The stability sequence follows the order

$1$-Butene and cyclobutane show

59 g of an amide obtained from a carboxylic acid, RCOOH, upon heating with alkali liberated 17 g of ammonia. The acid is

A compound with molecular formula $C_4H_4O$ has all the four carbon atoms and the oxygen atom inthe ring. It also has two double bonds. The compound is

A gas is found to have the formula (CO)$^n$. If its vapour density is 56, the value of n will be

A mixture of acetone (b.p. 56$^\circ$) and methanol (b.p. 65$^\circ$) can be separated by

A mixture of benzoic acid and naphthalene can be separated by crystallization from

A mixture of two immiscible liquids may be easily separated by using a