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24451.

The ratio of the amount of two element X and Y at radioactive equilibrium is 1 : 2 xx 10^(-6). If the half-life period of element Y is 4.9 xx 10^(-4) days, then the half-life period of element X will be

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`4.8 xx 10^(-3)` days
245 days
122.5 days
None of these

Solution :`(N_(X))/(N_(y)) = (t_(1//2) (x))/(t_(1//2) (y)) , t_(1//2) (x) = (4.9 xx 10^(-4))/(2 xx 10^(-6)) = 245` days
24452.

The ratio of speeds of diffusion of two gases A and B is 1:4. If the mass ratio of A to B present in the given mixture is 2:1, then which of the following is the ratio mole-fraction of A to B?

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`2:3`
`1:8`
`2:1`
`1:2`

SOLUTION :`(r_(A))/(r_(B))=(1)/(4)=(n_(A))/(n_(B))sqrt((M_(B))/(M_(A)))`
`(1)/(4)=(m_(A)//M_(A))/(m_(B)//M_(B))sqrt((M_(B))/(M_(A)))`
`(1)/(4)=(m_(A))/(m_(B))((M_(B))/(M_(A)))^(3//2)`
`(1)/(4)=(2)/(1)((M_(B))/(M_(A)))^(3//2)`
`((M_(B))/(M_(A)))(8)^(2//3)=(1)/(4)`
`(n_(A))/(n_(B))=(m_(A))/(m_(B))XX(M_(B))/(M_(A))=(2)/(1)xx(1)/(4)`
=1:2
24453.

The ratio of specific heat at constant pressure to specific heat at constant volume (i.e. C_p//C_V) for noble gases is

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1.66
1.33
1.42
1.83

Answer :A
24454.

The ratio of specific charge (e/m) of an electron to that of a hydrogen ion is:

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1:1
1840:1
1:1840
2:1

Answer :B
24455.

The ratio of specific charge (e//m) of a proton and that of an alpha-particle is:

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ANSWER :2
24456.

The ratio of sigma and pi bonds present in XeO_4 molecule is

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`2 : 3`
`1 : 2`
`2 : 1`
`1 :1`

ANSWER :D
24457.

The ratio of sigma to pi bonds is benzene is :

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2
4
6
8

Answer :B
24458.

The ratio of sigma and pi-bonds in benzene is

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2
4
6
8

Solution :RATIO=`(SIGMA "BONDS")/(PI"bonds")=12/3=4`
24459.

The ratio of r.m.s. velocity and average velocity of a gas molecule at a particular temperature is :

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`1.086 :1`
`1: 1.086`
`2: 1.086`
`1.086: 2`

ANSWER :A
24460.

The ratio of relative rates of isopropyl bromide and ethyl bromide in S_N1 reaction is

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`11: 1`
` 1: 11`
` 1: 100`
` 1: 1000`

ANSWER :A
24461.

The ratio of rates of diffusion of hydrogen chloride and ammonia gases is

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`1: 1.46`
`1: 2.92`
`1.46:1`
`1: 0.73`

Solution :`(r_(HCl))/(r_(NH_(3))) = SQRT((M_(NH_(3)))/(M_(HCl))) = sqrt( (17)/( 36.5)) = ( 1)/( 1.46)`
24462.

The ratio of radius of 4th orbit of hydrogen and 3rd orbit of Li^(2+) is

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`256:9`
`9:16`
`16:3`
`32:9`

SOLUTION :`r_(N)=(0.059n^(2))/Z`
`r_(4)(H)=(0.059xx16)/1`
`r_(3)(Li^(2+))=(0.059xx9)/3, (r_(4)(H))/(r_(3)(Li^(2+)))=16/3`
24463.

The ratio of rate constants of a reaction at 300K and 291K is 2. Calculate the energy of activation. ("Given "R = "8.314JK"^(-1)" mol"^(-1)).

Answer»

SOLUTION :To find activation ENERGY for the reaction
Given `(K_(2))/(K_(1))=2, R=8.314, T_(1)=291K, T_(2)=300K`
`LOG"" (K_(2))/(K_(1))=(E_(a))/(2.303R)[(T_(2)-T_(1))/(T_(1)T_(2))]`
`log2=(E_(a))/(2.303xx8.314)[(300-291K)/(300xx291K)]`
`E_(a)=(2.303xx8.314xxlog2xx300xx291)/(9)=55.9kJ`
24464.

The ratio of rates of diffusion of CO_2 and SO_2 at the same P and T is :

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4:sqrt11
sqrt11:4
1:4
1:6

Answer :A
24465.

The ratio of rates of diffusion of CO_2 and SO_2 at the same temperature and pressure will be

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`4 : sqrt 11`
`11 : 4`
`1 : 4`
`1 : 6`

ANSWER :A
24466.

The ratio of radii of the first three Bohr orbits of H-atom is :

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`1:2:3`
`1:4:9`
`1:9: 27`
`1: sqrt(2) : sqrt( 3)`

ANSWER :B
24467.

The ratio of partial pressure of a gaseous component to the total vapour pressure of the mixture is equal to :

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MASS of the component
mole FRACTION of the component
mass % of the component
molecular mass of the component.

Answer :B
24468.

The ratio of p_(pi)-d_(pi) bonds is SO_(2) and SO_(3) molecules

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`1:1`
`1:2`
`2:1`
`2:3`

ANSWER :B
24469.

The ratio of oxygen atom havingoxidation no. inS_(2)O_(B)^(2-)is :

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SOLUTION :
24470.

The ratio of number of single and double P—Q bonds in P_(4)O_(10)is/are ____

Answer»

<P>

Solution :
`{:(P-O " BONDS" =4),(P-O" bonds"),("Single P - O"),(BAR"Single P - O"=12/4=3):} 12/4=3`
24471.

The ratio of number of oxygen atoms (O) in 16.0 g ozone (O_(3)), 28.0 g carbon monoxide (CO) and 16.0 g oxygen (O_(2)) is :- (Atomic mass : C = 12, O = 16 and Avogadro's constant N_(A) = 6.0 xx 10^(23) mol^(-1))

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`3 : 1 : 1`
`1 : 1 : 2`
`3 : 1 : 2`
`1 : 1 : 1`

ANSWER :D
24472.

The ratio of number of d pi - p pi bonds in XeO_(4) and SO_(3) is.

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Solution :`XeO_(4)` has four `d PI- p pi` BONDS while `SO_(3)` has two `d pi- p pi` bonds. THUS, the RATIO is 4 : 2 or 2 : 1.
24473.

The ratio of nucleons in O^16 and O^18 is:

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`8/9`
`4/5`
`9/8`
1

Answer :A
24474.

The ratio of most probable velocity, average velocity and root mran square velocity is

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`SQRT2 : SQRT(8/pi) : SQRT3 `
`1 : sqrt2 : sqrt3`
`sqrt2 : sqrt3 : sqrt8`
`sqrt1: sqrt(8pi) : sqrt3`

Answer :A
24475.

The ratio of masses of oxygen and nitrogen in as particular gaseous mixture is 1 : 4. The ratio of number of their molecule is : (Atomic mass Ag = 108, Br = 80)

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`1 : 8`
`3 : 16`
`1 : 4`
`7 : 32`

Answer :D
24476.

The ratio of masses of oxygen and nitrogen in a particular gaseous mixture is 1:4. The ratio of the number of their molecules is

Answer»

`3:16`
`1:4`
`7:32`
`1:8`

SOLUTION :Suppose the mass of `O_(2)` in the mixture = x G
Then, mass of `N_(2)` in the mixture = 4 x g
No. of moles of `O_(2)=(x)/(32)`
No. of moles of `N_(2)=(4X)/(28)`
As molecules are in the RATIO of their moles, ratio of their molecules is
`O_(2):N_(2)=(x)/(32):(4x)/(28)=(1)/(32):(1)/(7)=7:32`
24477.

The ratio of masses of oxygen and nitrogen in a particular gaseous mixture is 1 : 4. The ratio of number of their molecule is

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`1 : 4`
`7 : 32`
`1 : 8`
`3 : 16`

Solution :`(n_(O_(2)))/(n_(N_(2))) = (((m_(O_(2))))/((M_(O_(2)))))/(((m_(N_(2))))/((M_(n_(2)))))`
`= ((m_(O_(2)))/(m_(N_(2)))) (28)/(32) = (1)/(4) xx (28)/(32)`
`= (7)/(32)`
24478.

The ratio of masses of oxygen and nitrogen in a particular gaseous mixture is 1:4. the ratio of number of their molecules is:

Answer»

`1:8`
`3:16`
`1:4`
`7:32`

SOLUTION :Ratio of number of MOLECULES =Ratio of number of MOLES
`=n_(O_(2)):n_(H_(2))`
`=((w)/(m))_(O_(2)):((w)/(m))_(N_(2))`
`=(1)/(32):(4)/(28)=7:32`
24479.

The ration of mass per cent of C and H of an organic compound (C_(x)H_(y)O_(z)) "is"6:1. If one molecule of the above compound (C_(x)H_(Y)O_(z)) contains half as much oxygen as required to burn one molecule of compound C_(x)H_(Y) compleltely to CO_(2) and H_(2)O. The empirial formula of compound C_(x)H_(y)O_(z) is:

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`C_(3)H_(6)O_(3)`
`C_(2)H_(4)O`
`C_(2)H_(4)O`
`C_(3)H_(4)O_(2)`

ANSWER :A
24480.

The ratio of mass percent of C and H of an organic compound (C_(X)H_(Y)O_(Z)) is 6:1. If one molecule of the above compound (C_(X)H_(Y)O_(Z)) contains half as much oxygen as required to burn one molecule of compound C_(X)H_(Y) completely to CO_(2) and H_(2)O, the empirical formula of the compound C_(X)H_(Y)O_(Z) is

Answer»

`C_(3)H_(6)O_(3)`
`C_(2)H_(4)O`
`C_(3)H_(4)O_(2)`
`C_(2)H_(4)O_(3)`

Solution :CALCULATION of EMPIRICAL FORMULA of `C_(X)H_(Y)`.
As `C:H=6:1`, we have

`thereforeX=1, Y=2`
Equation for combustion of `C_(X)H_(Y)` is
24481.

The ratio of mass percent of C and H of an organic compound (C_(X)H_(Y)O_(Z)) is 6 : 1 If one molecule of the above compound (C_(X)H_(Y)O_(Z))contains half as much oxygen as required to burn one molecule of compound C_(X)H_(Y) completely to CO_(2) and H_(2)O. The empirical formula of compound C_(X)H_(Y)O_(Z) is

Answer»

`C_(2)H_(4)O`
`C_(3)H_(4)O_(2)`
`C_(2)H_(4)O_(3)`
`C_(3)H_(6)O_(3)`

ANSWER :C
24482.

The ratio of mass per cent of C and H of an organic compound (C_(x)H_(y)O_(z)) is 6:1. If one molecule of the above compound contains half as much oxygen as required to burn one molecule of the compound C_(x)H_(y) completely to CO_(2) and H_(2)OThe empirical formula of the compound C_(x)H_(y)O_(z) is

Answer»

`C_(2)H_(4)O_(3)`
`C_(3)H_(6)O_(3)`
`C_(2)H_(4)O`
`C_(3)H_(4)O_(2)`

Solution :Mole RATIO of C & H in 1 mole of `C_(x)H_(y)O_(z)= (6//12)/(1//1)= 1:2= x: y` . As 2Z mole of O (or z mole `O_(2)`) is used to combust one mole of `C_(x)H_(y)`
`overset("1 mole")(C_(x)H_(y)) + overset("z mole")(O_(2)) rarr CO_(2) + H_(2)O` , applying POAC for C, H and O, we GET, `z=x + (y)/(4)`, if x=1 and y= 2` therefore z=1.5` i.e., `C_(2)H_(4)O_(3)` should be the EMPIRICAL formula
24483.

The ratio of mass of 1 mole of sodium and 10^23atoms of sodium is :

Answer»

6.02
23
`(23)/(6.02)`
`23 xx 6.02`

SOLUTION :`("MASS of 1 MOLE i.e. " 6.02 xx 10^23 " atoms of SODIUM ")/("massof" 1 xx 10^23 " atoms of sodium ")`
` = (23)/((6.02 xx 10^23) xx 10^23) = 6.02`
24484.

The ratio of (Lambda_(m)/Lambda_(e)) for Ca_(3) (PO_(4))_(2) will be equal to :

Answer»


ANSWER :6
24485.

The ratio of ((Lambda_(m))/(Lambda_(c))) for Ca_(3)(PO_4)_2 will be equal to ...........

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Solution :`(^^_n)/(^^_e)=" valence FACTOR " = 6 , Ca_3 (PO_4)_2 , 3Ca^(+2) = 3 xx 2 =6`
24486.

The ratio of K_(p)//K_(c ) for the reaction :N_(2)(g)+O_(2)(g) hArr 2NO(g)is

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4
`0.25`
`0.5`
1

Answer :D
24487.

The ratio of kinetic energy and potential energy of an electron in any orbit is equal to:

Answer»

Zero
-1/2
-2
Infinity

Answer :B
24488.

The ratio of ionisation energy of H and Li^(2+) is

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`1:4`
`1:3`
`1:9`
`9:1`

ANSWER :C
24489.

The ratio of initial activities of two samples of redionuclides A and B are ((A_(A))/(B_(B))) = 1/(16). If t_(1//2) (A) "and" t_(1//2) (B) "are" 30min and 7.5 minactivity of both samples will be same ?

Answer»


ANSWER :40
24490.

The ratio of heats liberated at 298 K from the combustion of one kg of coke and by burning water gas obtained from 1kg of coke is (assume coke to be 100% carbon). (Given: Enthalpies of combustion of CO_(2),CO and H_(2) are 393.5 kJ, 285 kJ, 285 kJ respectively all at 298K)

Answer»

`0.79:1`
`0.69:1`
`0.86:1`
`0.96:1`

Solution :Number of moles in 1 kg coke`=(1000)/(12)=83.33mol`
For the combustion of 1 kg of coke
`C+O_(2) to CO_(2)""DeltaH=393.5kJ`
`implies`HEAT liberated from 1 mole of coke=393.5 kJ
`therefore`Heat liberated from 83.33 mole of coke
`H_(1)=(393.5xx83.33)kJ`
Also, for the BURNING of water gas
`C+H_(2)O to underset("Water gas")ubrace(CO+H_(2))`
`CO+H_(2)+O_(2)toCO_(2)+H_(2)O,DeltaH=285+285=570kJ`
`therefore`Ratio of heat liberated from burning of water gas obtained from 1 mole of coke
`H_(2)=(570xx83.33)kJ`
`therefore`REQUIRED ratio `=H_(1):H_(2)=393.5:570=0.69:1`
24491.

The ratio of heats liberated at 298 K from the combustion of one kg of coke and by burning watergas obtained from kg of coke is (Assume coke to be 100% carbon). (Given enthalpies of combustion of CO_2, CO and H_2 as 393.5 kJ, 285 kJ, 285 kJ respectively at 298 K).

Answer»

`0.79 : 1`
`0.69 : 1`
`0.86 : 1`
`0.96 : 1`

Solution :1 kg of coke `= (1000g)/(12 g mol^(-1)) = 83.33 mol`
`C + O_(2) rarr CO_(2)`
Heat liberated by BURNING 83.33 mol of coke
`= 83.33 xx 393.5 kJ`
`ubrace(CO + H_(2))_("water GAS") + O_(2) rarr CO_(2) + H_(2)O`
Heat liberated by burning 1 mol of water gas `= 285 + 285 = 570 kJ`.
Heat liberated by burning water gas obtained from 1 kg of coke `= 83.33 xx 570 kJ`
Ratio of heat liberated
Coke : water gas
`83.33 xx 393.5 : 83.33 xx 570`
`393.5 : 570`
`0.69 : 1`
24492.

The ratio of gamma = (C_(p) //C_(v))for inert gases is :

Answer»

1.33
1.66
2.13
1.99

Answer :B
24493.

The ratio of Fe^(3+) and Fe^(2+) ions in Fe_(0.9)9S_(1.0) is

Answer»

0.28
0.5
2
4

Answer :A
24494.

The ratio of everage speed, most probable speed and root mean square speed of a gas sample will be

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`sqrtfrac{4}{PI}:SQRT3:SQRT2`
`sqrtfrac{8}{pi}:sqrt2:sqrt3`
`sqrtfrac{16}{pi}:sqrt2:sqrt3`
`sqrt2:sqrtfrac{9}{pi}:sqrt3`

Answer :B
24495.

The ratio of enthalpy of vaporisation and the normal boilng point of a liquid approximately equals to (i)_____. The above statement follows the (ii)______. Choose the correct word to complete the above statement.

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(i) 88 J `mol^(-1)K^(-1)`, (ii) capacity rule
(i) 88 kJ `mol^(-1)K^(-1)`, (ii) Trouton's rule
(i) 88 kJ `mol^(-1)K^(-1)`, (ii) capacity rule
(i) 88 J `mol^(-1)K^(-1)`, (ii) Trouton's rule

Solution :The ratio of enthalpy of vaporisation and the normal boiling point of a LIQUID approximately EQUALS to 88 `JK^(-1)mol^(-1)`.
the above statement follows the trouton's rule.
24496.

The ratio of energy of photons of ddote= 2000 dotA" to that of " ddote= 4000 dotA is

Answer»

`(1)/(2)`
`(1)/(4)`
`2`
`4`

ANSWER :C
24497.

The ratio of energy of a photon of 2000Å wavelength radiation to that of 4000Å radiation is

Answer»

`1//4`
4
`1//2`
2

Answer :D
24498.

The ratio of energy of a photon of 2000Å wavelengt radiation to that 4000Å radiation is

Answer»

43834
4
43832
2

Solution :`(E_(1))/(E_(2))=(lamda_(2))/(lamda_(1))=4000/2000=2`
24499.

The ratio of electron , proton and neutron in tritium is :

Answer»

1 : 1 : 1
1 : 1: 2
2 : 1 : 1
1 : 2 : 1

Answer :B
24500.

The ratio of difference in energy between the first and second Bohr orbits to that of second and third Bohr orbits is

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`1//2`
`1//3`
`4//9`
`27//5`

ANSWER :D