Explore topic-wise InterviewSolutions in .

This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.

251.

The sum of the numbers 436.32, 227.2 and 0.301 in appropriate significant figures isA. 663.821B. 664C. 663.8D. 663.82

Answer» Correct Answer - C
`436.32+227.2+0.301=663.821` using rounding off it can be written as 663.8.
252.

If L denotes the inductance of an inductor through which a current i is flowing, the dimensions of Li2 are (A) [L2 M1 T-2] (B) Not expressible in LMT (C) [L1 M1 T-2] (D) [L2 M2 T-2]

Answer»

Answer is (A) [L2 M1 T-2]

\(\frac{1}{2}\) Li2 = energy stored in an inductor

= [M1 L2 T-2]

253.

The dimensional formula of magnetic flux is .....(A) [M1 L2 T-3 A-1] (B) [M1 L2 T–2A–1] (C) [M-1 L-2 T2 A1] (D) [M1 L3 T-2 A-1]

Answer»

Answer is (B) [M1 L2 T–2A–1]

254.

Dimensional formula for electrical field is ......(A) [M1 L2 T-3 A-2] (B) [M1 L2 T-3 A-1] (C) [M1 L1 T-3 A-1] (D) [M0 L0 T0 A0]

Answer»

Answer is (C) [M1 L1 T-3 A-1]

Electric Field = \(\frac{Force}{Charge}\) = \(\frac{[M^1L^1T^{-2}]}{[A^1T^1]}\)

[E] = [M1 L1 T-3 A-1]

255.

Dimensions of length in electric dipole moment, electric flux and electric field are respectively(A) L, L2 , L3 (B) L3 , L2 , L (C) L-1 , L3 , L3 (D) L, L3 , L

Answer»

Answer is (D) L, L3 , L

[Dipole moment] = [M0 L1 T1 A1

[Electric flux] = [M1 L3 T-3 A-1

[Electric field] = [M1 L1 T-3 A-1]

256.

The dimensional equation for the electrical resistance of a conductor is(A) [M1 L2 T2 I-1] (B) [M1 L2 T-2 I-1] (C) [M1 L1 T-3 I-2] (D) [M1 L2 T-3I-2]

Answer»

Answer is (D) [M1 L2 T-3I-2]

257.

The number of significant figures in 0.002305 is(A) 6 (B) 4 (C) 7 (D) 2

Answer»

Answer is (B) 4

258.

From the dimensional consideration, which of the following equations is correct?A. `T=2pisqrt(R^(3))/(GM)`B. `T=2pi sqrt(GM)/R^(3)`C. `T=2pi sqrt(GM)/(R^(2))`D. `T=2pi sqrt(R^(2)/(GM)`

Answer» Correct Answer - A
Taking, `T=2pi sqrt(R3)/(GM)` substituting the dimensions, `LHS=[T]RHS2pi|sqrt(R^(3)/(GM))|=sqrt([L]^(3)/([M^(-1)L^(3)T^(-2)][M]))=sqrt([T]^(2))=[T]`
`Thus, LHS=RHS for `T=2pisqrt(R^(3)/(GM))`
259.

Match the list-I with list-II  List-I  List-II P Boltzmann constant (I) [ML0T0] Q Coefficient of viscosity (II) [ML-1 T-1] R Water equivalent (III) [MLT-3 K-1] S Coefficient of thermal conductivity (IV) [ML2 T–2 K-1](A) P – III, Q – I, R – II, S – IV (B) P – III, Q – II, R – I, S – IV (C) P – IV, Q – II, R – I, S – III (D) P – IV, Q – I, R – II, S – III

Answer»

Answer is (C) P – IV, Q – II, R – I, S – III

Boltzmann constant (kB) = \(\frac{PV}{NT}\)

S.I. unit: J K-1 = [M1 L2 T-2 K-1]

Coefficient of viscosity (η) = \(\frac{F}{A\Big(\frac{dv}{dx}\Big)}\) 

S.I. unit : \(\frac{Ns}{m^2}\) ≡ [M1L-1T-1]

Water equivalent is the mass of water that will absorb or lose same quantity of heat as that of the substance for the same change in temperature.

S.I. unit : kg ≡ [M1 L0 T0]

Coefficient of thermal conductivity (K)

=   \(\frac{Q}{At\Big(\frac{Δθ}{Δx}\Big)}\) 

S.I. unit : J/ m s K ≡ [M1 L1 T-3 K-1]

260.

In the equation `((1)/(pbeta))=(y)/(k_(B)T)`, where `p` is the pressure, `y` is the distance, `k_(B)` is Boltzmann constant and `T` is the tempreture. Dimensions of `beta` areA. `[M^(-1)L^(1)T^(2)]`B. `[M^(0)L^(2)T^(0)]`C. `[M^(1)L^(-1)T^(-2)]`D. `[M^(0)L^(0)T^(0)]`

Answer» Correct Answer - B
Given equation,` (1)/(p beta)=(y)/(K_(B)T)` where , p= prossure,y=distance,
`k_(B)=` Boltzmann constant and T=temperature
Dimension of `[beta]=(["Dimensions of" k_(B)] ["Dimensions of" T])/(["Dimensions of p"]["Dimensions of Y"])`
`=([ML^(2)T^(3)][T])/([ML^(-1)T^(-2)][L])=[M^(0)L^(0)T^(0)]`
261.

Out of the following pairs, which one does NOT have identical dimensions? (A) Energy and moment of force (B) Work and torque (C) Density and surface energy (D) Pressure and stress

Answer»

Answer is (C) Density and surface energy

262.

Which one of the following pairs has the same dimensions ?A. Torque and ForceB. Energy and AccelerationC. Light Year and WavelengthD. Velocity and Momentum

Answer» Correct Answer - c
Both light year and wavelength denote lengths or distances and they have the same dimensional equation of `[M^(0)L^(1)T^(0)]`. (a), (b) and (d) are different physical quantities.
263.

The CGS unit of pressuure ______.

Answer» Correct Answer - dyne `cm^(-2)` or gwt `cm^(-2)`
264.

10 g of water occupies____`cm^(3)` of volume

Answer» Correct Answer - 10
265.

A ball is placed between two wooden blocks as shown in the figure. The volume of the sphere is_____ .A. `6.54cm^(3)`B. `1.15cm^(3)`C. `2.14m^(3)`D. `2.14cm^(3)`

Answer» Correct Answer - B
From the figure we can find out the diameter.
Diameter of the ball=1.3cm, radius `=(1.3)/(2)=0.65`cm
volume `=(4)/(3)xx(22)/(7)xx(0.65)^(3)=1.15cm^(3)`
266.

A ball is placed between two wooden blocks as shown in the figure. The volume of the sphere is_____ .A. `6.54cm^(3)`B. `1.15cm^(3)`C. `2.14m^(3)`D. `2.14cm^(3)`

Answer» Correct Answer - B
From the figure we can find out the diameter.
Diameter of the ball=1.3cm, radius `=(1.3)/(2)=0.65`cm
volume `=(4)/(3)xx(22)/(7)xx(0.65)^(3)=1.15cm^(3)`
267.

The weight of a body can be zero when ____acts on it.

Answer» Correct Answer - no gravitaional force
The weight of a body can be zero when no gravitational force acts on it.
268.

The density of water at `4^@C` is:A. 1 g `cm^(-3)`B. 100 kg `m^(-3)`C. 1000 g `cm^(-3)`D. 1 kg `m^(-3)`

Answer» Correct Answer - A
Density of water at `4^(@)C` is 1 g `cm^(-3)`.
269.

Which among the following is the unit of density?A. kg `m^(-3)`B. g `m^(-3)`C. kg `m^(-3)`D. All the above

Answer» Correct Answer - D
Density `=("mass")/("Volume")`
kg `m^(-3)`,g" "m^(-3)` and kg `cm^(-3)` are also unit of density.
270.

Sea breeze is due to thhe change in density of air with_____.A. change in temperatureB. chain in pressureC. change in windD. change is whether condition

Answer» Correct Answer - A
The see a breeze is due to the change in density of air with change in temperature.
271.

Density of water at `4^(@)C` is _____.A. 1 g `cm^(-3)`B. 100 kg `m^(-3)`C. 1000 g `cm^(-3)`D. 1 kg `m^(-3)`

Answer» Correct Answer - A
Density of water at `4^(@)C` is 1 g `cm^(-3)`.
272.

The density of liquid can measured by using a ______.A. spring balanceB. measuring cylinderC. density bottleD. physical balance

Answer» Correct Answer - C
The density of liquid can be measured by using a density bottle.
273.

If the area of a square field is 100 `cm^(2)`, then the length of the side is______A. 1 cmB. 1 mC. 0.1 mD. 10 m

Answer» Correct Answer - C
Area of square `=("side")^(2)=100cm^(2)`
Side=10cm=0.1m
274.

The area of a circle whose radius is 10 cm is _____.A. 314 `cm^(2)`B. 314 `m^(2)`C. 3.1415 `m^(2)`D. both a and b

Answer» Correct Answer - A
Area of circle `=pir^(2)`
`=pixx10^(2)=314cm^(2)`
275.

Volume of water is a burette is 35 ml. Find the volume of a drop of water if volume of water in the burette is 5 ml when 50 drops of water drained out

Answer» Voume of single drop of water `= (35-5)/(50)=0.6 "ml"`
276.

The least count of the vernier calipers shown in the figure is ________. A. 0.25 mmB. 0.025 mmC. 0.025 cmD. `250 mum`

Answer» Correct Answer - B
1 MSD = 0.5 mm
Number of vernier scale divisions (N) = 20
`therefore count = (1 MSD)/(N) = (0.05 mm)/(N) = 0.025 mm`
277.

S.I system of unit contains ......... supplementary unit. (A) 7 (B) 2 (C) many (D) 4

Answer»

S.I system of unit contains 2 supplementary unit.

278.

The SI unit of luminous intensity is ........... (A) watt (B) lux (C) lumen (D) candela

Answer»

Answer is (D) (D) candela

279.

Which of the following is a supplementary unit? (A) steradian (B) candela (C) kelvin (D) pascal

Answer»

Answer is (A) steradian

280.

The dimensional formula for impulse is the same as dimensional formula for ....... (A) acceleration (B) force (C) momentum (D) rate of change in momentum

Answer»

Answer is (C) momentum

281.

The number of significant figures in 52340000 isA. 8B. 4C. 5D. 6

Answer» Correct Answer - b
Four, the number should be written as `5234xx10^(4)`.
282.

The length and breadth of a metal sheet are 2.325 m and 3.142 m respectively. What is the area of this sheet using proper number of significant figures?A. `7.30515m^(2)`B. `7.3051m^(2)`C. `7.305m^(2)`D. `7.31m^(2)`

Answer» Correct Answer - c
Area = `Lxxb=2.325xx3.142=7.30515m^(2)`
L and b have four significant figures. Hence rounding off the number 7.30515 to four significant figures, we get the area of the sheet = `7.305m^(2)`
283.

The order of magnitude of 49 and the order of magnitude of 51 (A) is same. (B) differs by 1. (C) is 1. (D) is 2.

Answer»

Answer is (B) differs by 1

284.

Which of the following represents a unified atomic mass unit (1u)? (A) 8.333 x 10-1 of the mass of an atom of 12C in kg (B) 0.8333 x 10-1 of the mass of an atom of 12C in g (C) 8.333 x 10-1 of the mass of an atom of 12C in g (D) 0.8333 x 10-1 of the mass of an atom of 12C in kg

Answer»

Answer is (D) 0.8333 x 10-1 of the mass of an atom of 12C in kg

285.

Which of the following equations is dimensionally correct? (A) pressure = Energy per unit volume (B) pressure = Energy per unit area (C) pressure = Momentum x volume x time (D) pressure = Force x area

Answer»

Answer is (A) pressure = Energy per unit volume

286.

How will you express the number 43,410,00 in powers of ten?A. `4.341xx10^(5)`B. `4.341xx10^(6)`C. `4.341xx10^(7)`D. `4.341xx10^(8)`

Answer» Correct Answer - b
For this 7 digit number, we shift the decimal point from right to left 6 times and get the number 4.341000. But as each shift to left is equivalent to dividing the number by ten, we compensate it by multiplying it by `10^(1)`.
Thus in this case for 6 shifts, we have to multiply by `10^(6)` and hence the number is expressed as `4.341xx10^(6)`.
287.

In the expression A = xy3/z2 the percentage error is given by(A) \(\Big(\frac{Δx}{x}+3\frac{Δy}{y}-2\frac{Δz}{z}\Big)\)x 100%(B) \(\Big(\frac{Δx}{x}+\frac{3Δy}{y}+\frac{2Δz}{z}\Big)\)x 100%(C) \(\Big(\frac{Δx}{x}-\frac{3Δy}{y}-\frac{2Δz}{z}\Big)\)x 100%(D) \(\Big(\frac{Δx}{x}-3\frac{Δy}{y}+2\frac{Δz}{z}\Big)\)x 100%

Answer»

Answer is (B) \(\Big(\frac{Δx}{x}+\frac{3Δy}{y}+\frac{2Δz}{z}\Big)\)x 100%

288.

Universal time is based on (A) rotation of the earth on its axis. (B) Earth’s orbital motion around the Sun. (C) vibrations of cesium atom. (D) oscillations of quartz crystal.

Answer»

Answer is (C) vibrations of cesium atom

289.

The area of a square plot is 100 `m^(2)`. Then the value of its perimeter is____m.

Answer» Correct Answer - 40
290.

Which of the following is NOT a characteristic of a good unit? (A) It is invariable. (B) It is reproducible. (C) It is perishable. (D) It is easily available.

Answer»

Answer is (C) It is perishable.

291.

We know that every derived quantity can be written in terms of some of the fundamental quantities. For example, volume = `("length")^(3), "speed" = ("lenght")/("time")`. Using the definitions of the following quanitities, express force in terms of fundamental quantities. Represent mass as [M], length as [L] and time as[T]. (i) Displacement = shortest distance betweenj the inital and final positions. (ii) Velocity = `("displacement")/("time")` (iii) Momentum = `"mass" xx "velocity"` brgt (iv) Force = `("momentum")/("time")`

Answer» (i) Speed = `(distance)/(time)`
(ii) [L]
(iii) `[LT^(-1)]`
(iv) `[MLT^(-1)]`
(v)`[MLT^(-2)]`
292.

Units are classified into ........ groups. (A) 2 (B) 4 (C) 5 (D) 6

Answer»

Answer is (A) 2

4 is the correct answer...☺
293.

The physical quantity having the same unit in all the systems of unit is ........... (A) length (B) time (C) mass (D) foot

Answer»

Answer is (B) time

294.

If the magnitude of length is halved and that of mass is doubled then dimension of force is(A) [M2L-2 T-2] (B) [M2L-1/2T-2] (C) [M2L1/2T-2] (D) [M1L1 T-2]

Answer»

Answer is (D) [M1L1 T-2]

The dimension of a quantity is independent of changes in its magnitude.

295.

The number of significant figures in all the given numbers 25.12, 2009, 4.156 and 1.217 x 10-4 is (A) 1 (B) 2 (C) 3 (D) 4

Answer»

Answer is (D) 4

The number of significant figures in all of the given number is 4.

296.

The number of significant figures in 0.400 is (A) 1 (B) 2 (C) 3 (D) 4

Answer»

Answer is (C) 3

297.

A paper cutting is placed on a graph a as shown in the figure, each division on the X and Y axes represents a distance off 1 cm. The area of the paper cutting is `"__________"` `cm^(2)`.A. 100B. 112C. 93D. 96

Answer» Correct Answer - C
we can divide the given figure into 5 rectangles.
Total area =` 15+24+24+12+18=93 cm^(2)`
298.

The mass of an empty density bottle is 50 g. When it is completely filledwith water, its mass is foundto be 100 g and when itiscompletly filledwith aliquid,its mass is 150 g. The density of the liquid is `"_________"` kg `m^(-3)`.A. (a) 2B. (b) 2000C. (c ) 3.5D. (c )3500

Answer» Correct Answer - B
Mass of the empty density bottle,` m_(1)` =50 g
Mass of he bottle with water, `m^(2)` = 100 g
Mass of te bottle with liquid, `m_(3)` =150 g
Volume v = dxxm = 1xx50 = 50 `cm^(3)`
Density ofliquid =
mass of liquid/volume of liquid=`(m_(3)-m_(1))/v=(150-50)/(100-50`
= `100/50= 2 " g "cm^(-3)=2000 " kg "m^(-3)`
299.

A paper cutting is placed on a graph a as shown in the figure, each division on the X and Y axes represents a distance off 1 cm. The area of the paper cutting is `"__________"` `cm^(2)`.A. 100B. 112C. 93D. 96

Answer» Correct Answer - C
we can divide the given figure into 5 rectangles.
Total area =` 15+24+24+12+18=93 cm^(2)`
300.

A paper cutting is placedon a graph as shownin the figure, each on he X and Y axes represens a distance of2 cm. The area of the paper cutting is `"_________"` ` Cm^(2)`.A. (a) 378B. (b) 186C. (c ) 312D. (d) 156

Answer» Correct Answer - C
We can divide the paper cutting into 3 rectangles of dimension`(9xx3), (11xx3), (9xx2)`
Area = `(9xx3) + (11xx3) + (9xx2)` = 78,
but 1 div = 2 cm
Area = `78xx4` =312 `cm^(2)`