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151.

The density of the solid cylindrical bar shown in the figure is` 5xx 10^(3)` kg `m^(-3)` . The weight of the bar is `"_________"` N. (take g=10 m `s^(2)`A. (a) 157B. (b) 1570C. (c ) 320D. (d) 3.2

Answer» Correct Answer - A
Density = `5xx10^(3) " Kg " m^9-3)`
volume= `pixx(radius)^(2)xxheight`
=` 3.14xx(0.1^(2))xx 0.1` = 0.00314 `m^(3)`
Density =`mass/volume
Mass = density xx volume = `5xx10^(3)xx 0.0314`=15.7 kg
Weight =` mxxg= 15.7xx 10= 157 N`
152.

The density of the solid cylindrical bar shown in the figure is` 5xx 10^(3)` kg `m^(-3)` . The weight of the bar is `"_________"` N. (take g=10 m `s^(2)`A. (a) 157B. (b) 1570C. (c ) 320D. (d) 3.2

Answer» Correct Answer - A
Density = `5xx10^(3)` kg `m^(-3)`
Volume =`pi xx (radius)^(2) xx height` = `3.14 xx (0.1^(2))xx0.1` = 0.00314 "" `m^(3)` Density =`"mass"/"volume"` Mass = `density xx volume` = `5 xx 10^(3) xx 0.00314` = 15.7 " kg "
Weight = `mxx g =15.7 xx 10` = 157 " N "
153.

Which of the following statements is incorrect?A. As the temperature of gas increases, its volume increases.B. As the temperature of a gas increases, its density decreases.C. As the temperatrue of a gas increases, its density increases.D. both a and b

Answer» Correct Answer - B
154.

Which of the following statements is//are incorrect?A. (a) The weight os a body can be zero.B. (b) The weight of a body can be greater than zero.C. (c ) The mass of a body can be zero.D. (d) Both (a) and (c ).

Answer» Correct Answer - C
Mass of a body can never be zero and the weight can be zero if th acceleration due to gravity is zero.
155.

The whole length of a metre scale is divided into 500 equal parts then the smallest measurement that can be measured by using the scale is `"_______"`.A. (a) 0.5B. (b) 0.005 mC. (c ) 50 mmD. (d) 2 mm

Answer» Correct Answer - D
Total distance = 1 m is divided into 500 equal parts, then the length of one division
`1/500m = 0.002 " m "=2 " mm "`.
156.

Which among the following is (are) the units(s) of pressure?A. (a) N `m^(-2)`B. (b) gwt `cm^(-2)`C. (c ) kgwt `m^(-2)`D. (d) All the above.

Answer» Correct Answer - D
N `m^(-2)`, gwt `cm^(-2)` and kgwt `m^(-2)` are the units of pressure.
157.

`(X^(2)/("Mass"))` has the dimensions of kinetic energy. Then X has the dimensions ofA. PressureB. ImpulseC. TorqueD. Force

Answer» Correct Answer - b
`(X^(2))/(m)=K.E.=(1)/(2)mv^(2)`
`therefore X^(2)=(1)/(2)m^(2)v^(2) therefore X=(1)/(sqrt(2))mv`
Thus X has the dimensions of momentum i.e. [`M^(1)L^(1)T^(-1)]`.
Out of the four quantities given above,
Impulse = `(Fxxt)` has the dimensions
`[L^(1)M^(1)T^(-2)xxT^(1)]=[L^(1)M^(1)T^(-1)]`
`therefore` X has the dimensions of impulse.
158.

The volume of a body having density 1 g `cm^(-3)` and mass 100 g is _____ `cm^(3)`.A. 100B. 50C. `(1)/(100)`D. `(1)/(50)`

Answer» Correct Answer - A
`d=(m)/(V)`
`V=(m)/(d)=(100)/(1)=100cm^(-3)`
159.

A cylinder of height 1 m and radius 10 cm is fully filled with water, the volume of water is _____`m^(3)`.A. 3.14B. 0.314C. 0.0314D. 314

Answer» Correct Answer - C
Volume of cylinder `=pir^(2)h=pixx(0.1)^(2)xx1`
`=0.0314m^(3)`.
160.

Two spheres made of different materials have their masses in the rato of 1:2. If the diameter of the first sphere is equal to the radius of the second sphere, tehn determine the ratio dinsities volume of sphere = `(4)/(3) pir^(3)`

Answer» Density =` (mass)/(volume)`
(ii) `(d_(1))/(d_(2))=((m_(1))/(v_(1)))/(m_(2)/(v_(2)))=(m_(1))/(m_(2))xx(v_(2))/(v_(1))` =
`=(m_(1))/(m_(2))xx((4)/(3)pir_(2)^(3))/((4)/(3)pir_(1)^(3))=(m_(1))/(m_(2))xx((r_(2))/(r_(1)))^(3)`
(iii) 4 : 1
161.

A physics student Ram was given an empty density bottle, a physical balance and a certain liquid. He first found the weight of empty density bottle to a be 50 gf When completely filled with a liquid, it weighs 130 gf. He calculated the density of the liquid. What could be his answer?

Answer» Mass of the eempty bottle = 50 " g "
Mass of water = 100- 50= 50 " g "
Mass of the liquid = 130 - 50 = 80 " g "
Volume of the liquid = 50 " " `cm^(3) ltbr. (` :. Volume of 1 " g " water = 1 ml)`
Density of the liquid = `"mass"/"volume" = 80/50 = 1.6 " g " cm^(-3)`.
162.

The change in volume of a gas with change in temperature is plotted on a graph, as shown in he figure. Calculate the ratio of density at `50 ^(@)C and 100 ^(@)C`

Answer» Volume at `50 ^(@)C = 20 " "cm^(3)`
Volume at `100 ^(@)C =30" "cm^(3)`
Density = "mass"/"volume"
Ratio of density `30/20 = 3/2 = 3 : 2`
163.

The densities fo three substances A, B and C are given below. If equal voumes of A, B and C are taken, arrange then in increasing order of their masses.

Answer» `d_(A)= 2 " g " cm^(-3)`
` d_(B) = 1 " kg " m^(-3)`
=`(1000)/(10^(6) cm^(3))=10^(-3) " g " cm^(-3)`
`d_(c)=3 " g " m^(-3) =3 " g "xx10^(-6)cm^(-3)= 3xx 10^(-6) " g "cm^(-3)`
`d_(A)gt d_(B) gt d_(c):. m_(A) gt m_(B) gt m_(C)`
164.

The force F on a sphere of radius r moving in a medium with velocity v is given by `F = 6 pi eta rv`. The dimensions of `eta` areA. `[ML^(-3)]`B. `[MLT^(-2)]`C. `[MT^(-1)]`D. `[ML^(-1)T^(-1)]`

Answer» Correct Answer - D
`f=6n etarv`
`eta=(f)/(6pirv)=(MLT^(-2))/([L][LT^(-1)])=ML^(-1)T^(-1)`
165.

The physical quantity which has dimensional formula as that of `("energy")/("mass"xx"length")` isA. ForceB. PowerC. PressureD. acceleration

Answer» Correct Answer - d
`|("Energy")/("Mass "xx" Length")|=[("Force "xx" Displacement")/("Mass "xx" Length")]`
`=[(M^(1)L^(1)T^(-2)xxL^(1))/(M^(1)xxL^(1))]=[L^(1)T^(-2)]`= [Acceleration]
The physical quantity is acceleration.
166.

Given that `y = a cos((t)/(P) - qx),` where t represents distance is metre. Which of the following statements is true ?A. The unit of x is same as that of qB. The unit of x is same as that of pC. The unit of t is same as that of qD. The unit of t is same as that of p

Answer» Correct Answer - D
Since `(t)/(p)` shouls have unit of anfle i.e. unitless, hance unit of t is same as that of p.
167.

A physical quantity Q is given by `Q=Q_(0)e^(-alphat^(2))` where t is the time and `alpha` is a constant. What is the dimensional formula for `alpha`?A. `[alpha]=[L^(0)M^(0)T^(0)]`B. `[alpha]=[L^(1)M^(0)T^(-1)]`C. `[alpha]=[L^(0)M^(0)T^(-2)]`D. `[alpha]=[L^(1)M^(1)T^(-1)]`

Answer» Correct Answer - c
`Q=Q_(0)e^(-alphat^(2))`
The power of an exponential quantity is dimensionless.
`therefore [alphat^(2)]=[L^(0)M^(0)T^(0)]`
`therefore alpha=(1)/(t^(2))=[(1)/(T^(2))]=[T^(-2)]`
`therefore [alpha]=[M^(0)L^(0)T^(-2)]`
168.

The dimensions of `a/b` in the equation `P=(a-t^(2))/(bx)` where `P` is pressure, `x` is distance and `t` is time areA. `[M^(1)L^(1)T^(-2)]`B. `[M^(0)L^(2)T^(-2)]`C. `[M^(1)L^(1)T^(1)]`D. `[M^(1)L^(0)T^(-2)]`

Answer» Correct Answer - d
`P=(a-t^(2))/(bx)=(a)/(bx)-(t^(2))/(bx)`
According to principle of homogeneity of dimensions, each term should have the same dimensions.
`therefore [P]=[(a)/(bx)] therefore [("Force")/("Area")]=[(a)/(b)xx(1)/(x)]`
`therefore [(M^(1)L^(1)T^(-2))/(L^(1)xxL^(1))]=[(a)/(b)xx(1)/(L)]`
`therefore [(a)/(b)]=[M^(1)L^(-1)T^(-2)xxL^(1)]=[M^(1)L^(0)T^(-2)]`
169.

One femtometer is equivalent to(A) 1015 m (B) 10-15 m (C) 10-12 m (D) 1012 m

Answer»

Answer is (B) 10-15 m

170.

The number of significant figures in 5.00456 isA. 5B. 3C. 4D. 6

Answer» Correct Answer - d
All zeros occurring between two non zero digits are significant. The given number has six significant figures.
171.

to construct a seconds pendulum having a length of 100 cm the value of g should be ?A. `pi m s^(-2)`B. `100 pi m s^(-2)`C. `(1)/(pi^(2)) m s^(-2)`D. `pi^(2) ms^(-2)`

Answer» Correct Answer - D
172.

when the jaws of a standard vernier calipers are closed if the nth division of the veriner scale coincides with the nth M.S.D the zero error is `"______"`

Answer» Correct Answer - `+n xx L.C. `
173.

When the jaws of a vernier calipers are in contact the eight division of the vernier scale coincides with the seventh division of the main scale . If N is the number of division on the vernier scale and least count x then the zero error corrections isA. `-8x`B. `(N-8)`C. `(N-8)x`D. `+8x`

Answer» Correct Answer - B
174.

Light year is a unit for the measurement of .......(A) distance (B) time(C) temperature (D) luminous intensity

Answer»

Answer is (A) distance

175.

If the conductance of a conductor (G) is `(I^(2)t)/(W)` where I is current t is time and w is work done then the unit of conductance expressed in terms of fundamental units is `"________"`A. `(A^(2)s^(3))/(kg^(2)m) `B. `(A^(2)s^(3))/(kg^(-2)m)`C. `(A^(2)s^(3))/(kgm^(2))`D. `(A^(2)s^(3))/(kg^(2)m^(-2))`

Answer» Correct Answer - C
176.

The sensitivity of a physical balance is increased by the use of `"________"`A. knife edgesB. leveling screwsC. plumb lineD. light pans

Answer» Correct Answer - A
177.

A ............ is the interval from one noon to the next noon. (A) mean solar day (B) solar day (C) lunar day (D) day

Answer»

Answer is (B) solar day

178.

In cesium atomic clock ........ is used. (A) cesium-122 atom (B) cesium-132 atom (C) cesium-133 atom (D) cesium-134 atom

Answer»

Answer is (C) (C) cesium-133 atom

179.

The atomic, molecular and nuclear phenomena are the parts of ........... domain. (A) macroscopic (B) microscopic (C) mega scopic (D) electroscopic

Answer»

Answer is (B) microscopic

180.

In which of following system, scientific data can be exchanged between different parts of the world?(A) M.K.S. (B) C.G.S. (C) F.P.S. (D) S.I.

Answer»

Answer is (D) S.I.

181.

Out of the following units, which is NOT a fundamental unit?(A) newton (B) second (C) pound (D) kg

Answer»

Answer is (A) newton

182.

Temperature can be expressed as a derived quantity in terms of (A) length and mass (B) mass and time (C) length, mass and time (D) none of these

Answer»

Answer is (D) none of these

Temperature is a fundamental quantity.

183.

The radius of the earth is 6400 km, the order of magnitude is (A) 107 m (B) 104 m (C) 103 m (D) 102 m

Answer»

Answer is (A) 107 m

184.

The least coun of a vernier calipers is 0.01 cm and if the zero mark of the vernier scale is right of zero of the main scale and the vernier coincidence is 7 when the jaws are in contact then the zero error is `"_______"` cm.A. `+6 xx 0.01`B. `+7 xx 0.01`C. `-7 xx 0.01`D. `- 6 xx 0.01`

Answer» Correct Answer - B
The error is prositive
`:. ` Positive zero error = + n `xx` L.C. =+ 7 `xx` 0.01
185.

The order of magnitude of 0.00045726 `m s^(-1)` is `"______"`

Answer» Correct Answer - `-4`
186.

The number of significant figures in `11.118xx10^(-6)` V isA. 3B. 4C. 5D. 6

Answer» Correct Answer - C
Power of 10 is not a significant figure.
:. So, there are 5 significant figures in given number.
187.

Numerical value of the magnitude of a physical quantity isA. directly proportional to magnitude of the unitB. inversely proportional to magnitude of the unitC. independent of system of unitD. either (a) or (b)

Answer» Correct Answer - b
The numerical value of the magnitude of a physical quantity is inversely proportional to the magnitude of the unit.
188.

The zero error of the vernier calipers shown in the figure is _________. A. `+ 100 mum`B. `+ 0.01 cm`C. 0.1 mmD. All of the above

Answer» Correct Answer - D
VCD for zero error = 4
Since the zero of the vernier scale is to the right of the zero of the main scale, the error is positive.
` therefore "zero error" = + n xx L.C`
`=+ 4 xx 0.025 mm`
` =+ 0.100 mm`
`=+ 0.01 cm =+ 100 mum`
189.

Maran walks 1.5 km every day to reach the school while Mahizhan walks 1400 m. Who walks more distance and by how much?

Answer»

Distance which Maran walks = 1.5 km = 1.5 × 1000 m = 1500 m

The distance which Mahizhan walks = 1400 m.

Here 1500 > 1400

∴ Difference = 1500 – 1400 = 100 m.

∴ Maran walks more distance = 100 m.

190.

In which of the following numerical values, all zeros are significant?A. `0.2020`B. `20.0`C. `2020`D. `None of these

Answer» Correct Answer - B
Only in 20.2 all zero are significant becouse in this number zero lines between two digits.
191.

How many glasses of the given capacity will fill a 2 litre jug?(i) 100 ml ……….(ii) 50 ml ……….(iii) 500 ml ………(iv) 1 l ………(v) 250 ml ………

Answer»

(i) 20

(ii) 40

(iii) 4

(iv) 2

(v) 8

192.

If you serve a cup of coffee measuring 150 ml each for 200 people find the volume of coffee needed in litres?

Answer»

For one cup of coffee it needs 150 ml.

For 200 people it needs 150 × 200 ml = 30000 ml = 30000 × 1/1000 l = 30 l

Coffee needed = 30 l.

193.

If N divisions on the vernier scale are equal to (N-2) divisions on the main scale then the least count Is `"______"`

Answer» Correct Answer - `(1 M.S.D)/(N)`
194.

Compare and put > or < or = in the following:(i) 800 g + 150 g ____ 1 kg(ii) 600 ml + 400 ml ____ 1 l(iii) 6 m 25 cm ____ 600 cm + 25 cm(iv) 88 cm ____ 8 m 8 cm(v) 55 g ____ 550 mg

Answer»

(i) 800 g + 150g < 3kg

(ii) 600 ml + 400 ml = 1 l

(iii) 6 m 25 cm = 600 cm + 25 cm

(iv) 88 cm < 8 m 8 cm

(v) 55 g > 550 mg

195.

If the number of divisions on a vernier scale is 20 and the least count of the instrument is 0.025 mm, then 1 M.S.d. = __________ cm.

Answer» Correct Answer - 0.05 cm
196.

How many metre are there in a light year?A. `5.5xx10^(15)m`B. `7.6xx10^(15)m`C. `9.46xx10^(15)m`D. `3.8xx10^(14)m`

Answer» Correct Answer - c
Light year = Distance travelled by light in one year
= Speed of light (in m/s) `xx` time (in sec)
`=3xx10^(8)xx365xx30xx24xx60xx60`
`=9.46xx10^(15)m`
197.

The density of a body is 500 kg `m^(-3)`. Then its equivalent value in CGS system is______.

Answer» Correct Answer - o.5 g cm^(-3)
198.

9 m 4 cm is equal to _____(a) 94 cm(b) 904 cm(c) 9.4 cm(d) 0.94 cm

Answer»

(b) 904 cm

9 m 4 cm is equal to 904 cm.

199.

The CGS unit of volume is____.

Answer» Correct Answer - `cm^(3)`
200.

The density o a substance in CGS system is 4 g `cm^(-3)`. Its density in SI system is____ kg `m^(-3)`.A. 4B. 40C. 400D. 4000

Answer» Correct Answer - D
1 g `cm^(-3)=1000" kg "m^(-3)`
so, `2g" "cm^(-3)=2000" kg "m^(-3)`.