Untitled Document

Question Bank No: 1

1. The distance about 50cm is measured using a meter stick having mm division. The percentage error is

a)		0.2 %
b)		0.4 %
c)		0.02 %
d)		0.002 %

2. The number of significant figures in 11.118 $\times$ $10^{- 6}$ V

a)		3
b)		4
c)		5
d)		6

3. Three measurements are made as 18.425 cm, 7.21 cm and 5 cm. The additions should be written as

a)		30.635 cm
b)		30.64 cm
c)		30.63 cm
d)		30.6 cm

4. Suppose the K.E of a body oscillating with Amplitude A and at a distance x is given by K = $\frac{Bx}{x^{2} + A^{2}}$ . The dimension of B are the same as

a)		work / time
b)		work $\times$ distance
c)		$\frac{work}{distance}$
d)		work $\times$ time

5. Which of the following do not have the dimesions of force?

a)		Potential gradient
b)		Energy gradient
c)		weight
d)		Rate of change of momentum

6. A solid cylinder rolls down an inclined plane without slipping. The velocity of the cylinder at the bottom of the plane of height h is given by

a)		$\frac{3 gh}{4}$
b)		$\sqrt{\frac{4 g}{h}}$
c)		$\sqrt{\frac{2 g}{h}}$
d)		$\sqrt{\frac{4 gh}{3}}$

7. The critical velocity $V_{c}$ of a body depends on the coefficient of viscosity $η$ , The density $ρ$ and radious of drop r. Then the expression for $V_{c}$ is

a)		$\frac{kr η}{ρ}$
b)		$\frac{k η}{ρ r}$
c)		$\frac{kr}{ρ η}$
d)		$\frac{ρ η}{kr}$

8. How many wavelengths of ${Kr}^{86}$ are there in one meter?

a)		1553164.13
b)		1650763.73
c)		2348123.73
d)		652189.63

9. The unit of Poynting vector are

a)		watt / meter
b)		watt / ${meter}^{2}$
c)		watt / $m^{2} / s$
d)		watt / sec

10. The dimensional formula of propagation vector

a)		$[M^{0} L T^{- 1}]$
b)		$[M^{0} L^{- 1} T^{0}]$
c)		$[M^{1} L^{- 1} T^{0}]$
d)		$[M^{- 1} L^{- 1} T^{0}]$

11. The density of a cube is measured by measuring its mass and length of its sides. If the maximum errors in the measurement of mass and length are 4% and 3% respectively, the maximum error in the measurement of density would be

a)		9%
b)		13%
c)		12%
d)		7%

12. Dimensions of Stefan's constant are

a)		${ML}^{2} T^{- 2}$
b)		${ML}^{2} T^{- 2} θ^{- 4}$
c)		${MT}^{- 3} θ^{- 4}$
d)		${ML}^{0} T^{- 2}$

13. The value of a liquid drop is 1.75 ${cm}^{3} . Total volume of 50 such drops to the correct number of significant figure is$

a)		87.50 ${cm}^{3}$
b)		87.5 ${cm}^{3}$
c)		88 ${cm}^{3}$
d)		87.500 ${cm}^{3}$

14. The value of 60 joule/min on a system which has 100g, 100cm, and 1 min as fundamental units is

a)		2.16 $\times 10^{6}$
b)		2.16 $\times 10^{4}$
c)		2.16 $\times 10^{3}$
d)		2.16 $\times 10^{3}$

15. The dimentions of $μ_{0^{l} / MB, where μ_{0}} is the magnetic permeability of free space, l is the moment of inertia, M is$ is the magnetic moment and b is the magnetic induction respectively are those of

a)		time
b)		${(time)}^{2}$
c)		${(time)}^{3}$
d)		${(time)}^{\frac{1}{2}}$

16. If the velocity of light(C), gravitational constant(G) and Plank's Constant(h) are chosen as fundamental units, then the dimentions of time are

a)		$C^{\frac{1}{2}} G^{- \frac{1}{2}} h^{\frac{1}{2}}$
b)		$C^{\frac{- 3}{2}} G^{\frac{1}{2}} h^{\frac{- 1}{2}}$
c)		$C^{\frac{1}{2}} G^{- \frac{3}{2}} h^{\frac{- 1}{2}}$
d)		$C^{\frac{- 5}{2}} G^{\frac{1}{2}} h^{\frac{1}{2}}$

17. If x= ${at + br}^{2}, where x is in meters and r is in hours, the units of b will be$

a)		metre
b)		metre/hour
c)		metre/ ${(hour)}^{2}$
d)		${(meter)}^{2} / hour$

18. A physical quantity X is represented by $P = M^{a} L^{b} T^{- c}$ and the maximum percentage errors in M. L abd T are $x %$ , $y %$ and $z %$ respectively, then the total maximum percentage error in P is

a)		$(xa + yb - zc) %$
b)		$(xa + yb + zc) %$
c)		$(xa - yb - zc) %$
d)		$(xa - yb + zc) %$

19. The velocity of sound in air is 332 m/s. If the unit of length is km and unit of time is hour, then the value of velocity is

a)		1146 km/h
b)		1195 km/h
c)		1086 km/h
d)		1218 m/h

20. Given that the amplitude A of scattered light is
i) directly proportional to the amplitude $(A_{0})$ of incident light
ii) directly proportional to the volume $(V)$ of the scattering light
iii) inversely proportional to the distance $(r)$ from the scattered particle
iii) depend upon the wavelength $(λ)$ of the scattered light, then

a)		$A \propto \frac{1}{λ}$
b)		$A \propto \frac{1}{λ^{2}}$
c)		$A \propto \frac{1}{λ^{3}}$
d)		$A \propto \frac{1}{λ^{4}}$

21. In the relation $x = R \cos (ω t - kx)$ , the dimensional formula for $ω t$ is same as that for

a)		$\frac{x}{R}$
b)		$\frac{kx}{R}$
c)		$\frac{k ω}{xt}$
d)		$\frac{ω R}{k}$

22. The height h to which a liquid of surface tension S and density $ρ$ rises in a capillary tube of radius r is given as

a)		h $= \frac{2 S \cos θ}{r g^{2} ρ}$
b)		h $= \frac{2 r ρ g}{S \cos θ}$
c)		h $= \frac{2 S \cos θ}{r ρ g}$
d)		h $= \frac{2 Sr \cos θ}{ρ g}$

23. The speed of gravity waves in water is proportional to $λ^{a} ρ^{b} g^{c}$ where $λ$ is the wavelength, $ρ$ is the density of water and g is the acceleration due to gravity. Which of the following relation is correct?

a)		a $= b = c$
b)		a $\neq b \neq c$
c)		a $\neq b = c$
d)		a $= b \neq c$

24. The unit of potential energy is

a)		gm $(\frac{cm}{\sec^{2}})$
b)		gm ${(\frac{cm}{\sec})}^{2}$
c)		gm $(\frac{{cm}^{2}}{\sec})$
d)		gm $(\frac{cm}{\sec})$

25. Dimensions of power are

a)		${ML}^{2} T^{- 3}$
b)		${ML}^{2} T^{- 2}$
c)		${ML}^{2} T^{- 1}$
d)		$ML T^{- 2}$

26. MLT is the dimension of

a)		power
b)		momentum
c)		force
d)		couple

27. The dimensional formula for impulse is

a)		${MLT}^{- 2}$
b)		${ML}^{2} T^{- 1}$
c)		${MLT}^{- 1}$
d)		$M^{2} {LT}^{- 1}$

28. The dimension of impulse are same as those of

a)		momentum
b)		velocity
c)		energy
d)		power