Questions Related to physics

Multiple choice physics measurement of physical quantities kinds of units fundamental quantities standardized measurement

A dimensionless quantity

  1. never has a unit

  2. always has unit

  3. may have a unit

  4. does not exit

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A dimensionless quantity is that is always independent of basic $7$ units:-meter, second, kilogram, Kelvin, Candela, ampere.

But it is not necessary. A dimensionless quantity is unitless. And eg, for this, is radian (unit of angle), which is dimensionless quantity because it is the ratio of two lengths.

Multiple choice physics measurements and units kinds of units fundamental quantities standardized measurement

Some physical quantities are given in Column I and some possible SI units in which these quantities may be expressed are given in Column II. Match the physical quantities in Column I with the units in Column II.

Column I Column II
i. $GM _eM _s$ a. (volt) (coulomb) (metre)
ii. $3RT/M$ b. $(kilogram)(metre)^3 (second)^2$
iii. $F^2/q^2B^2$ c. $(meter)^2 (second)^{-2}$
iv. $GM _e/R _e$ d. $(farad) (volt)^2 (kg)^{-1}$


where G is universal gravitational constant; $M _e$ mass of the earth; $M _s$, mass of sun; $R _e$ radius of the earth; R, universal gas constant;T, absolute temperature; M, molar mass, F, force; q, charge; B, magnetic field.

  1. $i \rightarrow b., ii \rightarrow c.,d., iii \rightarrow c.,d., iv \rightarrow c.,d.,$
  2. $i \rightarrow a., ii \rightarrow c.,d., iii \rightarrow c.,d., iv \rightarrow c.,d.,$
  3. $i \rightarrow d., ii \rightarrow c.,d., iii \rightarrow c.,d., iv \rightarrow c.,d.,$
  4. $i \rightarrow c., ii \rightarrow c.,b., iii \rightarrow c.,d., iv \rightarrow c.,d.,$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

i. GM_eM_s is energy related (potential), ii. 3RT/M is velocity squared (m^2/s^2), iii. F^2/q^2B^2 is velocity squared, iv. GM_e/R_e is velocity squared. Matching these to the provided units leads to B.

Multiple choice physics measurement of physical quantities kinds of units fundamental quantities standardized measurement

Pressure (P), density $\displaystyle (\rho )$ and velocity (V) be taken as fundamental quantities for dimensional analysis.

  1. True

  2. False

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
Pressure is calculated as   $P = \dfrac{Force}{Area}$
Density  $\rho = \dfrac{Mass}{Volume}$

Velocity  $V = \dfrac{Displacement}{time}$

So, pressure, density and velocity are derived from other quantities and so, these are termed as derived quantities , not fundamental quantities.
Hence, the given statement is false.
Multiple choice physics newton's laws of motion weightlessness application of newton's law of motion escape velocity

A 50.0 kg boy is sitting on an amusement park ride where he accelerates straight upward from rest to a speed 30.0 m/s in 3.0 s. What is his mass as he accelerates upward?

  1. 990.0 kg

  2. 100.0 kg

  3. 50.0 kg

  4. 5.00 kg

  5. 0 kg

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Mass of an object always remains constant whether the object is accelerating or not. Apparent weight of the object changes due to acceleration.

Hence the mass of the boy is $50$ kg even he accelerates upward.
Thus option C is correct.

Multiple choice physics newton's laws of motion weightlessness application of newton's law of motion escape velocity

A plumb bob is hung from the ceiling of a train compartment. the train moves on an inclined track of inclination $30^\circ $ with horizntal. The acceleration of train up the plane is $a=\,g/2$. The angle which the string supporting the bob makes with normal to the ceiling in equilibrium is-

  1. $30^\circ $
  2. ${\tan ^{ - 1}}\left( {2/\sqrt 3 } \right)$
  3. ${\tan ^{ - 1}}\left( {\sqrt 3/2 } \right)$
  4. ${\tan ^{ - 1}}\left( 2 \right)$
Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice physics newton's laws of motion weightlessness application of newton's law of motion escape velocity

A man of mass 'm' stands on a weighing machine in a lift

List - I  List-II
(a) Lift moves up with uniform acceleration a  (d) mg
(b) Lift moves down with uniform acceleration a (e) m(g$+$a)
(c) Lift moves down with uniform velocity (f) m(g-a)
  1. $a\rightarrow e,b\rightarrow f,c\rightarrow d,$
  2. $a\rightarrow d,b\rightarrow f,c\rightarrow e,$
  3. $a\rightarrow d,b\rightarrow e,c\rightarrow f,$
  4. $a\rightarrow f,b\rightarrow d,c\rightarrow e,$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

When the lift moves $UP$ with uniform acceleration $a$ $Pseudo$ force on the man is $ma$ downward.

Net downward force is $mg+ma$. Hence, $e$

When the lift moves $down$ with uniform acceleration $a$ $Pseudo$ force on the man is $ma$ upward.
Net downward force is $mg+ma$. Hence, $f$


When the lift moves down with $uniform \ velocity$, only force acting is gravity.

Hence net force on man is $mg$. Hence, $d$

Multiple choice physics newton's laws of motion weightlessness application of newton's law of motion escape velocity

A passenger in a train hangs a stone from a string and holds it vertically. It is observed that the string is vertical as seen from the man.
Which of the following could be true about the motion of the train?
I. The train is at rest.
II. The train is moving with a constant velocity.
III. The train is increasing its speed.
IV. The train is decreasing its speed.

  1. I only

  2. III only

  3. I or II, but not III or IV

  4. III or IV, but not I or II

  5. IV only

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When the train is either at rest or moving with constant velocity, then the acceleration of the train is zero and hence there is no pseudo force acting on the stone in the horizontal direction which makes the string tied to the stone to stay in vertical direction.

If the train either increases or decreases its speed, then the stone experiences a pseudo force in the horizontal direction due the acceleration of train and thus the string gets tilted by some angle with the vertical direction. 
Thus option C is correct.

Multiple choice physics newton's laws of motion weightlessness application of newton's law of motion escape velocity

When a car accelerates rapidly forward, the heads of people in the car seem to jerk backward.
This is best explained by which of the following?

  1. The action is the car accelerating forward; the reaction is the heads accelerating backward

  2. Large forward velocities cause large backward accelerations

  3. The inertia of people's heads is not as big as the inertia of the car

  4. The people's heads initially have no force to accelerate them forward. The heads momentarily remain at rest until the necks and /or head rests apply forward forces to the heads to accelerated then forward

  5. The forward momentum of the car results in an equal backward momentum of the people's head to conserve momentum

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

This happens due to inertia of rest . initially both car and people are in rest , when car accelerates rapidly , feet of the people also accelerates with car because they are in contact with the floor of car , but heads of the people do not accelerates quickly because they want to be in rest due inertia of rest therefore people feel a jerk .