Measurement MCQs for NEET — Physics Questions with Answers

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If P represents radiation pressure, c represents speed of light and Q represents radiation energy striking a unit area per second, then non-zero integers x, y and z such that PxQycz is dimensionless, are 

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Explanation

By substituting the dimension of given quantities [ML−1T−2]x[MT−3]y[LT−1]z=[MLT]0

 

 

x+y=0                   - i-x+z=0               -ii-2x-3y-z=0     -iiiWe will try to express y and z in terms of x & substitute in iii    From i  y = -x      From ii    z = x                                        Also comparing these 2 euqationz=-yPutting in iii       -2x-3-x-x=0           3x-3x=0            0=0

As you can see, in equation (iii) everything is cancelling. We need one more equation to find values. But if one variable is given, others can be found.

Ex:   If   x=1  Then   z=1    and   y=-1So in Question, if options are, for values of x, y and z1  1, 1, -12  1, -1, 13  -1, 1, 14  1, 1, 1   Then option 2 is correct.

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Inductance L can be dimensionally represented as 

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Explanation

E=12Li2 hence L=[ML2T−2A−2]

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Dimensions of strain are

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Explanation

Strain is dimensionless.

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Dimensions of time in power are 

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Explanation

Dimensions of power is [ML2T−3] 

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Dimensional formula for torque is 

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Explanation

Torque = force × distance = [ML2T−2]  

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Dimensions of coefficient of viscosity are 

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Explanation

F=−η . Advdx⇒[η] = [ML−1T−1]

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The dimension of quantity (L/RCV) is 

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Explanation

LRCV=[LR]  1CV=TQ=[A−1]  

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The dimension of the ratio of angular to linear momentum is 

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Explanation

Angular momentumLinear momentum=mvrmv=r=[M0L1T0] 

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The pair having the same dimensions is 

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Explanation

Dimension of work and torque = [ML2T−2] 

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The dimensions of surface tension are 

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Explanation

Surface tension = ForceLength=[MLT−2]L=[MT−2]  

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