Free Printable MEASUREMENTS

1.

$P=\frac{\alpha}{\beta}e^{-\frac{az}{k\theta}}$
The variation of pressure P with distance z is given by the above expression.
where $\alpha,\beta\$ are constants, k is Boltzmann constant and
$\theta$ is temperature. The dimensional formula of $\beta$ will be_______

a)

$\left[M^{-1}L\ T^2\right]$

b)

$\left[M^0L^0T^0\right]$

c)

$\left[M^0L^2T^0\right]$

d)

$\left[M^1L^{-1}T^{-2}\right]$

2.

If the force (F), velocity (V) and time (T) are chosen as the fundamental units, the dimensions of mass are:

a)

$\left[FVT^{-1}\right]$

b)

$\left[FVT^{-2}\right]$

c)

$\left[FV^{-1}T^{-1}\right]$

d)

$\left[FV^{-1}T\right]$

3.

The dimensional formula for energy E is

a)

$\left[ML^2T^{-2}\right]$

b)

$\left[ML^{ }T^{-2}\right]$

c)

$\left[ML^2T^{ }\right]$

d)

$\left[L^2T^{-2}\right]$

4.

Find the dimensions of a/b in the relation

F\ =\ a\sqrt{x}\ +\ bt^2

where F is force, x is distance and t is time

a)

$\left[L^{ }T^2\right]$

b)

$\left[L^{-\frac{1}{2}}T\right]$

c)

$\left[L^{-1}T^2\right]$

d)

$\left[L^{-\frac{1}{2}}T^2\right]$

5.

$X\ =\ A\ +\ vt$
In the above expression X is distance, v is velocity and t is time. The dimensions of A will be equivalent to ________

a)

time

b)

velocity

c)

distance

d)

none of the options

6.

Find the result of 12.637- 2.42 with proper significant figures

a)

10.217

b)

10.2

c)

10.22

d)

10

7.

Find the result of 46.75/1.3 with proper significant figures

a)

35.96

b)

36

c)

35.9

d)

35.961

8.

Round off the below number up to 4 digits

377234

a)

377200

b)

377.222

c)

377

d)

30000

9.

A physical quantity is x is given by

x\ =\ a^2\times b^2

If the percentage errors of a and b are 3% and 1% respectively then calculate the percentage error in the calculation of x

a)

9%

b)

6%

c)

8%

d)

7%

10.

If the time period of a pendulum is measured as 2.1 s, 2.2 s, 2.1 s and 2.2 s. The mean absolute error will be

a)

0.15

b)

0.05

c)

0.1

d)

2.15

MEASUREMENTS

Total questions: 10

Worksheet time: 13mins

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