Free Printable NEET and JEE

1.

In the formula X = 3YZ², X and Z have dimensions of capacitance and magnetic induction respectively. What are the dimensions of Y in MKSQ system ?

a)

$M^{-3}L^{-1}T^3Q^{\text{4}}$

b)

$M^{-3}L^{-2}T^4Q^{\text{4}}$

c)

$M^{-2}L^{-2}T^4Q^{\text{4}}$

d)

$M^{-3}L^{-2}T^3Q^{\text{4}}$

2.

The dimension of $\left(\frac{1}{2}\right)\epsilon_0E^2\$ is ( $\epsilon_0$ :premittivity of free space,electric field)

a)

$MLT^{-1}$

b)

$ML^2T^{-1}$

c)

$ML^{-1}T^{-2}$

d)

$ML^{-2}T^{-2}$

3.

The sum of the magnitudes of two forces acting at point is 18 and the magnitude of their resultant is 12. If the resultant is at 90° with the force of smaller magnitude, what are the, magnitudes of forces

a)

12, 5

b)

14, 4

c)

5, 13

d)

10, 8

4.

The respective number of significant figures for the numbers 23.203,0.0003 and 2.1 X $10^3$ are :

a)

4,1,2

b)

5,1,2

c)

3,1,5

d)

4,5,1

5.

A screw gauge gives the following readings when used to measure the diameter of a wire.

Main scale reading : 0 mm

Circular scale reading : 52 divisions

given that 1 mm on main scale corresponds to 100 divisions of the circular scale .find the diameter of the wire

a)

0.026 cm

b)

0.005 cm

c)

0.52 cm

d)

.0.052 cm

6.

The period of oscillation of a simple pendulum is given by $T=2\pi\ \sqrt{\frac{l}{g}}$ where l is about 100 cm and is known to have 1mm accuracy. The period is about 2s. The time of 100 oscillations is measured by a stop watch of least count 0.1 s. The percentage error in g is

a)

0.1%

b)

2%

c)

0.2%

d)

8%

7.

The percentage errors in the measurement of mass and speed are 2% and 3% respectively. How much will be the maximum error in the estimation of the kinetic energy obtained by measuring mass and speed

a)

11 %

b)

8%

c)

5%

d)

1%

8.

The random error in the arithmetic mean of 100 observations is x; then random error in the arithmetic mean of 400 observations would be

a)

4x

b)

$\frac{1}{4}x$

c)

2x

d)

$\frac{1}{2}x$

9.

Which of the following is the dimensionless quantity:

a)

force of surface tension

b)

strain

c)

stress

d)

co-efficient of viscosity

10.

Dimensions of velocity gradient are same as that of

a)

time period

b)

frequency

c)

angular acceleration

d)

acceleration

NEET and JEE

Total questions: 10

Worksheet time: 20mins

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