The dimensional formula of magnetic flux is

• [M¹L⁰T^-2A^-1]

• [M¹L²T^-1A^-1]

• [M¹L²T^-2A^-1]

• [M¹L²T⁰A^-1]

A physical quantity A is related to four observables a, b, c and d as follows

                 $\mathrm{A} = \frac{{\mathrm{a}}^2{\mathrm{b}}^3}{\mathrm{c}\sqrt{\mathrm{d}}}$

The percentage errors of measurement in a, b, c and d are 1 %, 3%, 2% and 2% respectively. What is the percentage error in the quantity A ?

• 12 %

• 7 %

• 14 %

• 16 %

A body starting from rest moves with constant acceleration. The ratio of distance covered by the body during the 5th second to that covered in 5 s is

• $\frac{9}{25}$

• $\frac{3}{5}$

• $\frac{25}{5}$

• $\frac{1}{25}$

The area under acceleration-time graph gives

• distance travelled

• change in acceleration

• force acting

• change in velocity

A particle is displaced from a position $\left(2\hat{\mathrm{i}} - \hat{\mathrm{j}} + \hat{\mathrm{k}}\right)$ to another position $\left(3\hat{\mathrm{i}} + 2\hat{\mathrm{j}} - 2\hat{\mathrm{k}}\right)$ under the action of the force of $\left(2\hat{\mathrm{i}} + \hat{\mathrm{j}} - \hat{\mathrm{k}}\right)$. The work done by the force in an arbitrary unit is

• 8

• 10

• 12

• 16

From the top of tower, a stone is thrown up. It reaches the ground in t₁ second. A second stone thrown down with the same speed reaches the ground in t₂ second. A third stone released from rest reaches the ground in t₃ second. Then

• ${\mathrm{t}}_3 = \frac{\left({\mathrm{t}}_1 + {\mathrm{t}}_2\right)}{2}$

• ${\mathrm{t}}_3 = \sqrt{{\mathrm{t}}_1{\mathrm{t}}_2}$

• $\frac{1}{{\mathrm{t}}_3} = \frac{1}{{\mathrm{t}}_1} - \frac{1}{{\mathrm{t}}_2}$

• ${{\mathrm{t}}_3}^2 = {{\mathrm{t}}_2}^2 - {{\mathrm{t}}_1}^2$

An object is projected at an angle of 45° with the horizontal. The horizontal range and maximum height reached will be in the ratio

• 1 : 2

• 2 : 1

• 1 : 4

• 4 : 1

If the length of the second's hand in a stop-clock is 3 cm, the angular velocity and linear velocity of the tip is

• 0.2047 rad/s, 0.0314 ms^-1

• 0.2547 rad/s, 0.314 ms^-1

• 0.1472 rad/s, 0.06314 ms^-1

• 0.1047 rad/s, 0.00314 ms^-1

A player caught a cricket ball of mass 150 g moving at the rate of 20 ms^-1. If the catching process be completed in 0.1 s, the force of the blow exerted by the ball on the hands of the player is

• 0.3 N

• 30 N

• 300 N

• 3000 N

A uniform metal chain is placed on a rough table such that one end of it hangs down over the edge of the table. When one-third of its length hangs over the edge, the chain starts sliding. Then, the coefficient of static friction is

• $\frac{3}{4}$

• $\frac{1}{4}$

• $\frac{1}{2}$

• $\frac{1}{3}$