The density of a material in CGS system of units is 4 g cm^-3. In a system of units in which unit of length is 10 cm and unit of mass is 100 g, then the value of density of material will be

(a)

0.04

(b)

0.4

(c)

40

(d)

400

While measuring acceleration due to gravity, by a simple pendulum, a student makes a positive error of 1% in the length of the pendulum and a negative error , of 3% in the value of time period. The percentage error in the measurement of 'g' is _______________.

(a)

2%

(b)

4%

(c)

10%

(d)

7%

If 'a_m' and '\(\triangle a_m\)' are true value and mean absolute error respectively, then the magnitude of the quantity may lie between____________.

(a)

a_m + a_n to a_m - a_n

(b)

a_m-\(\Delta\)a_m to a_m + \(\Delta\)a_m

(c)

2a_m to \(\Delta\)a_m

(d)

0 to 2a_m

The unit of moment of force_______

(a)

Nm²

(b)

Nm

(c)

N

(d)

NJ rad

Odd one out ________

(a)

strain

(b)

refractive index

(c)

numbers

(d)

stress

Unit of impulse_______________

(a)

NS²

(b)

NS

(c)

Nm

(d)

Kgms^-2

Length cannot be measured by _______________

(a)

fermi

(b)

angstrom

(c)

parsec

(d)

debye

A ball is thrown vertically upward. It has a speed of 10 m/sec when it has reached one half of its maximum height. How high does the ball rise?(Take g = 10 m/s²)

(a)

10 m

(b)

5 m

(c)

15 m

(d)

20 m

"norm" of the vector represents ______________.

(a)

only magnitude

(b)

only direction

(c)

both magnitude and direction

(d)

either magnitude or direction

If \(\hat n\) is a unit vector along the direction of \(\vec A\), the \(\hat n\) is ____________.

(a)

\(\vec AA\)

(b)

n x A

(c)

\(\frac{\vec A}{A}\)

(d)

\(\vec A|A|\)

If \(\vec p=m\vec V\) then the direction of \(\vec P\) along ____________.

(a)

m

(b)

v

(c)

both (a) and (b)

(d)

neither m nor v

If \(\vec A\) and \(\vec B\) are two vectors, which are acting along x, y respectively, then \(\vec A\times \vec B\) lies along ____________.

(a)

x

(b)

y

(c)

z

(d)

none

A bullet is dropped from some height, when another bullet is fired horizontally from the same height. They will hit the ground ____________.

(a)

depends upon mass of bullet

(b)

depends upon the observer

(c)

one after another

(d)

simultaneously

If a body moving in a circular path with uniform speed, then _____________.

(a)

the acceleration is directed towards its centre

(b)

velocity and acceleration are perpendicular to each other

(c)

speed of the body is constant but its velocity is varying.

(d)

all the above

Twelve forces each of magnitude 10N acting on a body at an angle of 30° with other forces then their resultant is __________.

(a)

10 N

(b)

120 N

(c)

\(\frac{10}{\sqrt{3}}\)

(d)

zero

If \(\vec{r_1}\) and \(\vec{r_2}\) are position vectors, then the displacement vector is _______________.

(a)

\(\vec{r_1}\times \vec{r_2}\)

(b)

\(\vec{r_1}.\vec{r_2}\)

(c)

\(\vec{r_1}+\vec{r_2}\)

(d)

\(\vec{r_2}+\vec{r_1}\)

A car starting from rest, accelerates at a constant rate x from sometimes after which it decelerates at a constant rate y to come to rest. If the total time elapsed is t, the maximum velocity attained by the car is given by ______________.

(a)

\(\frac{xy}{x+y}t\)

(b)

\(\frac{xy}{x-y}t\)

(c)

\(\frac{x^2y^2}{x^2+y^2}t\)

(d)

\(\frac{x^2y^2}{x^2-y^2}t\)

An object is moving in a straight line with uniform acceleration, the velocity-displacement relation is ______________.

(a)

V = u + 2as

(b)

\(S=ut+\frac{1}{2}at^2\)

(c)

V² = u² - 2as

(d)

V² = u² + 2as

In uniform circular motion ___________.

(a)

Speed changes but velocity constant

(b)

Velocity changes but speed constant

(c)

both speed and velocity are constant

(d)

both speed and velocity are variable

Which of the following graph represents the equation y = mx - C?

(a)

(b)

(c)

(d)

Two projectiles of same mass and with same velocity are thrown at an angle of 60° and 30° with the horizontal then which of the following will remain same?

(a)

time of flight

(b)

range of projectile

(c)

maximum height reached

(d)

all the above

A heavy iron rod of weight W is having its one end on the ground and the other on the shoulder of a man. The rod makes an angle ፀ with the horizontal. What is the weight experienced by the man?

(a)

W sin ፀ

(b)

W cos ፀ

(c)

W

(d)

\(\frac { W }{ 2 } \)

A block is kept on a frictionless inclined surface with angle of inclination ∝, The incline is given an acceleration a to keep the block stationary. Then a is equal to _____________.

(a)

g cosec ∝

(b)

g

(c)

\(\frac { g }{ tan\ \alpha } \)

(d)

g tan ∝

The surface over which blocks are placed is smooth. What is the acceleration of each block in the given diagram?
  F=27N

(a)

9 m/s²

(b)

3 ms^-2

(c)

2 ms^-2

(d)

0.33 ms^-2

If the temperature and pressure of a gas is doubled the mean free path of the gas molecules

(a)

remains same

(b)

doubled

(c)

tripled

(d)

quadrapoled