Tag: measuring mass

Questions Related to measuring mass

Multiple choice physics measurements and units measuring mass measurement of mass measuring instruments

A body of mass $32 \,kg$ is suspended by a spring balance from the roof of a vertically operating lift and going downward from rest. At the instants the lift has covered $20 \,m$ and $50 \,m$, the spring balance showed $30 \,kg$ and $36 \,kg$ respectively. Then the velocity of the lift is:

  1. decreasing at $20 \,m$ and increasing at $50 \,m$

  2. increasing at $20 \,m$ and decreasing at $50 \,m$

  3. continuously decreasing at a steady rate throughout the journey

  4. constantly increasing at constant rate throughout the journey.

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

According to Fbd

We know that,

$N=m\left( g-a \right)$

So, if $N<mg$

It is a case of downward acceleration

Then, the velocity is increase

Again, if $N>mg$

It is a case of downward retardation

Then, the velocity is decreases

Hence, the velocity is increasing at $20$ m and decreasing at $50\ m$

Multiple choice physics measurements and units measuring mass measurement of mass measuring instruments

A $20 N$ metal block is suspended by a spring balance. A beaker containing some water is placed on a weighing machine which reads $40 N$. The spring balance is now lowered so that the block gets immersed in the water. The spring balance now reads $16 N$4. The reading of the weighing machine will be -  

  1. $36 N$

  2. $60 N$

  3. $44 N$

  4. $56 N$

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The block loses 20 N - 16 N = 4 N of weight due to buoyancy. By Newton's third law, the water exerts an upward force of 4 N on the block, and the block exerts a downward force of 4 N on the water. The weighing machine reading increases by 4 N: 40 N + 4 N = 44 N.

Multiple choice physics measurements and units measuring mass measurement of mass measuring instruments

Two equal masses m and m are hung from a spring balance whose scale pans differ in vertical height by h. If $\rho$ is the mean density of earth ,then what is the error in weighing?

  1. $\frac { 8 } { 3 } \pi \mathrm { G\rho m h }$

  2. $\frac { 4 } { 3 } \pi \mathrm { G\rho m h }$

  3. $\frac { 5 } { 3 } \pi \mathrm { G\rho m h }$

  4. $\infty$

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The difference in gravitational potential due to the height difference h leads to a weight difference. The formula for the error in weighing due to gravity gradient is (8/3) * pi * G * rho * m * h.

Multiple choice physics measurements and units measuring mass measurement of mass measuring instruments

A boy whose mass is $50$ kg stands on spring balance inside a lift. The lift starts to ascend with an acceleration of $2{ m/s }^{ -2 }$. The reading of the machine or balance (g = 10${ m/s }^{ -2 }$) is

  1. 50 kg

  2. zero

  3. 49 kg

  4. 60 kg

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The apparent weight in an accelerating lift is W = m(g + a). Here, W = 50 * (10 + 2) = 50 * 12 = 600 N. Converting back to kg-force, the reading is 60 kg.

Multiple choice physics measurements and units measuring mass measurement of mass measuring instruments

A bird is sitting in a wire cage hanging form the spring balance. Let the reading of the spring balance be $W _1$. If the bird flies about inside the cage, the reading of the spring balance is $W _2$. Which of the following is true :-

  1. $W _1=W _2$

  2. $W _1&gt;W _2$

  3. $W _1 &lt; W _2$

  4. Nothing definite can be pridicted

Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice physics measurements and units measuring mass measurement of mass measuring instruments

A false balance is such that the beam remains horizontal when the pans are empty. An object weighs ${ w } _{ 1 }$ when placed in one pan and ${ w } _{ 2 }$ when placed in the other pan. Then the weight W of the object is

  1. $\sqrt { { w } _{ 1 }{ w } _{ 2 } } $

  2. $\dfrac { { w } _{ 1 }+{ w } _{ 2 } }{ 2 } $

  3. $\dfrac { 2 }{ \sqrt { { w } _{ 1 }^{ 2 }+{ w } _{ 2 }^{ 2 } } } $

  4. $\sqrt { \dfrac { { w } _{ 1 }^{ 2 }+{ w } _{ 2 }^{ 2 } }{ 2 } } $

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For a false balance with equal arm lengths but unequal pan weights or other systematic errors, the true weight is the arithmetic mean of the weights obtained in the two pans: W = (w1 + w2) / 2.

Multiple choice physics measurements and units measuring mass measurement of mass measuring instruments

An object hangs from a spring balance. The balance indicates  $30 { N }$  in air and  $20 { N }$  when the object is submerged-in.water. What does the balance indicate when the object is submerged in a liquid. with a density that is half that of water ?

  1. $20 N$

  2. $25 N$

  3. $30 N$

  4. $35 N$

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The buoyant force is proportional to the density of the liquid. In water, the loss is 30 - 20 = 10 N. In a liquid with half the density of water, the buoyant force is half, which is 5 N. The reading is 30 - 5 = 25 N.

Multiple choice physics measurements and units measuring mass measurement of mass measuring instruments

A man is standing on a weighting machine with a block in his hand. The machine records $W$. When he takes the block upwards with some acceleration the machine records $W _1$. When he takes the block down with some acceleration, the machine records $W _2$. Then choose correct option 

  1. $W _1 = W = W _2$

  2. $W _1 &lt; W &lt; W _2$

  3. $W _2 &lt; W &lt; W _1$

  4. $W _2 = W _1 &gt; W$

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When the block is accelerated upward, the man exerts more force on the machine (W1 > W). When accelerated downward, the man exerts less force on the machine (W2 < W). Thus, W2 < W < W1.