In an experiment with a beam balance, an unknown mass m is balanced by two known masses of 16 kg and 4 kg as shown in the figure. The value of the unknown mass m is

Question

In an experiment with a beam balance, an unknown mass m is balanced by two known masses of 16 kg and 4 kg as shown in the figure. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/943634bbdee73d1b0b30e2d51e1c2b45-.png" /> The value of the unknown mass m is (A) 10 kg (B) 6 kg (C) 8 kg (D) 12 kg

Tardigrade Admin · Accepted Answer

Balancing the torque: for the first case: 16 l1=m l2 for the second case: m l1=4 l2 Divide them to get m=8 kg

Q. In an experiment with a beam balance, an unknown mass $m$ is balanced by two known masses of $16 k g$ and $4 k g$ as shown in the figure.

The value of the unknown mass $m$ is

$10 k g$

$6 k g$

$8 k g$

$12 k g$

Balancing the torque:
for the first case: $16 l_{1} = m l_{2}$
for the second case: $m l_{1} = 4 l_{2}$
Divide them to get $m = 8 k g$

Q. In an experiment with a beam balance, an unknown mass m is balanced by two known masses of 16kg and 4kg as shown in the figure. The value of the unknown mass m is

10kg

6kg

8kg

12kg